Francesco Calogero | Academic Influence

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Francesco Calogero

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According to Wikipedia, Francesco Calogero is an Italian physicist, active in the community of scientists concerned with nuclear disarmament. Biography Born on 6 February 1935, he is the son of the philosopher Guido Calogero. After his father was sentenced to national exile by fascist police, Francesco Calogero spent more than one year in Scanno, a small Italian village. After World War II, Calogero graduated "laurea in fisica" cum laude at University of Rome La Sapienza, in February 1958. He became Professor of Theoretical Physics, in the same university in 1976.

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Francesco Calogero's Published Works

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Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Solution of the One‐Dimensional N‐Body Problems with Quadratic and/or Inversely Quadratic Pair Potentials (1971) (1236)
Solution of a three-body problem in one-dimension (1969) (855)
Variable Phase Approach to Potential Scattering (1968) (737)
Ground State of a One‐Dimensional N‐Body System (1969) (407)
What Is Integrability (1991) (375)
Exactly solvable one-dimensional many-body problems (1975) (355)
Nonlinear evolution equations solvable by the inverse spectral transform.—I (1976) (263)
Classical Many-Body Problems Amenable to Exact Treatments: (2002) (207)
Why Are Certain Nonlinear PDEs Both Widely Applicable and Integrable (1991) (184)
Nonlinear evolution equations solvable by the inverse spectral transform.— II (1977) (175)
Motion of poles and zeros of special solutions of nonlinear and linear partial differential equations and related «solvable» many-body problems (1978) (174)
Spectral Transform and Solitons: How to Solve and Investigate Nonlinear Evolution Equations (1988) (171)
Nonlinear evolution equations, rescalings, model PDEs and their integrability: II (1987) (146)
A method to generate solvable nonlinear evolution equations (1975) (129)
Spectral Transform and Solitons (2012) (120)
Conservation laws for classes of nonlinear evolution equations solvable by the spectral transform (1978) (118)
Coupled nonlinear evolution equations solvable via the inverse spectral transform, and solitons that come back: the boomeron (1976) (110)
Reduction technique for matrix nonlinear evolution equations solvable by the spectral transform (1981) (106)
Solution by the spectral-transform method of a nonlinear evolution equation including as a special case the cylindrical KdV equation (1978) (92)
Exact solution of a one‐dimensional three‐body scattering problem with two‐body and/or three‐body inverse‐square potentials (1974) (87)
The neatest many-body problem amenable to exact treatments (a “goldfish”?) (2001) (83)
Comparison between the exact and Hartree solutions of a one-dimensional many-body problem (1975) (81)
On a functional equation connected with integrable many-body problems (1976) (79)
Properties of the zeros of the classical polynomials and of the Bbessel functions (1979) (76)
Upper and lower limits for the number of bound states in a given central potential (1965) (74)
Nonlinear evolution equations solvable by the inverse spectral transform (1978) (68)
A novel approach to elementary scattering theory (1963) (63)
The Lax representation for an integrable class of relativistic dynamical systems (1987) (62)
An integrable Hamiltonian system (1995) (61)
The Burgers equation on the semi-infinite and finite intervals (1989) (60)
PROPERTIES OF THE ZEROS OF THE CLASSICAL POLYNOMIALS AND OF BESSEL FUNCTIONS (1978) (57)
A Solvable Nonlinear Wave Equation (1984) (53)
Equilibrium configuration of the one-dimensionaln-body problem with quadratic and inversely quadratic pair potentials (1977) (51)
Exact solution via the spectral transform of a generalization with linearlyx-dependent coefficients of the nonlinear Schrödinger equation (1978) (51)
A class of integrable Hamiltonian systems whose solutions are (perhaps) all completely periodic (1997) (50)
Necessary conditions for integrability of nonlinear PDEs (1987) (49)
A completely integrable Hamiltonian system (1996) (49)
The Eckhaus PDE iψt+ψxx+2(|ψ|2)xψ+|ψ|4ψ=0 (1987) (46)
Extension of the spectral transform method for solving nonlinear evolution equations (1978) (46)
Inverse spectral problem for the one-dimensional Schrödinger equation with an additional linear potential (1978) (45)
COSMIC ORIGIN OF QUANTIZATION (1997) (43)
Bäcklund transformations, nonlinear superposition principle, multisoliton solutions and conserved quantities for the « boomeron » nonlinear evolution equation (1976) (42)
Nonlinear Schrödinger-type equations from multiscale reduction of PDEs. I. Systematic derivation (2000) (42)
The transition from regular to irregular motions, explained as travel on Riemann surfaces (2005) (41)
Novel solution of the system describing the resonant interaction of three waves (2005) (41)
Periodic Solutions of a Many-Rotator Problem in the Plane. II. Analysis of Various Motions (2001) (40)
C‐integrable nonlinear partial differentiation equations. I (1991) (39)
One-dimensional many-body problems with pair interactions whose exact gronnd-state wave function is of product type (1975) (39)
The evolution partial differential equation ut=uxxx+3(uxxu2 +3u2xu)+3uxu4 (1987) (38)
General technique to produce isochronous Hamiltonians (2007) (36)
Matrices, differential operators, and polynomials (1981) (35)
BÄcklund transformations and functional relation for solutions of nonlinear partial differential equations solvable via the inverse scattering method (1975) (35)
Sufficient Conditions for an Attractive Potential to Possess Bound States (1965) (34)
On the zeros of bessel functions (1977) (34)
A modified modified Korteweg-de Vries equation (1985) (33)
Properties of certain matrices related to the equilibrium configuration of the one-dimensional many-body problems with the pair potentialsV1(x)=−log ∣sinx∣ andV2(x)=1/sin2x (1978) (33)
