Pavel Winternitz

Q: What Schools Are Affiliated With Pavel Winternitz

Pavel Winternitz is affiliated with the following schools: Université de Montréal, University of British Columbia, Saint Petersburg State University

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Pavel Winternitz

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Pavel Winternitz's Degrees

PhD Physics University of British Columbia
Masters Physics University of British Columbia
Bachelors Physics University of British Columbia

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According to Wikipedia, Pavel Winternitz was a Canadian Czech-born mathematical physicist. He did his undergraduate studies at Prague University and his doctorate at Leningrad University under the supervision of J. A. Smorodinsky. His research is on integrable systems and symmetries.

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Pavel Winternitz'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

Invariants of real low dimension Lie algebras (1976) (468)
Non-classical symmetry reduction: example of the Boussinesq equation (1989) (336)
ON HIGHER SYMMETRIES IN QUANTUM MECHANICS (1965) (334)
Subalgebras of real three‐ and four‐dimensional Lie algebras (1977) (281)
Classical and quantum superintegrability with applications (2013) (245)
A systematic search for nonrelativistic systems with dynamical symmetries (1967) (205)
Formalism of Nucleon-Nucleon Elastic Scattering Experiments (1978) (199)
Continuous subgroups of the fundamental groups of physics. I. General method and the Poincaré group (1975) (197)
Everything you always wanted to know about SU(3) ⊃ 0(3) (1975) (166)
Continuous symmetries of discrete equations (1991) (164)
The computer calculation of Lie point symmetries of large systems of differential equations (1991) (163)
Are all the equations of the Kadomtsev–Petviashvili hierarchy integrable? (1986) (157)
Symmetry reduction for the Kadomtsev–Petviashvili equation using a loop algebra (1986) (155)
An infinite family of solvable and integrable quantum systems on a plane (2009) (147)
Exact solvability of superintegrable systems (2000) (142)
Continuous symmetries of difference equations (2005) (134)
LIE GROUPS AND SOLUTIONS OF NONLINEAR DIFFERENTIAL EQUATIONS (1983) (133)
Superintegrable systems in Darboux spaces (2003) (132)
Continuous subgroups of the fundamental groups of physics. II. The similitude group (1975) (128)
Superintegrability with third-order integrals in quantum and classical mechanics (2002) (121)
Classification and Identification of Lie Algebras (2014) (118)
Superintegrability in a two-dimensional space of nonconstant curvature (2001) (117)
Symmetries and conditional symmetries of differential difference equations (1993) (115)
Complete sets of commuting operators and O (3) scalars in the enveloping algebra of SU (3) (1974) (114)
The Group $O(4)$, Separation of Variables and the Hydrogen Atom (1976) (112)
Lie symmetries of a generalised nonlinear Schrodinger equation: I. The symmetry group and its subgroups (1988) (110)
A new basis for the representations of the rotation group. Lamé and Heun polynomials (1973) (108)
Painlevé transcendents : their asymptotics and physical applications (1992) (107)
Group theoretical analysis of dispersive long wave equations in two space dimensions (1990) (106)
Superintegrability in Classical and Quantum Systems (2004) (104)
Symmetry classes of variable coefficient nonlinear Schrodinger equations (1993) (101)
Lie group classification of second-order ordinary difference equations (2000) (100)
Lie group formalism for difference equations (1997) (99)
On the infinite‐dimensional symmetry group of the Davey–Stewartson equations (1988) (99)
Dynamical invariance algebra of the Hartmann potential (1987) (97)
Periodic orbits for an infinite family of classical superintegrable systems (2009) (95)
Continuous subgroups of the fundamental groups of physics. III. The de Sitter groups (1977) (95)
Lie symmetries of a generalised non-linear Schrodinger equation. II. Exact solutions (1989) (94)
Lie Groups and Solutions of Nonlinear Partial Differential Equations (1993) (94)
Superposition principles for matrix Riccati equations (1983) (92)
Normal forms of elements of classical real and complex Lie and Jordan algebras (1983) (88)
Solvable Lie algebras with Abelian nilradicals (1994) (88)
Symmetries and integrability of difference equations (1996) (87)
Symmetry reduction for nonlinear relativistically invariant equations (1984) (87)
On the Identification of a Lie Algebra Given by its Structure Constants (1988) (86)
Symmetries of discrete dynamical systems (1996) (85)
Nonclassical symmetry reductions for the Kadomtsev-Petviashvili equation (1991) (82)
A class of solvable Lie algebras and their Casimir invariants (2004) (82)
Tensor fields invariant under subgroups of the conformal group of space‐time (1978) (81)
Integrable Hamiltonian Systems With Velocity Dependent Potentials (1985) (78)
Subgroups of the Poincaré group and their invariants (1976) (77)