Exact bound states of some N-body systems (1973) (32)
Singularities in Angular Momentum of the Scattering Amplitude for a Class of Soluble Potentials (1962) (31)
Periodic Solutions of a System of Complex ODEs. II. Higher Periods (2002) (30)
New Solvable Variants of the Goldfish Many‐Body Problem (2016) (30)
C‐integrable nonlinear PDEs. II (1991) (30)
General analytic solution of certain functional equations of addition type (1990) (30)
Cauchy problems on the semiline and on a finite interval for the Eckhaus equation (1988) (27)
The Burgers equation on the semiline with general boundary conditions at the origin (1991) (27)
Exact solution via the spectral transform of a generalization with linearlyx-dependent coefficients of the modified Korteweg-de-Vires equation (1978) (27)
Nonlinear harmonic oscillators (2002) (26)
Upper and lower limits for the number of S-wave bound states in an attractive potential (2002) (26)
Density fluctuations in nuclear matter (1975) (25)
Exact solution via the spectral transform of a nonlinear evolution equation with linearlyx-dependent coefficients (1978) (25)
THE CONTINUATION IN TOTAL ANGULAR MOMENTUM OF PARTIAL-WAVE SCATTERING AMPLITUDES FOR PARTICLES WITH SPIN (1963) (25)
Periodic Motions Galore: How to Modify Nonlinear Evolution Equations so that They Feature a Lot of Periodic Solutions (2002) (25)
C‐Integrable nonlinear partial differential equations in N+1 dimensions (1992) (24)
C‐integrable nonlinear partial differential equations. III (1993) (24)
Lower Bounds to the Ground‐State Energy of Systems Containing Identical Particles (1969) (24)
Calogero-Moser system (2008) (24)
Numerical tests of a novel technique to compute the eigenvalues of differential operators (1985) (23)
PARTICLE CREATION IN ELECTRON-ELECTRON COLLISIONS (1960) (23)
APPROXIMATION FOR THE PHASE SHIFTS PRODUCED BY REPULSIVE POTENTIALS STRONGLY SINGULAR IN THE ORIGIN (1964) (23)
Integrable and solvable many-body problems in the plane via complexification (1998) (23)
On the zeros of hermite polynomials (1977) (23)
Lagrangian interpolation and differentiation (1982) (23)
Universality and integrability of the nonlinear evolution PDE’s describing N‐wave interactions (1989) (23)
Nonlinear Schrödinger-type equations from multiscale reduction of PDEs. II. Necessary conditions of integrability for real PDEs (2001) (23)
New Integrable Equations of Nonlinear Schrödinger Type (2004) (22)
On the Quantization of Yet Another Two Nonlinear Harmonic Oscillators (2004) (22)
Interpolation, differentiation and solution of eigenvalue problems in more than one dimension (1983) (22)
A solvable N‐body problem in the plane. I (1996) (21)
Asymptotically isochronous systems (2007) (21)
Towards a theory of chaos explained as travel on Riemann surfaces (2008) (20)
On the quantization of a nonlinear Hamiltonian oscillator (2003) (20)
Upper and lower limits on the number of bound states in a central potential (2003) (20)
Generations of Monic Polynomials such that the Coefficients of Each Polynomial of the Next Generation Coincide with the Zeros of a Polynomial of the Current Generation, and New Solvable Many-Body Problems (2015) (20)
Simple examples in singular perturbation theory: Eigenvalues that do not tend to the unperturbed values as the perturbation is switched off (1979) (20)
On the zeros of Bessel functions. - IV (1978) (19)
A technique to identify solvable dynamical systems, and a solvable generalization of the goldfish many-body problem (2004) (19)
Can the general solution of the second-order ODE characterizing Jacobi polynomials be polynomial? (2012) (19)
A new solvable model of aggregation kinetics (1999) (19)
Asymptotic density of the zeros of hermite polynomials of diverging order, and related properties of certain singular integral operators (1978) (19)
Some diophantine relations involving circular functions of rational angles (1979) (18)
Nonlinear evolution equations solvable by the inverse spectral transform associated with the multichannel Schrödinger problem, and properties of their solutions (1976) (18)
Values of the Potential and Its Derivatives at the Origin in Terms of the S‐Wave Phase Shift and Bound‐State Parameters (1968) (18)
Erratum: Solution of the one‐dimensional N‐body problems with quadratic and/or inversely quadratic pair potentials [J. Math. Phys. 12, 419–436 (1971)] (1996) (18)
Novel solvable many-body problems (2016) (18)
Isochronous and partially isochronous Hamiltonian systems are not rare (2006) (18)
HOW TO EXTEND ANY DYNAMICAL SYSTEM SO THAT IT BECOMES ISOCHRONOUS, ASYMPTOTICALLY ISOCHRONOUS OR MULTI-PERIODIC (2009) (17)
Conservation laws for a nonlinear evolution equation that includes as a special case the cylindrical KdV equation (1978) (17)
The nuclear many-body problem : proceedings of the International Symposium on Present Status and Novel Developments in the Nuclear Many-body Problem : Roma, September 19-23, 1972 (1973) (17)
Solvable Three-Body Problem and Painlevé Conjectures (2002) (17)
Examples of isochronous Hamiltonians: classical and quantal treatments (2008) (17)
On the quantization of two other nonlinear harmonic oscillators (2003) (17)
Isochronous dynamical systems (2006) (17)
Hamiltonian character of the motion of the zeros of a polynomial whose coefficients oscillate over time (1997) (17)
Proof of certain Diophantine conjectures and identification of remarkable classes of orthogonal polynomials (2007) (17)
Geometry and Integrability: Differential equations featuring many periodic solutions (2003) (16)
Tridiagonal matrices, orthogonal polynomials and Diophantine relations: II (2007) (16)
Erratum to: Computation of sturm-liouville eigenvalues via lagrangian interpolation (1983) (16)
Novel solvable extensions of the goldfish many-body model (2005) (16)
Solution of Certain Integrable Dynamical Systems of Ruijsenaars-Schneider Type with CompletelyPeriodic Trajectories (2000) (16)
Integrable Many-Body Problems (1978) (16)
Zeros of Polynomials and Solvable Nonlinear Evolution Equations (2018) (16)
On the zeros of bessel functions—II (1977) (16)
A complex deformation of the classical gravitational many-body problem that features many completely periodic motions (2002) (16)
Universal C‐integrable nonlinear partial differential equation in N+1 dimensions (1993) (15)
Solutions of certain integrable nonlinear PDE’s describing nonresonant N‐wave interactions (1989) (15)
Novel solvable variants of the goldfish many-body model (2006) (15)
Integral expressions for arbitrary phase shift differences (1966) (15)
Properties of the Zeros of the Polynomials Belonging to the Askey Scheme (2014) (15)
Solvable quantum version of an integrable Hamiltonian system (1996) (14)
A class of solvable dynamical systems (1986) (14)
A convenient expression of the time-derivative , of arbitrary order k, of the zero zn(t) of a time-dependent polynomial pN(z;t) of arbitrary degree N in z, and solvable dynamical systems (2016) (14)
On the born approximation in the potential scattering of particles with arbitrary spins (1964) (14)
Asymptotic behaviour of the zeros of the (generalized) Laguerre polynomialLnα(x) as the Index α → ∞ and limiting formula relating Laguerre polynomials of large index and large argument to hermite polynomials (1978) (14)
Eigenvectors of a matrix related to the zeros of hermite polynomials (1979) (14)
Solvable and/or Integrable and/or Linearizable N-Body Problems in Ordinary (Three-Dimensional) Space. I (2000) (14)
A technique to identify solvable dynamical systems, and another solvable extension of the goldfish many-body problem (2004) (14)
Generalized Wronskian relations, one-dimensional Schrödinger equation and nonlinear partial differential equations solvable by the inverse-scattering method (1976) (14)
On the zeros of Bessel functions.- III (1978) (14)
On the quantization of Newton-equivalent Hamiltonians (2004) (14)
Integrable systems of quartic oscillators. II (2000) (13)
Tricks of the Trade: Relating and Deriving Solvable and Integrable Dynamical Systems (2000) (13)
Novel isochronous N-body problems featuring N arbitrary rational coupling constants (2016) (13)
Interpolation in multidimensions, a convenient finite‐dimensional matrix representation of the (partial) differential operators, and some applications (1993) (13)
PARTIALLY SUPERINTEGRABLE (INDEED ISOCHRONOUS) SYSTEMS ARE NOT RARE (2004) (13)
On a modified version of a solvable ODE due to Painlevé (2002) (13)
TWO NEW SOLVABLE DYNAMICAL SYSTEMS OF GOLDFISH TYPE (2010) (13)
A solvable Hamiltonian system (1995) (13)
Additional Recursion Relations, Factorizations, and Diophantine Properties Associated with the Polynomials of the Askey Scheme (2009) (13)
Two New Classes of Isochronous Hamiltonian Systems (2004) (13)
A Solvable N-body Problem of Goldfish Type Featuring N2 Arbitrary Coupling Constants (2016) (13)
General solution of a three-body problem in the plane (2003) (12)
Nuclear many-body problem. Volume I. Proceedings of the international symposium, Rome, Italy, September 19--23, 1972 (1973) (12)
Diophantine properties of the zeros of certain Laguerre and para-Jacobi polynomials (2012) (12)
Goldfishing by gauge theory (2006) (12)
On a class of Hamiltonians with (classical) isochronous motions and (quantal) equi-spaced spectra (2006) (12)
Might a laboratory experiment destroy planet earth? (2000) (12)
Solution of the Goldfish N-Body Problem in the Plane with (Only) Nearest-Neighbor Coupling Constants All Equal to Minus One Half (2004) (12)
The hyperspherical-expansion approach to nuclear bound states (1971) (12)
Time-Dependent Polynomials with One Double Root, and Related New Solvable Systems of Nonlinear Evolution Equations (2018) (11)
Nonlinear Evolution Equations Solvable by the Inverse Spectral Transform Associated with the Matrix Schrödinger Equation (1980) (11)
On isochronous Bruschi–Ragnisco–Ruijsenaars–Toda lattices: equilibrium configurations, behaviour in their neighbourhood, diophantine relations and conjectures (2006) (11)
Integrable dynamical systems and related mathematical results (1983) (11)
On modified versions of some solvable ordinary differential equations due to Chazy (2002) (11)
Spectral transform and nonlinear evolution equations (1978) (11)
A new goldfish model (2011) (11)
A new solvable many-body problem of goldﬁsh type (2015) (11)
Three New Classes of Solvable N-Body Problems of Goldfish Type with Many Arbitrary Coupling Constants (2016) (11)
On a new technique to manufacture isochronous Hamiltonian systems: classical and quantal treatments (2007) (10)
New integrable PDEs of boomeronic type (2006) (10)
On isochronous Shabat Yamilov Toda lattices: Equilibrium configurations, behavior in their neighborhood, diophantine relations and conjectures (2006) (10)
Isochronous motions galore: Nonlinearly coupled oscillators with lots of isochronous solutions (2004) (10)
Interpolation, differentiation and solution of eigenvalue problems for periodic functions (1984) (10)
Goldfishing: A new solvable many-body problem (2006) (10)
Properties of the zeros of generalized hypergeometric polynomials (2014) (10)
Solvable Many-Body Models of Goldfish Type with One-, Two- and Three-Body Forces (2013) (10)
Generations of solvable discrete-time dynamical systems (2016) (10)
Tridiagonal matrices, orthogonal polynomials and Diophantine relations: I (2007) (10)
Transformations between solutions of different nonlinear evolution equations solvable via the same inverse spectral transform, generalized resolvent formulae and nonlinear operator identities (1976) (10)
Elementary bäcklund transformations, nonlinear superposition formulae and algebraic construction of solutions for the nonlinear evolution equations solvable by the Zakharov-Shabat spectral transform (1984) (10)
Isochronous Systems, the Arrow of Time, and the Definition of Deterministic Chaos (2011) (9)