An infinite family of superintegrable deformations of the Coulomb potential (2010) (76)
Lie point symmetries of difference equations and lattices (2000) (75)
On the integrability of systems of nonlinear ordinary differential equations with superposition principles (1986) (74)
Quantum superintegrability and exact solvability in n dimensions (2001) (72)
Solvable Lie algebras with Heisenberg ideals (1993) (71)
Polynomial irreducible tensors for point groups (1978) (70)
Integrable Nonlinear Equations for Water Waves in Straits of Varying Depth and Width (1987) (67)
Group foliation and non-invariant solutions of the heavenly equation (2001) (67)
Systems of ordinary differential equations with nonlinear superposition principles (1982) (67)
Integrable Systems: From Classical to Quantum (2000) (66)
Symmetries of variable coefficient Korteweg–de Vries equations (1992) (64)
Continuous symmetries of Lagrangians and exact solutions of discrete equations (2003) (64)
Superintegrable systems with third-order integrals of motion (2007) (64)
Lie symmetries of a generalised non-linear Schrodinger equation. III. Reductions to third-order ordinary differential equations (1989) (63)
Exact solutions of the multidimensional classical φ6‐field equations obtained by symmetry reduction (1987) (62)
Reduction of superintegrable systems: the anisotropic harmonic oscillator. (2008) (62)
Quantum numbers for particles in de Sitter space (1976) (60)
Symmetry breaking interactions for the time dependent Schrödinger equation (1976) (59)
Energy dependence of nucleon-nucleon inelastic total cross-sections (1987) (59)
Symmetries of the discrete Burgers equation (1999) (58)
Classification of systems of nonlinear ordinary differential equations with superposition principles (1984) (57)
Superposition laws for solutions of differential matrix Riccati equations arising in control theory (1985) (56)
Contractions of Lie algebras and separation of variables (1996) (55)
Integrable and superintegrable Hamiltonian systems in magnetic fields (2000) (54)
Solvable Lie algebras with triangular nilradicals (1998) (54)
Lie symmetries of multidimensional difference equations (2001) (53)
Integrable and superintegrable quantum systems in a magnetic field (2003) (53)
Superintegrable systems in quantum mechanics and classical Lie theory (2001) (53)
Third-order superintegrable systems separating in polar coordinates (2010) (52)
Contractions of Lie algebras and separation of variables. The n -dimensional sphere (1999) (51)
Symmetries of Discrete Systems (2003) (51)
Lie Point Symmetry Preserving Discretizations for Variable Coefficient Korteweg–de Vries Equations (2000) (50)
Subgroups of the Euclidean group and symmetry breaking in nonrelativistic quantum mechanics (1977) (50)
Evolution equations invariant under two-dimensional space-time Schrödinger group (1993) (49)
Umbral calculus, difference equations and the discrete Schrödinger equation (2003) (45)
Subgroups of Lie groups and separation of variables (1981) (45)
Nonlinear equations invariant under the Poincaré, similitude, and conformal groups in two-dimensional space-time (1990) (45)
Group Theory and exact Solutions of Partially Integrable Differential Systems (1990) (44)
Lie algebra contractions and symmetries of the Toda hierarchy (2000) (44)
Nonlinear superposition principles: a new numerical method for solving matrix Riccati equations (1984) (43)
Generalized Kadomtsev–Petviashvili equation with an infinite-dimensional symmetry algebra (2001) (42)
The optical group and its subgroups (1978) (42)
Polynomial Poisson algebras for classical superintegrable systems with a third-order integral of motion (2006) (41)
Difference schemes with point symmetries and their numerical tests (2006) (41)
SOLITONS IN SHALLOW SEAS OF VARIABLE DEPTH AND IN MARINE STRAITS (1989) (41)
Abelian integrals and the reduction method for an integrable Hamiltonian system (1985) (41)
INVARIANT EXPANSIONS OF RELATIVISTIC AMPLITUDES AND SUBGROUPS OF THE PROPER LORENTZ GROUP (1964) (40)
Group theoretical approach to superposition rules for systems of Riccati equations (1981) (40)
Integrable and superintegrable systems with spin (2006) (40)
The cylindrical Kadomtsev-Petviashvili equation; its Kac-Moody-Virasoro algebra and relation to KP equation (1988) (39)
Symmetries of the self‐dual Einstein equations. I. The infinite‐dimensional symmetry group and its low‐dimensional subgroups (1989) (38)
Exact solutions of the spherical quintic nonlinear Schrödinger equation (1989) (38)
Periodicity and quasi-periodicity for super-integrable Hamiltonian systems (1990) (38)
Higher indices of group representations (1976) (38)
Nonlinear equations with superposition principles and the theory of transitive primitive Lie algebras (1984) (37)
Allowed transformations and symmetry classes of variable coefficient Korteweg-de Vries equations (1992) (37)
Algebra of pseudodifferential operators and symmetries of equations in the Kadomtsev–Petviashvili hierarchy (1997) (37)