Simple Upper Bound to the Ground-State Energy of a Many-Body System and Condition on the Two-Body Potential Necessary for Its Stability (1969) (9)
Nonlinear Evolution ODEs Featuring Many Periodic Solutions (2003) (9)
Positivity Conditions for Velocity-Dependent and Quadratic Spin-Orbit Potentials (1970) (9)
Spontaneous reversal of irreversible processes in a many-body Hamiltonian evolution (2008) (9)
Covariant spin operators and associated conservation laws for a spinor field (1961) (9)
UPPER BOUND TO THE GROUND-STATE ENERGY OF N-BODY SYSTEMS AND CONDITIONS ON THE TWO-BODY POTENTIALS SUFFICIENT TO GUARANTEE THE EXISTENCE OF MANY-BODY BOUND STATES. (1968) (9)
New solvable many-body problems in the plane (2006) (9)
Discrete-Time Goldfishing ⋆ (2011) (9)
SOLVABLE SYSTEMS OF ISOCHRONOUS, MULTI-PERIODIC OR ASYMPTOTICALLY ISOCHRONOUS NONLINEAR OSCILLATORS (2010) (9)
Analytic continuation and asymptotic behavior in angular momentum of the scattering matrix in potential scattering (1963) (9)
SINGULAR POTENTIALS AND REGULARIZATION (1965) (9)
A further solvable three-body problem in the plane (2003) (9)
Polynomials with multiple zeros and solvable dynamical systems including models in the plane with polynomial interactions (2019) (9)
The hyperspherical-expansion approach to nuclear bound states. — I (1970) (8)
EFFECTS OF PION-PION INTERACTION IN ELECTROMAGNETIC PROCESSES (1960) (8)
On the zeros of combinations of Hermite polynomials (1978) (8)
A remark on the korteweg-de vries equation (1984) (8)
Understanding complex dynamics by means of an associated Riemann surface (2011) (8)
On the Zeros of Polynomials Satisfying Certain Linear Second-Order ODEs Featuring Many Free Parameters (2013) (8)
The multicomponent Eckhaus equation (1997) (8)
The hyperspherical expansion approach to nuclear bound states.—II (1970) (8)
An exactly solvable Hamiltonian system: quantum version (1995) (8)
Short-time Poincaré recurrence in a broad class of many-body systems (2009) (8)
A new class of solvable many-body problems with constraints, associated with an exceptional polynomial subspace of codimension 2 (2007) (8)
Toward a unitarization of the Veneziano model (1969) (8)
Solvable Three-Body Problem and Painlevé Conjectures [Erratum] (2003) (8)
AN INVERTIBLE TRANSFORMATION AND SOME OF ITS APPLICATIONS (2011) (8)
Yet Another Class of NewSolvableN-Body Problems of Goldfish Type (2017) (8)
Exact Ground State of Some One-Dimensional N-Body Systems with Inverse ( (1971) (8)
Burgers equation on the semiline (1989) (8)
Diophantine Properties Associated to the Equilibrium Configurations of an Isochronous N-Body Problem (2013) (7)
New C-integrable and S-integrable systems of nonlinear partial differential equations (2017) (7)
Asymptotic behavior of theS -matrix in potential scattering for large imaginary values of angular momentum (1963) (7)
A Class of C integrable PDEs in multidimensions (1994) (7)
A macroscopic system with undamped periodic compressional oscillations (2013) (7)
Solvable Many-Body Problems and Related Mathematical Findings (and Conjectures) (1980) (7)
Interpolation and differentiation for periodic functions (1985) (7)
The hyperspherical-expansion approach to nuclear bound states (1971) (7)
Necessary conditions for saturation of nuclear forces (1969) (7)
Nonlinear differential algorithm to compute all the zeros of a generic polynomial (2016) (7)
EXPLICITLY SOLVABLE SYSTEMS OF FIRST-ORDER ORDINARY DIFFERENTIAL EQUATIONS WITH POLYNOMIAL RIGHT-HAND SIDES, AND THEIR PERIODIC VARIANTS (2021) (7)
On the integrability of certain matrix evolution equations (2000) (7)
NOTE ON THE RICCATI EQUATION (1963) (7)
New Results on a Parity-dependent Model of Aggregation (2000) (7)
A modified Schwarzian Korteweg-de Vries equation in 2 + 1 dimensions with lots of isochronous solutions (2005) (7)
Polynomials Satisfying Functional and Differential Equations and Diophantine Properties of Their Zeros (2013) (7)
POLYNOMIALS DEFINED BY THREE-TERM RECURSION RELATIONS AND SATISFYING A SECOND RECURSION RELATION: CONNECTION WITH DISCRETE INTEGRABILITY, REMARKABLE (OFTEN DIOPHANTINE) FACTORIZATIONS (2011) (6)
New solvable dynamical systems (2016) (6)
Three Solvable Many-Body Problems in the Plane (1998) (6)
Singular integral operators with integral eigenvalues and polynomial eigenfunctions (1979) (6)
A class of integrable dynamical systems (1985) (6)
Finite-dimensional matrix representations of the operator of differentiation through the algebra of raising and lowering operators: General properties and explicit examples (1981) (6)
Solvable (nonrelativistic, classical) n‐body problems in multidimensions. I (1994) (6)
On a technique to identify solvable discrete-time many-body problems (2012) (6)
A variational principle for scattering phase shifts (1963) (6)
A linear second-order ODE with only polynomial solutions (2013) (6)
Solvable (nonrelativistic, classical) n‐body problems on the line. I (1993) (6)
A new class of solvable dynamical systems (2008) (6)
A solvable many-body problem, its equilibria, and a second-order ordinary differential equation whose general solution is polynomial (2013) (6)
Properties of the Zeros of the Sum of two Polynomials (2013) (6)
Remarkable matrices and trigonometric identities (1997) (6)
NEW SOLVABLE MANY-BODY MODEL OF GOLDFISH TYPE (2012) (6)
A Solvable Many-Body Problem in the Plane (1998) (6)
Another new goldfish model (2012) (6)
Isochronous extension of the Hamiltonian describing free motion in the Poincaré half-plane : Classical and quantum treatments (2007) (6)
Isochronous Cosmologies (2014) (6)
Perturbation theory and nonanalyticity in the coupling constant in a field-theoretical model (1963) (6)
Special solutions of coupled nonlinear evolution equations with bumps that behave as interacting particles (1977) (6)
The Soviet Nuclear Weapon Legacy (1995) (6)
An integrable many-body problem (2011) (6)
A new class of isochronous dynamical systems (2008) (6)
A generalization of the phase approach to scattering theory, and some numerical results (1964) (6)