Symmetry Reduction and Exact Solutions of Nonlinear Partial Differential Equations (1999) (37)
Scattering formalism for nonidentical spinor particles (1980) (36)
The maximal solvable subgroups of the SU(p,q) groups and all subgroups of SU(2,1) (1974) (36)
A nonseparable quantum superintegrable system in 2D real Euclidean space (2011) (36)
Generalized Casimir operators of solvable Lie algebras with Abelian nilradicals (1994) (35)
Graded contractions of sl(3,C) (1991) (34)
Exact results in the three-dimensional Landau-Ginzburg model of magnetic inhomogeneities in uniaxial ferromagnets: I. Continuous transitions (1988) (33)
Classical trajectories for two ring‐shaped potentials (1992) (33)
On bases for irreducible representations of O (3) suitable for systems with an arbitrary finite symmetry group (1976) (33)
Classical and quantum integrable systems in 263-1263-1263-1and separation of variables (1993) (32)
CLASSICAL AND QUANTUM INTEGRABLE SYSTEMS IN GL(2)+* AND SEPARATION OF VARIABLES (1995) (32)
ODEPAINLEVE - A MACSYMA package for painlevé analysis of ordinary differential equations (1986) (32)
Integrable systems based on SU(p,q) homogeneous manifolds (1993) (31)
Discretization of partial differential equations preserving their physical symmetries (2005) (31)
Superposition formulas for rectangular matrix Riccati equations (1987) (30)
Quadratic Hamiltonians in phase space and their eigenstates (1980) (30)
Bäcklund transformations and the infinite-dimensional symmetry group of the Kadomtsev-Petviashvili equation (1986) (30)
Lie-Theoretical Generalization and Discretization of the Pinney Equation☆ (1997) (29)
Symmetry reduction and superintegrable Hamiltonian systems (2009) (29)
Clebsch-Gordan Coefficients for the Coupling of SL(2, C) Principal-Series Representations (1970) (29)
Three-dimensional superintegrable systems in a static electromagnetic field (2015) (29)
Integrable and superintegrable systems with spin in three-dimensional Euclidean space (2009) (28)
General Nth order integrals of motion in the Euclidean plane (2015) (28)
Symmetries of discrete dynamical systems involving two species (1998) (28)
Maximal abelian subalgebras of real and complex symplectic Lie algebras (1983) (28)
Third-order superintegrable systems separable in parabolic coordinates (2012) (27)
The Conformal Group SU(2, 2) and Integrable Systems on a Lorentzian Hyperboloid (1994) (27)
Canonical transformation and accidental degeneracy. III. A unified approach to the problem (1975) (27)
Separation of variables for the Hamilton-Jacobi equation on complex projective spaces (1985) (27)
Fourth order superintegrable systems separating in Cartesian coordinates I. Exotic quantum potentials (2017) (26)
Group theoretical analysis of a rotating shallow liquid in a rigid container (1989) (26)
Group invariant solutions for the N=2 super Korteweg–de Vries equation (1999) (26)
MAXIMAL ABELIAN SUBALGEBRAS OF PSEUDOUNITARY LIE ALGEBRAS (1990) (26)
Superintegrable systems with spin and second-order integrals of motion (2012) (25)
Weak transversality and partially invariant solutions (2002) (25)
Completely integrable relativistic Hamiltonian systems and separation of variables in Hermitian hyperbolic spaces (1983) (25)
Representations of the quantum algebra suq(2) on a real two‐dimensional sphere (1993) (25)
Bäcklund and Darboux transformations : the geometry of solitons : AARMS-CRM Workshop, June 4-9, 1999, Halifax, N.S., Canada (2001) (25)
The maximal solvable subgroups of SO(p,q) groups (1974) (25)
All solvable extensions of a class of nilpotent Lie algebras of dimension n and degree of nilpotency n − 1 (2008) (24)
Simple subgroups of simple Lie groups and nonlinear differential equations with superposition principles (1986) (24)
Fourth order superintegrable systems separating in polar coordinates. I. Exotic potentials (2017) (24)
Symmetry Preserving Discretization of SL(2,ℝ) Invariant Equations (2007) (23)
Nonlinear equations with superposition formulas and the exceptional group G2. I. Complex and real forms of g2 and their maximal subalgebras (1986) (22)
Invariant solutions of hydrodynamic-type equations (2000) (22)
General Nth-order superintegrable systems separating in polar coordinates (2018) (22)
Lie symmetries and exact solutions of first-order difference schemes (2004) (22)
Point symmetries of conditionally integrable nonlinear evolution equations (1990) (22)
On the relation between weak and strong invariance of differential equations (1993) (22)
Contractions of Lie algebras and the separation of variables: interbase expansions (2001) (22)
QUANTUM NUMBERS IN THE LITTLE GROUPS OF THE POINCARE GROUP. (1966) (21)
Superposition formulas for nonlinear superequations (1990) (21)
Separation of variables and subgroup bases on n-dimensional hyperboloids (2002) (20)
Discretizing families of linearizable equations (1998) (20)
Maximal abelian subalgebras of complex orthogonal lie algebras (1990) (20)
Invariants of the nilpotent and solvable triangular Lie algebras (2001) (20)
Lie point symmetries and commuting flows for equations on lattices (2001) (20)
Symmetries, Lagrangian Formalism and Integration of Second Order Ordinary Difference Equations (2003) (19)
Quasiseparation of variables in the Schrödinger equation with a magnetic field (2005) (19)
A class of superintegrable systems of Calogero type (2006) (19)
Complex parabolic subgroups of G2 and nonlinear differential equations (1986) (19)
Harmonics on hyperspheres, separation of variables and the bethe ansatz (1995) (19)
Contractions of Lie Algebras and Separation of Variables.. Two-Dimensional Hyperboloid (1997) (19)
Erratum: Higher indices of group representations (1977) (18)
Crossing Symmetric Expansions of Physical Scattering Amplitudes; The O(2, 1) Group and Lamé Functions (1971) (18)
Lie-point symmetries of the discrete Liouville equation (2014) (18)
Fourth-order superintegrable systems separating in polar coordinates. II. Standard potentials (2018) (18)
Subgroups of the similitude group of three-dimensional Minkowski space (1976) (18)
Symmetries of the Continuous and Discrete Krichever-Novikov Equation ⋆ (2011) (18)
Lorentz and Galilei Invariance on Lattices (2003) (17)
The adjoint equation method for constructing first integrals of difference equations (2015) (17)
Direct reconstruction of pp elastic scattering amplitudes from experimental data between 0.83 and 2.7 GeV (1990) (17)
Grading refinements in the contractions of Lie algebras and their invariants (1996) (17)
Nonlinear action of Lie groups and superposition principles for nonlinear differential equations (1982) (17)
Partially invariant solutions of a class of nonlinear Schrodinger equations (1992) (17)
Heisenberg algebra, umbral calculus and orthogonal polynomials (2007) (17)
Nonlinear superposition formulas based on imprimitive group action (1999) (17)
Pseudopotentials and Lie symmetries for the generalized nonlinear Schrödinger equation (1982) (16)
Conditional symmetries and conditional integrability for nonlinear systems (1991) (16)
Nonlinear Relations Between Observables in the Scattering of Spinor Particles and the Direct Reconstruction of the Scattering Matrix (1983) (16)
Physical Applications of Painlevé Type Equations Quadratic in the Highest Derivatives (1992) (16)
Symmetry Classification of Diatomic Molecular Chains (2001) (15)
Lie group classification of first-order delay ordinary differential equations (2017) (15)
Spherical type integrable classical systems in a magnetic field (2018) (15)
Fifth-order superintergrable quantum system separating in Cartesian coordinates. Doubly exotic potentials (2017) (15)
Subalgebras of Lie algebras. Example of sl(3,ℝ) (2004) (15)
Lie algebras under constraints and non-bijective canonical transformations (1988) (15)
Recursion and Symmetry Relations for the Clebsch‐Gordan Coefficients of the Homogeneous Lorentz Group (1970) (15)
Invariant difference schemes and their application to invariant ordinary differential equations (2009) (15)
Symmetries and Integrability of Difference Equations: Symmetry Preserving Discretization of Differential Equations and Lie Point Symmetries of Differential-Difference Equations (2011) (15)
Superposition formulas for pseudounitary matrix Riccati equations (1996) (15)
Nonlinear differential equations and lie superalgebras (1987) (14)
Bases for representations of quantum algebras (2000) (14)
Symmetries and solutions of the vector nonlinear Schrödinger equation ( (1997) (14)
Maximal Abelian subgroups of the isometry and conformal groups of Euclidean and Minkowski spaces (1997) (14)
Point Symmetries of Generalized Toda Field Theories (2000) (14)
PASCAL programs for identification of lie algebras Part 2: SPLIT — a program to decompose parameter-free and parameter-dependent Lie algebras into direct sums (1987) (13)
Structure preserving discretizations of the Liouville equation and their numerical tests (2015) (13)
Higher Order Quantum Superintegrability: A New “Painlevé Conjecture” (2019) (13)
Infinite families of superintegrable systems separable in subgroup coordinates (2012) (13)
Partially invariant solutions of nonlinear Klein–Gordon and Laplace equations (1992) (13)
Lie point symmetries of differential–difference equations (2010) (13)
Graded contractions of the Lie algebra e(2, 1) (1999) (13)
Critical review of the present experimental status of neutron-proton scattering up to 1 GeV (1987) (13)
On the integrability properties of variable coefficient Korteweg-de Vries equations (1996) (12)
SEPARATION OF VARIABLES AND LIE-ALGEBRA CONTRACTIONS. APPLICATIONS TO SPECIAL FUNCTIONS (2003) (12)
On the symmetry groups of the intrinsic generalized wave and sine–Gordon equations (1993) (12)
Symmetry in physics : in memory of Robert T. Sharp (2004) (12)
Superintegrable systems with spin induced by co-algebra symmetry (2013) (12)
Maximal abelian subalgebras of pseudoorthogonal lie algebras (1992) (12)
New classes of exact solutions of the 6 model in 3+1 dimensions (1987) (12)