Solvable Dynamical Systems in the Plane with Polynomial Interactions (2019) (6)
Finite-dimensional representations of difference operators, and the identification of remarkable matrices (2014) (6)
New algebraically solvable systems of two autonomous first-order ordinary differential equations with purely quadratic right-hand sides (2020) (6)
Oscillatory and isochronous rate equations possibly describing chemical reactions (2009) (6)
A sequence of lax matrices for certain integrable hamiltonian systems (1976) (6)
Universal Integrable Nonlinear PDEs (1993) (6)
Levinson's theorem for energy-dependent potentials (1967) (6)
Properties of bound states and Regge poles derivable from modified Wronskian relations (1966) (5)
Integrable nonlinear evolution equations and dynamical systems in multidimensions (1995) (5)
A class of (ℓ-dependent) potentials with the same number of (ℓ-wave) bound states (2003) (5)
Time-independent Hamiltonians describing systems with friction: the “cyclotron with friction” (2018) (5)
Integrable dynamical systems obtained by duplication (1992) (5)
Properties of the zeros of the sum of three polynomials (2013) (5)
Extension of the spectral transform method for solving nonlinear evolution equations.—II (1978) (5)
COMMENT: Exact solution of an N-body problem in one dimension: two comments (1996) (5)
Integrable systems of quartic oscillators in ordinary (three-dimensional) space (2002) (5)
PION-PION INTERACTION IN ELECTROMAGNETIC PROCESSES (1960) (5)
A novel solvable many-body problem with elliptic interactions (2000) (5)
A Hamiltonian yielding damped motion in an homogeneous magnetic field: quantum treatment (2019) (5)
Isospectral matrices and classical polynomials (1982) (5)
Partially solvable quantum many-body problems in D-dimensional space (D=1,2,3,…) (1999) (5)
Lower limit in semiclassical form for the number of bound states in a central potential (2004) (5)
Comment on “Nonlinear differential algorithm to compute all the zeros of a generic polynomial” [J. Math. Phys. 57, 083508 (2016)] (2016) (5)
Integrable many-body problems in more than one dimension (1986) (5)
Isospectral matrices and polynomials (1980) (5)
Asymptotic nature of the perturbative expansion for the scattering parameters due to a potential which behaves in the origin asgr−2In(R/r) (1964) (5)
Book Reviews by F Calogero (2000) (5)
The scattering of a Dirac particle on a central scalar potential (1963) (4)
A large class of solvable discrete-time many-body problems (2014) (4)
Integrability, analyticity, isochrony, equilibria, small oscillations, and Diophantine relations: Results from the stationary Korteweg-de Vries hierarchy (2009) (4)
How to embed an arbitrary Hamiltonian dynamics in a superintegrable (or just integrable) Hamiltonian dynamics (2009) (4)
Novel differential algorithm to evaluate all the zeros of any generic polynomial (2017) (4)
Solvable Nonlinear Evolution PDEs in Multidimensional Space (2006) (4)
Isochronous Spacetimes (2014) (4)
Necessary conditions for saturation of nuclear forces (1970) (4)
The Eckhaus equation i?t + ?xx + 2(|?|2)x? + |?|4? = 0 (1988) (4)
Integrability, analyticity, isochrony, equilibria, small oscillations, and Diophantine relations: results from the stationary Burgers hierarchy (2009) (4)
Remarks on certain integrable one-dimensional many-body problems (1993) (4)
Maximum and minimum principle in potential scattering (1963) (4)
Remarks on certain integrable one-dimensional many-body problems (1993) (4)
New solvable discrete-time many-body problem featuring several arbitrary parameters. II (2012) (4)
Asymptotic density of the zeros of Laguerre and Jacobi polynomials (1978) (4)
Sufficient Conditions for Saturation of Nuclear Forces (1972) (4)
Two novel classes of solvable many-body problems of goldfish type with constraints (2007) (4)
Rational solutions of the KdV equation with damping (1979) (4)
Flux infiltration into soils: analytic solutions (1994) (4)
Finite transformations of certain isospectral matrices (1980) (4)
The Eckhaus equation in an external potential (1992) (4)
Isochronous rate equations describing chemical reactions (2010) (4)
C-integrable nonlinear PDEs. IV (1996) (4)
Solvable systems of two coupled first-order ODEs with homogeneous cubic polynomial right-hand sides (2020) (4)
Zeros of Entire Functions and Related Systems of Infinitely Many Nonlinearly Coupled Evolution Equations (2018) (3)
Modified Lee models and the field-theoretical definition of elementary particle (1962) (3)
Lower bounds to the ground-state energy ofN-body systems and conditions on the two-body potentials necessary for the existence ofN-body bound states (1968) (3)
The ABCs of Magnetic Monopole Dynamics (2001) (3)
ISOCHRONOUS DYNAMICAL SYSTEM AND DIOPHANTINE RELATIONS I (2009) (3)
A nonautonomous yet solvable discrete-time N-body problem (2014) (3)
Zeros of rational functions and solvable nonlinear evolution equations (2018) (3)
One-boson-exchange potentials and nuclear structure (1973) (3)
Solution of the System of Two Coupled First-Order ODEs with Second-Degree Polynomial Right-Hand Sides (2020) (3)
Evaluation of the potential and theS-wave scattering amplitude from the discontinuity of the latter across its left-hand cut (1968) (3)
Integral representation and generating functions for the polynomialsUn(α,β)(x) (1979) (3)
Isochronous PDEs (2005) (3)
Explicitly Solvable Systems of First-Order Difference Equations With Homogeneous Polynomial Right-Hand Sides (2021) (3)
Conserved quantities for generalized kdv equations (1980) (3)
The peculiar (monic) polynomials, the zeros of which equal their coefficients (2017) (3)
Integrable Hamiltonian N-body problems of goldfish type featuring N arbitrary functions (2017) (3)
“Exact solution of N-dimensional radial Schrödinger equation for the fourth-order inverse-power potential" (2010) (3)
Can the generalized hypergeometric equation feature several independent polynomial solutions? (2014) (3)
Cool irrational numbers and their rather cool rational approximations (2003) (3)