Anti-nucleon - nucleon scattering formalism and possible tests of CPT invariance (1991) (11)
Symmetry preserving discretization of ordinary differential equations. Large symmetry groups and higher order equations (2015) (11)
Equivalence Classes and Symmetries of the Variable Coefficient Kadomtsev—Petviashvili Equation (2004) (11)
The Korteweg–de Vries equation and its symmetry-preserving discretization (2014) (11)
Nonlinear equations with superposition formulas and exceptional group G2. III. The superposition formulas (1988) (11)
Continuous Symmetries of Differential-Difference Equations (1995) (11)
Solutions of the multidimensional Sine Gordon equation obtained by symmetry reduction (1982) (10)
Definitions and Predictions of Integrability for Difference Equations (2011) (10)
Solvable Lie algebras with Borel nilradicals (2011) (10)
SOLUTIONS TO THE OPTICAL CASCADING EQUATIONS (1998) (10)
Group theory and solutions of classical field theories with polynomial nonlinearities (1993) (10)
Polarization phenomena in nucleon-nucleon forward scattering (1980) (10)
Superintegrable Systems in Classical and Quantum Mechanics (2004) (10)
CALL FOR PAPERS: Special issue on Symmetries and Integrability of Difference Equations Special issue on Symmetries and Integrability of Difference Equations (2009) (10)
Comments on superposition rules for nonlinear coupled first‐order differential equations (1984) (10)
POLARIZED PROTON TARGETS AND LOW-ENERGY NUCLEON--NUCLEON EXPERIMENTS. (1967) (10)
Group Theory and Numerical Analysis (2005) (9)
Cylindrical type integrable classical systems in a magnetic field (2019) (9)
Two-dimensional superintegrable systems from operator algebras in one dimension (2018) (9)
Two-Variable Galilei-Group Expansions of Nonrelativistic Scattering Amplitudes (1973) (9)
Poincaré and Lorentz invariant expansions of relative amplitudes (1968) (9)
Linear or linearizable first-order delay ordinary differential equations and their Lie point symmetries (2017) (9)
Symmetries of the Discrete Nonlinear Schrödinger Equation (2001) (9)
Are there contact transformations for discrete equations? (2011) (8)
First integrals of ordinary difference equations beyond Lagrangian methods (2013) (8)
RELATIVISTIC TWO-VARIABLE EXPANSIONS FOR THREE-BODY DECAY AMPLITUDES. (1971) (8)
Can phase shift analysis above the inelastic threshold provide unambiguous results (1979) (8)
Stability analysis for the quartic Landau-Ginzburg model. II (1990) (8)
Maximal Abelian subalgebras of complex Euclidean Lie algebras (1994) (8)
Relation between Bäcklund transformations and higher continuous symmetries of the Toda equation (2001) (8)
Discrete matrix Riccati equations with superposition formulas (2003) (8)
CLEBSCH--GORDAN COEFFICIENTS FOR THE LORENTZ GROUP. I. PRINCIPAL SERIES. (1967) (8)
Point symmetries of generalized Toda field theories: II. Symmetry reduction (2000) (7)
First integrals of difference equations which do not possess a variational formulation (2014) (7)
Families of transitive primitive maximal simple Lie subalgebras of _ (1997) (7)
Solutions of Nonlinear Differential and Difference Equations with Superposition Formulas (1999) (7)
Singularity analysis, balance equations and soliton solution of the nonlocal complex Ginzburg-Landau equation (1999) (7)
Nonlinear equations with superposition formulas and the exceptional group G2. II. Classification of the equations (1987) (7)
1 Prolongation structures of nonlinear evolution equations 8 Singularities for fluids with p = w equation of state 11 Analytic vector harmonic expansions on SU (2) and S2 (1975) (7)
The classification of complete sets of operators commuting with the Dirac operator in Minkowski space-time (1988) (6)
Graf's Addition Theorem Obtained from SO(3) Contraction (2001) (6)
Superintegrability with second- and third-order integrals of motion (2009) (6)
One‐Parameter Subgroups of Unitary Groups with Indefinite Metric and in Particular of the Conformal Group (1971) (6)
HUYGENS' PRINCIPLE AND SEPARATION OF VARIABLES (2000) (6)
Erratum: Polynomial Poisson Algebras for Classical Superintegrable Systems with a Third Order Integral of Motion [J. Math. Phys. 48, 012902 (2007)] (2008) (6)
MAXIMAL ABELIAN SUBALGEBRAS OF E(P, Q) ALGEBRAS (1998) (6)
Contact transformations for difference schemes (2011) (6)
P∞ algebra of symmetries of the kadomtsev-petviashvili equation, free fermions, and 2-cocycles in the lie algebra of pseudo-differential operatorsalgebra of symmetries of the kadomtsev-petviashvili equation, free fermions, and 2-cocycles in the lie algebra of pseudo-differential operators (1997) (6)
Symmetry Preserving Discretization of the Burgers Equation (2000) (6)
Discrete two-variable expansions of scattering amplitudes for particles with spin (1980) (6)
New infinite families of Nth-order superintegrable systems separating in Cartesian coordinates (2020) (5)
Lie group analysis of a generalized Krichever-Novikov differential-difference equation (2014) (5)