An isochronous variant of the Ruijsenaars–Toda model: equilibrium configurations, behavior in their neighborhood, Diophantine relations (2009) (3)
Nuclei in neutron stars (1973) (3)
ISOCHRONOUS OSCILLATORS (2010) (3)
Convergence of the perturbative approach to the N‐body problem in the N→∞ limit (1975) (3)
Energy gap in neutron star matter (1973) (3)
Solvable Systems Featuring 2 Dependent Variables Evolving in Discrete-Time via 2 Nonlinearly-Coupled First-Order Recursion Relations with Polynomial Right-Hand Sides (2019) (3)
Non-local transformations and non-local conservation laws for free fields (1961) (3)
Equilibria of a solvable N-body problem and related properties of the N numbers xn at which the Jacobi polynomial of order N has the same value (2013) (3)
Size of barely bound many body systems (1974) (3)
More, or less, trivial matrix functional equations (2016) (3)
Solvable nonlinear evolution PDEs in multidimensional space involving trigonometric functions (2007) (3)
Verification: Monitoring Disarmament (1990) (3)
Exactly solvable two-dimensional many-body problems (1976) (3)
Solution of the initial-value problem of first-order nonlinear recursions with homogeneous right-hand sides (2022) (2)
Solvable and/or integrable many-body models on a circle (2014) (2)
Some algebraically solvable two-dimensional dynamical systems with polynomial interactions (2019) (2)
Construction of the S Matrix from Its Left-Hand-Cut Discontinuity, When the Latter is Asymptotically Unbounded (1969) (2)
Variational Bounds for the Potential in Terms of the S‐Wave Phase Shift (1968) (2)
C-Integrable Generalization of a System of Nonlinear PDE's Describing Nonresonant N-Wave Interactions (1990) (2)
Additional identities for certain isospectral matrices (1981) (2)
On the zeros of Bessel functions. - V (1978) (2)
Nonlinear Lee model. II (1973) (2)
Nonlinear evolution equations solvable by the spectral transform: Some recent results (1982) (2)
Newton-equivalent Hamiltonians describing a plane rotator and their quantization (2012) (2)
A class of solutions of the asymmetric May-Leonard model (2021) (2)
Motion of strings in the plane: A solvable model. I (1997) (2)
Integrable Systems: Overview (2006) (2)
Isochronous spacetimes and cosmologies (2015) (2)
Solvable nonlinear evolution PDEs in multidimensional space involving elliptic functions (2007) (2)
Convenient parameterizations of matrices in terms of vectors (2004) (2)
Properties of the Zeros of the Polynomials Belonging to the Askey Scheme (2014) (2)
Fast-track the uranium deal (1997) (2)
Microscopic approaches to the optical-model potential (1973) (2)
Analyticity properties in energy of the complex J partial wave amplitudes in the scattering of particles with spin (1964) (2)
Two classes of explicitly solvable sextic equations (2021) (2)
Disproof of a conjecture (1982) (2)
Spin-orbit - bound nuclei (1973) (2)
Novel Class of Nonlinear Evolution Equations Solvable by the Spectral Transform Technique, Including the So-Called Cylindrical KdV Equation (1978) (2)
Integral expressions for the difference between contiguous Dirac phase shifts (1966) (2)
A comment on the paper ``Lower Bounds on the Energy Eigenvalues of Systems Containing Identical Particles'' (1974) (2)
The risk of nuclear terrorism (2003) (2)
TWO QUITE SIMILAR MATRIX ODES AND THE MANY-BODY PROBLEMS RELATED TO THEM (2012) (2)
ISOCHRONOUS SYSTEMS ARE NOT RARE (2008) (2)
$lambda$-PARTICLE BINDING IN NUCLEAR MATTER. (1970) (2)
Classical (Nonquantal, Nonrelativistic) Many-Body Problems (2001) (2)
SYSTEMATIC ITERATIVE APPROACH TO THE PROBLEM OF SCATTERING ON SINGULAR POTENTIALS (1966) (2)
Generalized nonlinear Lee model and infinity suppression due to nonlinearity (1972) (1)
Nuclear-weapon Proliferation (1991) (1)
Many-body forces in exactly solvable field-theoretical models (1975) (1)
Finite and infinite systems of nonlinearly-coupled ordinary differential equations, the solutions of which feature remarkable Diophantine findings (2018) (1)
5TH WORKSHOP ON NONLINEAR EVOLUTION-EQUATIONS AND DYNAMIC-SYSTEMS (1990) (1)
Structure and renormalization of the factor-cluster expansion (1973) (1)
The nonlinear Schrödinger equation in one dimension as a solvable model displaying certain basic features of the many-body problem in the thermodynamical limit (1976) (1)
Examples of Hamiltonians isochronous in configuration space only and their quantization (2018) (1)
Phenomenological occupation probabilities, binding energies, and the nuclear one-particle density matrix (1973) (1)
Some ideas and results on integrable nonlinear evolution systems (1991) (1)
Equivalence between velocity-dependent potentials and static potentials (1969) (1)
Arms Control in Europe (1981) (1)
Diophantine properties of the zeros of (monic) polynomials the coefficients of which are the zeros of Hermite polynomials (2015) (1)
A Macroscopic System with Undamped Periodic Compressional Oscillations (2013) (1)
Direct variational calculation of the two-body density matrix (1973) (1)
Some Ideas on Nonlinear Evolution Equations (1990) (1)
Factor-cluster expansion as a framwork for many-body theories (1973) (1)
Another new goldfish model (2012) (1)
Asymptotic behaviour of the zeros of the Jacobi polynomialsPnat,bt(x) as t→∞ and limit relations of these polynomials with Hermite polynomials (1978) (1)
Recent developments in meson-theoretical studies of the nucleon--nucleon interaction (1973) (1)
Remark on the paper « correct asymptoticλ-behavior of the partial-wave amplitude » (1969) (1)
Off-shell effects of the nucleon--nucleon force in nucleon--nucleon bremsstrahlung (1973) (1)
Explicit expressions of the potential and its derivatives at the origin in terms of the scattering data (1972) (1)
Compliance Quantified: Bibliography (1996) (1)
Explicitly solvable algebraic equations of degree 8 and 9 (2021) (1)
Why missiles in Europe (1984) (1)
New evolution PDEs with many isochronous solutions (2009) (1)
Solid neutrons stars: fact or fiction (1973) (1)