P ALGEBRA OF KP, FREE FERMIONS AND 2-COCYCLE IN THE LIE ALGEBRA OF PSEUDODIFFERENTIAL OPERATORS (1997) (5)
Structures in proton-proton scattering at intermediate energies (1984) (5)
Elementary Particle Reactions and the Lorentz and Galilei Groups (1975) (5)
Expansions of relativistic scattering amplitudes and harmonic analysis on the lorentz group (1971) (5)
Two-variable expansions of relativistic amplitudes and the subgroups of the SU(2,1) group (1969) (5)
CROSSING-SYMMETRIC EXPANSIONS OF SCATTERING AMPLITUDES, THRESHOLD BEHAVIOR, AND ASYMPTOTICS. (1971) (5)
Erratum: “A class of superintegrable systems of Calogero type” [J. Math. Phys. 47, 093505 (2006)] (2007) (5)
Subgroup Type Coordinates and the Separation of Variables in Hamilton-Jacobi and Schrödinger Equations (2004) (5)
Lie point symmetries and ODEs passing the Painlevé test (2017) (5)
Loop Algebra Symmetries and Commuting Flows for the Kadomtsev-Petviashvili Hierarchy (1994) (5)
Relativistic energy-dependent partial-wave analysis for particles with spin (1979) (4)
Successive Refinements of Gradings and Graded Contractions of sl(3,C) (1997) (4)
A nonlinear superposition principle for Riccati equations of the conformal type (1980) (4)
SUBGROUPS OF LIE GROUPS AND SYMMETRY BREAKING (1977) (4)
Invariant trilinear couplings involving both SU(2) and SU(1, 1) states (1973) (4)
HARMONIC ANALYSIS ON THE DALITZ PLOT AND eta $Yields$ 3$pi$ DECAYS. (1973) (4)
Optimal Complete and Optimal Sufficient Sets of Experiments for Elastic Nucleon-Nucleon Scattering (1978) (4)
Relativistic Partial-Wave Analysis in Two Variables and the Crossing Transformation (1970) (4)
General Nth order integrals of the motion (2015) (4)
Discrete Two Variable Expansions of Physical Scattering Amplitudes (1976) (4)
Superintegrable systems with spin and second-order tensor and pseudo-tensor integrals of motion (2021) (3)
Superintegrable systems with spin in two- and three-dimensional Euclidean spaces (2007) (3)
Analysis of the energy dependence of proton-proton total cross-sections in terms ofO4 expansions (1986) (3)
Conformally Invariant Elliptic Liouville Equation and Its Symmetry-Preserving Discretization (2017) (3)
Continuous symmetries of equations on lattices (2001) (3)
Continuous Symmetries and Integrability of Discrete Equations (2023) (3)
Hyperspherical Harmonics, Separation of Variables and the Bethe Ansatz (1994) (3)
Second-order delay ordinary differential equations, their symmetries and application to a traffic problem (2019) (3)
Symmetries and Integrability of Difference Equations: Nonlinear difference equations with superposition formulae (1999) (3)
Two-variable lorentz-group expansions of physical scattering amplitudes for particles with arbitrary spins (1972) (3)
Symmetries and Conditional Symmetries of a Non-relativistic Chern-Simons System (1994) (3)
Integrability, chaos and nonlinear superposition formulas for differential matrix Riccati equations (1986) (3)
Lie groups, singularities and solutions of nonlinear partial differential equations (2003) (3)
Contraction and Interbases Expansions on N-Sphere (2002) (2)
First integrals of ordinary difference equations which do not possess a variational formulation (2013) (2)
The nucleon-nucleon triple scattering parameters for recoil particles (1968) (2)
Simultaneous phase shift analysis of 210 MeV nucleon-nucleon scattering (1968) (2)
Groups and Symmetries (2009) (2)
Isotopic spin conservation and charge distribution in multipion production (1974) (2)
Representations of the Lorentz Group: New Integral Relations between Legendre Functions (1970) (2)
Superposition laws for nonlinear equations arising in optimal control theory (1983) (2)
Lie groups and numerical solutions of differential equations: Invariant discretization versus differential approximation (2013) (2)
TWO-VARIABLE EXPANSIONS BASED ON THE LORENTZ AND CONFORMAL GROUPS. (1971) (2)
Symmetry Reduction for Nonlinear wave Equations in Riemannian and Pseudo-Riemannian Spaces (1984) (2)
Integrability and superintegrability without separability (2004) (2)
Tests of isospin invariance in neutron-proton scattering (1981) (2)
Possible ambiguities in $pi$N phase-shift analysis (1976) (2)
The maximal Abelian subgroups of the conformal group of space-time (1978) (2)
Symmetry in Physics (2004) (2)
Two-dimensional expansions of relativistic amplitudes in the Mandelstam triangle and crossing symmetric reactions (1969) (2)
Time-dependent realization of the infinite-dimensional hydrogen algebra (2001) (2)
KINEMATICS OF K/sub l3/ DECAY AMPLITUDES AND RELATIVISTIC EQUATIONS FOR SPIN-ZERO PARTICLES. (1973) (2)
Cohomology and symmetry of differential equations (1991) (2)
On the Direct Reconstruction of Nucleon-Nucleon Scattering Amplitudes (1976) (1)
Symmetries of Differential Difference equations and Lie Algebra Contractions (2001) (1)
Casimir operators of subalgebras of the Poincare Lie algebra and of real Lie algebras of low dimension (1976) (1)
Dimensional Reduction for Equations Involving Discrete and Continuous Variables (1993) (1)