Asymptotic behaviour for large imaginary values of angular momentum of the amplitudes for the scattering of a dirac particle on a central scalar potential (1964) (1)
Solution of infinite systems of differential equations of possible interest in evolutionary theories. (1968) (1)
ISOCHRONOUS HAMILTONIAN SYSTEMS ARE NOT RARE (2008) (1)
Generalized Eulerian angles and the collective motion of many-particle system (1973) (1)
Disinventing Nuclear Weapons (1999) (1)
The nonlinear diffusion-convection equation on the semiline with time-dependent flux at the origin (1994) (1)
Nuclear physics of neutron star matter at sub-nuclear densities (1973) (1)
Explicitly solvable systems of two autonomous first-order Ordinary Differential Equations with homogeneous quadratic right-hand sides (2021) (1)
Role of International Cooperation and Scientific Community Actions for Enhancing Nuclear Safety, Security, Safeguards and Non-proliferation (2016) (1)
Another New Solvable Many-Body Model of Goldfish Type (2012) (1)
Many-Body Problem with Quadratic and/or Inversely-Quadratic Potentials in One- and More-Dimensional Spaces: Some Retrospective Remarks (2014) (1)
Solvable Many-Body Problems (1983) (0)
Compliance Quantified: Inspector Leadership (1996) (0)
Variational and reaction-matrix calculations of neutron star matter (1973) (0)
Book Reviews by F Calogero (2000) (0)
Structure of spherical nuclei in the local density approximation (1973) (0)
Many-Body Problem with Quadratic and/or Inversely-Quadratic Potentials in One- and More-Dimensional Spaces: Some Retrospective Remarks (2014) (0)
Compliance Quantified: Variables Sampling (1996) (0)
EXACTLY AND QUASI-EXACTLY SOLVABLE MODELS OF N INTERACTING PARTICLES (0)
Letters (2002) (0)
Effective two-body interaction for equivalent particles (1973) (0)
Polynomials Satisfying Functional and Differential Equations and Diophantine Properties of Their Zeros (2013) (0)
Rotblat and Pugwash: Some Personal Reminiscences (2007) (0)
Solvable nonlinear discrete-time evolutions and Diophantine findings (2018) (0)
Simple Extensions of the Lotka-Volterra Prey-Predator Model (2018) (0)
Application of the generator coordinate method to nuclear bound states and to scattering (1973) (0)
Novel rate equations describing isochronous chemical reactions (2011) (0)
High-energy scattering from nuclei and the core problem in the nuclear force (1973) (0)
GENERALIZATION OF AN INVERTIBLE TRANSFORMATION AND EXAMPLES OF ITS APPLICATIONS (2011) (0)
Compliance Quantified: Appendix (1996) (0)
The World Academy of Art and Science The European Leadership Network Dag Hammarskjöld University College of International Relations and Diplomacy at the Inter University Centre, Dubrovnik, Frane Bulića 4 (2012) (0)
An Asymptotic Approach to a NWFW (2019) (0)
Remark on the paper «an exact formula for the phase shifts» (1968) (0)
Compliance Quantified: Attributes Sampling (1996) (0)
Investigation of integrable dynamical systems and evolution PDEs (2012) (0)
NEEDS '90 6th workshop on nonlinear evolution equations and dynamical systems (1989) (0)
Lagrangian interpolation and differentiation (1983) (0)
Two remarks about the computation of nuclear matter energy in the hyperspherical basis (1977) (0)
More, or less, trivial matrix functional equations (2016) (0)
Realistic two-nucleon phenomenological potential (1973) (0)
A Scenario for Effective SALT Negotiations (1973) (0)
Simple Extensions of the Lotka-Volterra Prey-Predator Model (2018) (0)
Three-nucleon reactions and off-shell behavior of the nucleon--nucleon interaction (1973) (0)
NECESSARY CONDITIONS FOR SATURATION OF NUCLEAR FORCES. Note No. 225. (1969) (0)
Many-Body Systems in Ordinary (Three-Dimensional) Space: Solvable, Integrable, Linearizable Problems (2001) (0)
Relativistic one-boson-exchange potential, two-nucleon data, nuclear matter, and neutron matter properties (1973) (0)
Two-body T-matrix factorization and three-nucleon problem (1973) (0)
Realistic super-soft-core potential model of the N--N interaction (1973) (0)
Calculations on few-nucleon systems with correlated wave functions (1973) (0)
Variations on a Theme of Collatz (2023) (0)
Addressing the Roots of East-West Confrontation: Can Détente be Restored? (1988) (0)
SYSTEMS OF ODEs: MANY-BODY PROBLEMS, NONLINEAR HARMONIC OSCILLATORS (2008) (0)
Microscopic theory of the continuous separation-energy spectrum in quasi- free scattering (Green's function and shell-model approaches) (1973) (0)
Issues in arms control (2001) (0)
Some matrix functional equations (2016) (0)
Single-particle removal energies in many-body theories (1973) (0)
LOWER BOUND TO THE MAGNITUDE OF THE NUCLEAR BINDING ENERGIES OF DOUBLY MAGIC NUCLEI. II. VELOCITY-DEPENDENT FORCES. Note No. 254. (1970) (0)
SOME Special Solutions of a Nonlinear System of 4 Ordinary Differential Equations Recently Introduced to Investigate the Evolution of Human Respiratory Virus Epidemics (2022) (0)
Time-Dependent Polynomials with One Double Root, and Related New Solvable Systems of Nonlinear Evolution Equations (2018) (0)
Solvable and/or Integrable Many-Body Problems in The Plane, Obtained by Complexification (2001) (0)
Anti-ballistic Missiles (2018) (0)
Dannie Heineman Prize for Mathematical Physics Talk: Solvable systems of nonlinear ODEs: old and new results (2019) (0)
Isochronous solutions of Einstein's equations and their Newtonian limit (2018) (0)
On a technique to identify solvable discrete-time many-body problems (2012) (0)
Approximate Bounds on Coupling Constants from Analyticity, Crossing, and Unitarity (1968) (0)
$sup 4$He nucleus and soft core potentials (1973) (0)
Chapter 9 – The Time Factor (1993) (0)
Notes and topics (1967) (0)
LOWER BOUND TO THE MAGNITUDE OF THE NUCLEAR BINDING ENERGIES OF DOUBLY MAGIC NUCLEI. Note No. 234. (1969) (0)
Many-body perturbation theory of the effective interaction in nuclei (1973) (0)
Tensor-bound and spin--orbit-bound nuclear matter and nuclei (1973) (0)
Meson field theory of nuclei and the N--N interaction (1973) (0)