Two-variable expansions for nucleon-nucleon scattering (1982) (1)
Bäcklund transformations, conservation laws and lie symmetries for the generalized nonlinear Schrödinger equation (1980) (1)
Point Symmetries of Generalized Toda Field Theories II Applications of the Symmetries (2000) (1)
Symmetries of Differential Equations on a Lattice. An Example: The Toda Lattice (1993) (1)
Superposition Principles for Nonlinear Differential Equations (1981) (1)
TWO-VARIABLE EXPANSIONS AND THE K $Yields$ 3$pi$ DECAYS. (1972) (1)
Solutions of (2+1)-dimensional spin systems (1996) (1)
On Symmetry Groups in Clasical and Quantum Mechanics; O GRUPPAKH SIMMETRII V KLASSICHESKOI I KVANTOVOI MEKHANIKE (1965) (1)
Lie group contractions and separation of variables (1998) (1)
Symmetries and nonlinear phenomena : proceedings of the International School on Applied Mathematics, Paipa (Colombia), Feb. 22-26, 1988 (1988) (1)
Invariant Solutions of Equations of the Hydrodynamic Type (2000) (1)
Angular distribution of gamma quanta in the capture of polarized μ−-mesons by atomic nuclei (1962) (1)
Symmetries, Differential Equations and Applications (2018) (1)
Maximal Abelian Subgroups of SU(p,q) and Integrable Hamiltonian Systems (1994) (1)
Potential Scattering and Galilei-Invariant Expansions of Scattering Amplitudes (1973) (1)
Two-Variable Expansions and pn-->3pi Annihilations at Rest (1973) (1)
Solvable Lie algebras with Heisenberg nilradical (2014) (1)
On the integrability and perturbations of systems of Ode's with nonlinear superposition principles (1986) (1)
Algebraic Methods in Physics : A Symposium for the 60th Birthdays of Jiří Patera and Pavel Winternitz (2001) (1)
Ordinary di ff erential and di ff erence equations invariant under SL ( 2 , R ) and their solutions (2009) (1)
ON RELATIVISTIC ANGULAR MOMENTUM THEORY (1965) (1)
On Lie Group Classification of Second-Order Ordinary Difference Equations (2000) (1)
Ordinary differential and difference equations invariant under SL(2,R) and their solutions (2009) (1)
Lie symmetries and superintegrability in quantum mechanics (2002) (1)
Discretizing the Liouville equation (2015) (0)
THE CURRENT GENERATED ALGEBRAS AND FORM-FACTORS (1965) (0)
Use of Polarized Proton Target in the Investigation of Low-Energy Nucleon- Nucleon Interactions; PRIMENENIE POLYARIZOVANNOI POLYARIZOVANNOI PROTONNOI MISHENI DLYA ISSLEDOVANIYA NUKLON-NUKLONNOGO VZAIMODEISTVIYA PRI NIZKIKH ENERGIYAKH (1965) (0)
1 2 A pr 2 00 2 Symmetry Classification of Diatomic Molecular Chains (0)
Subgroup type coordinates in four-dimensional flat spaces (2004) (0)
03 10 01 3 v 1 1 O ct 2 00 3 Lorentz and Galilei Invariance on Lattices (0)
Superposition formulas based on nonprimitive group action (2001) (0)
Symmetry Classification of Systems of Differential-Difference Equations (2002) (0)
Lie algebras up to dimension 3 (2014) (0)
A note on generalization of the Lewis invariant and the Ermakov systems (2017) (0)
Hamilton-Jacobi equations in SU (2, 2) homogeneous spaces (1981) (0)
Lie group classification of second-order delay ordinary differential equations (2019) (0)
JACOBI ELLIPTIC SOLUTIONS OF THE QUINTIC NONLINEAR KLEIN-GORDON EQUATIONS (1988) (0)
Decomposition into a direct sum (2014) (0)
un 2 00 2 Weak Transversality and Partially Invariant Solutions (2002) (0)
94 03 00 5 v 1 1 M ar 1 99 4 Symmetries of the Kadomstev-Petviashvili Hierarchy (0)
Elliptic Function Solutions for Landau-Ginzburg Equation (1990) (0)
TWO-DIMENSIONAL EXPANSIONS OF RELATIVISTIC AMPLITUDES, REGGE TRAJECTORIES, AND DAUGHTER POLES. (1968) (0)
Symmetry reduction for the Kadomtsev-Petviashvili equation using its infinite dimensional invariance group (1987) (0)
ROZHDENIE VEKTORNOGO MEZONA I SIMMETRIYA [SU(3) x SU(3)]/sub coll/. (Vector Meson Production and the [SU(3) x SU(3)]/sub coll/ Symmetry). (1966) (0)
Bäcklund transformations as nonlinear ordinary differential, or difference equations with superposition formulas (2001) (0)
Polarization correlation in the scattering of polarized nucleons (1968) (0)
Symmetry Groups of Multidimensional Integrable Nonlinear Systems (1990) (0)
NON-EXISTENCE OF ORTHOGONAL COORDINATES ON THE COMPLEX AND QUATERNIONIC PROJECTIVE SPACES (2020) (0)
Integrable systems : from classical to quantum : proceedings of the 38th session of the séminaire de mathématiques supérieures, July 26 - August 6, 1999 Montréal, Québec, Canada (2000) (0)
Symmetries and Integrability of Difference Equations: Contents (2011) (0)
Spherical Functions for the Quantum Group su_q(2) (1994) (0)
Solvable Lie algebras with filiform and quasifiliform nilradicals (2014) (0)
Two-variable expansions and anti pn $Yields$ 3$pi$ annihilations at rest (1973) (0)
BARYON ANNIHILATION IN BROKEN U(12) SYMMETRY (1965) (0)
Symmetries and Integrability of Difference Equations: Introduction (2011) (0)
Lie point symmetries of delay ordinary differential equations (2019) (0)
Geometry of Quantum Spaces. Volume 1. By V. S. Varadarajan. Pp. 193. 1968. (Van Nostrand.) (1970) (0)