Explicitly solvable systems of first-order ordinary differential equations with homogeneous right-hand sides, and their periodic variants (2021) (0)
Correlation effects on the ground-state energy and form factor of few-body systems (1973) (0)
High energy hadron scattering on light nuclei: effect of short range correlations (1973) (0)
Solvable nonlinear integrodifferential equations of Boltzmann type. I (1992) (0)
Prospects of nuclear proliferation, or of transition to a nuclear-weapon-free world (2012) (0)
A remarkable matrix (1988) (0)
Status of potential models (1973) (0)
Oscillating solutions to second-order ODEs with indefinite superlinear nonlinearities (2017) (0)
New method for evaluating the density matrix and its application to the ground state form factor (1973) (0)
Collapsed nuclei and nuclear collapse (1973) (0)
A solvable nonlinear autonomous recursion of arbitrary order (2021) (0)
Isochronous systems and their quantization (2007) (0)
Isochronous Spacetimes (2014) (0)
THE RISK OF THE MISUSE OF HIGHLY-ENRICHED URANIUM (HEU) BY TERRORISTS (2001) (0)
Centre of mass coordinate in many-body theories (1973) (0)
Ground-state properties of three-nucleon systems: a review (1973) (0)
Third workshop on nonlinear evolution equations and dynamical systems Baia, Verde, Gallipoli, Italy; June 20–July 5, 1985: A short summary (1988) (0)
Yet Another Class of NewSolvableN-Body Problems of Goldfish Type (2016) (0)
New Solvable System of 2 First-Order Nonlinearly-Coupled Ordinary Differential Equations (2022) (0)
Variational calculations of reactions involving light nuclei (1973) (0)
One-Dimensional Systems - Motions on The Line and on The Circle (2001) (0)
Nucleon--nucleon interaction and low-energy properties of three-nucleon systems (1973) (0)
Remembering Yakov Abramovich Smorodinsky (2009) (0)
Some matrix functional equations (2016) (0)
Energy-density formalism with application to neutron star matter and r- process nucleosynthesis (1973) (0)
Novel variants of the goldfish many-body model (2006) (0)
Yet some more integrable dynamical systems (1987) (0)
Finite-dimensional representations of shift operators, remarkable matrices and matrix functional equations (2015) (0)
Dependence of the energy of nuclear matter on spin and isospin excess (1973) (0)
An Elementary Theorem in Plane Geometry and Its Multidimensional Extension (2017) (0)
Present status and open problems in few-nucleon systems (1973) (0)
Second workshop on nonlinear evolution equations and dynamical systems the Orthodox Academy, Kolymbari near Chania, Crete; August 13–28, 1983 (1984) (0)
Generations of Monic Polynomials such that the Coefficients of Each Polynomial of the Next Generation Coincide with the Zeros of a Polynomial of the Current Generation, and New Solvable Many-Body Problems (2016) (0)
Generalized Wronskian Relations: A Novel Approach to Bargmann-Equivalent and Phase-Equivalent Potentials (2015) (0)
Energy density formalism and the shell structure of nuclei (1973) (0)
Isochronous systems and their quantization (2007) (0)
N--d scattering at medium energies and corrections to Glauber's theory (1973) (0)
THE FUTURE OF NUCLEAR WEAPONRY AND OUR CIVILIZATION (2001) (0)
Charge form factor of $sup 4$He (1973) (0)
HYPERSPHERICAL-EXPANSION APPROACH TO NUCLEAR BOUND STATES. IV. THE LIMIT OF LARGE A FOR VELOCITY-DEPENDENT POTENTIALS. Note No. 313. (1973) (0)
A flexible approach to a Nordic NWFZ (2020) (0)
Study of the structure of the $sup 56$Ni double magic nucleus (1973) (0)
Compliance Quantified: A Theory of Verification (1996) (0)
Compliance Quantified: Stratified Variables Sampling (1996) (0)
The hyperspherical-expansion approach to nuclear bound states (1973) (0)
Linear and angular localization effects in nuclear structure calculations (1973) (0)
Two Peculiar Classes of Solvable Systems Featuring 2 Dependent Variables Evolving in Discrete-Time via 2 Nonlinearly-Coupled First-Order Recursion Relations (2019) (0)
‘Quasi-Nations’: The Scientific Community as a Component of a New World Order (1997) (0)
Coupled-channel calculations of pion absorption by nuclei (1973) (0)
A Nuclear Weapon-free World: Is it Desirable? Is it Possible? Is it Probable? (2019) (0)
The Political Will to Reach Nuclear Arms Control Agreements (1984) (0)
Hyperspherical expansion approach for nuclear reactions (1973) (0)
Solution of the Bethe--Goldstone equation (1973) (0)
Problems in quasi-free scattering at high missing energy. $sup 40$Ca as an example (1973) (0)
Crystallization of superdense matter (1973) (0)
Zeros of Entire Functions and Related Systems of Infinitely Many Nonlinearly Coupled Evolution Equations (2018) (0)
Erratum to: Remark on the paper correct asymptotic λ-behavior of the partial-wave amplitudes (1969) (0)
Simple and exact method for calculating the reaction matrix in finite nuclei (1973) (0)
Workshop on nonlinear evolution equations and dynamical systems the orthodox academy of Crete, Chania, Crete, July 9–23, 1980: A short summary (1981) (0)
Calculations of superheavy nuclei (1973) (0)
P--d scattering at high energies (1973) (0)
The non‐proliferation treaty (1967) (0)
Towards a Nuclear-Weapon-Free World (2013) (0)
Diagrammatic analysis of the Jastrow theory (1973) (0)
Dynamical implications of correlations (1973) (0)
Erratum to: Singular integral operators with integral eigenvalues and polynomial eigenfunctions (1979) (0)
A SINGLE ODE OF ARBITRARY ORDER (2008) (0)
N-Body Problems Treatable Via Techniques of Exact Lagrangian Interpolation in Spaces of One or More Dimensions (2001) (0)
Double-nucleon emission following pion absorption using the Faddeev equations in the final state (1973) (0)
Book Reviews by F Calogero (2000) (0)
The Eckhaus equation i$\psi$t + $\psi$xx + 2(|$\psi$|2)x$\psi$ + |$\psi$|4$\psi$ = 0 (1988) (0)
SUFFICIENT CONDITIONS FOR SATURATION OF NUCLEAR FORCES. Note No. 341. (1971) (0)
Convergence of the hyperspherical expansion treatment of few-nucleon bound states (1973) (0)

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