ELECTROMAGNETIC CURRENT AND FORM FACTORS FOR THE MESON 35-PLET IN THE BROKEN SL(6,C)-SYMMETRY. (1966) (0)
Symmetries of the Kadomstev-Petviashvili Hierarchy (1994) (0)
ELASTIC SCATTERING OF NUCLEONS ON A TARGET WITH SPIN 1 (1961) (0)
Possible ambiguities inπNphase-shift analysis (1976) (0)
Four-dimensional Lie algebras (2014) (0)
Pseudopotentials and Symmetries for Generalized Nonlinear Schrödinger Equations (1981) (0)
Levi decomposition. Identification of the radical and Levi factor (2014) (0)
Completely integrable Hamiltonian systems and the separation of variables (1983) (0)
Levi decomposable algebras (2014) (0)
Conformally Invariant Elliptic Liouville Equation and Its Symmetry-Preserving Discretization (2018) (0)
Solvable Lie algebras and their nilradicals (2014) (0)
Applications of Nonlinear PDE’s to the Modelling of Ferromagnetic Inhomogeneities (1990) (0)
Oscillating solutions to second-order ODEs with indefinite superlinear nonlinearities (2017) (0)
BARION-BARIONNOE RASSEYANIE VPERED I KOLLINEARNYE SIMMETRII. (Baryon- Baryon Forward Scattering and Collinear Symmetries). (1966) (0)
Six-dimensional Lie algebras (2014) (0)
3D superintegrable systems with magnetic field (2015) (0)
481 Geometric quantization and UIR's of semisimple Lie groups. II. Discrete series 484 Geometric quantization and UIR's of semisimple Lie groups. III. Principal and supplementary series (1982) (0)
ROZHDENIE BARIONNYKH REZONANSOV I KOLLINEARNYE SIMMETRII. (Baryon Resonance Production and Collinear Symmetries). (1966) (0)
Similarity Solutions of Equations of Nonlinear Optics (1991) (0)
GROUP THEORETICAL METHODS AND THE NONLINEAR SCHRODINGER EQUATION (1982) (0)
Group theoretical expansions of scattering amplitudes for particles with spin (1978) (0)
IN MEMORY OF YAKOV ABRAMOVICH SMORODINSKY (2009) (0)
A superintegrable time-dependent system with kac-moody symmetry (2002) (0)
On Higher Symmetries in Quantum Mechanics; K VOPROSU O VYSSHIKH SIMMETRIYAKH V KVANTOVOI MEKHANIKE (1965) (0)
TWO-MESON ANNIHILATION OF ANTIPROTON AND HIGH SYMMETRIES. (1968) (0)
Yakov Abramovich Smorodinsky and his influence on my life (2009) (0)
Invariants of the coadjoint representation of a Lie algebra (2014) (0)
Identification of Lie algebras through the use of invariants (2014) (0)
POLARIZATION TENSOR IN THE SCATTERING OF POLARIZED NUCLEONS ON A POLARIZED PROTON TARGET (1966) (0)
Geometry of Quantum Spaces. Volume 1 (1970) (0)
RELATIVISTIC EXPANSIONS OF SCATTERING AMPLITUDES AND THE REGGE POLE THEORY. (1969) (0)
Umbral Calculus, Difference Equations and the (2008) (0)
First integrals of difference equations which do not possess a variational formulation (2014) (0)
Vector meson production and [SU(3) ⊗SU(3)]coll symmetry (1968) (0)
The nilradical of a Lie algebra (2014) (0)
Lie point symmetries and exact solutions of nonlinear differential equations (1991) (0)
USE OF A POLARIZED PROTON TARGET FOR THE STUDY OF LOW-ENERGY NUCLEON-- NUCLEON INTERACTIONS. (1967) (0)
Two-Meson Annihilation of Baryons in Broken SL(6,C) Symmetry; DVUKHMEZONNAYA ANNIGILYATSIYA BARIONOV V NARUSHENNOI SIMMETRII SL(6,C) (1966) (0)
Low-dimensional Lie algebras (2014) (0)
Representation theory of compact groups (1980) (0)
Symmetries and nonlinear phenomena in physics (2008) (0)
v 2 5 N ov 2 00 7 Integrable and superintegrable systems with spin (2008) (0)
Investigating the structure of a Lie algebra (1986) (0)
Antiproton Annihilation into Two Mesons and Higher Symmetries (1966) (0)
ASSOCIATE EDITORS C. F. WARNER—Jet Propulsion News A. F. BOCHENEK—ARS News H. S. SEIFERT—Literature Digest (1951) (0)
ON THE STRUCTURE OF VECTOR AND AXIAL CURRENTS IN BROKEN /U tilde/(12) SYMMETRY (1965) (0)
RECONSTRUCTION OF PROTON PROTON PARTIAL WAVE AMPLITUDES USING O(4) EXPANSIONS (1983) (0)
Invariant solutions of delay differential equations (2018) (0)
Conformally invariant discrete elliptic Liouville equation (2017) (0)
Corrigendum: Fourth order superintegrable systems separating in polar coordinates. I. Exotic potentials (J. Phys. A: Math. Theor. 50 495206) (2018) (0)
Structure of the lists of low-dimensional Lie algebras (2014) (0)
Five-dimensional Lie algebras (2014) (0)
Symmetries and Integrability of Difference Equations: Preface (2011) (0)
Classical and Quantum Superintegrable Systems with N-th Order Integrals of Motion (2015) (0)
Maximal subgroups of the conformal group and tensor fields in compactified Minkowski space (1978) (0)
SPIN CORRELATION TENSOR IN THE SCATTERING OF POLARIZED NUCLEONS BY POLARIZED PROTON TARGET. (1967) (0)
Nilpotent, solvable and Levi decomposable Lie algebras (2014) (0)
Separation of Variables and Darboux Transformations (2000) (0)
Nilpotent Lie algebras (2014) (0)
Recognition of a Lie algebra given by its structure constants (2014) (0)
Symmetry properties and solutions of nonlinear dispersive thin‐film equations in three dimensions (1991) (0)
Subgroups of Lie groups and symmetry reduction for nonlinear partial differential equations (1984) (0)

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