Paul Frederick Zweifel

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Physics

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#5983

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Nuclear Physics

#66

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#96

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Paul Frederick Zweifel's Published Works

Number of citations in a given year to any of this author's works

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

Linear Transport Theory (1967) (1806)
From Clocks to Chaos: The Rhythms of Life (1988) (1424)
Advanced Mathematical Methods for Scientists and Engineers (1980) (825)
FRACTAL PHYSIOLOGY AND CHAOS IN MEDICINE (1990) (355)
Neutron Transport Theory (1967) (230)
Wigner Method in Quantum Statistical Mechanics (1967) (216)
On the spectrum of the linear transport operator (1974) (120)
Global existence, uniqueness and asymptotic behaviour of solutions of the Wigner–Poisson and Schrödinger‐Poisson systems (1994) (114)
Clustering Phenomena in Nuclei (1971) (84)
An exact solution of equations of radiative transfer for Local Thermodynamic Equilibrium in the non-gray case. Picket fence approximation☆ (1966) (56)
Existence and Uniqueness Theorems for the Neutron Transport Equation (1963) (51)
Reactor physics (1973) (51)
Time‐dependent dissipation in nonlinear Schrödinger systems (1995) (47)
ALLOWED CAPTURE-POSITRON BRANCHING RATIOS (1957) (46)
A review of: “Statistical mechanics at the turn of the decade” (1973) (43)
The Unity of the Fundamental Interactions (1986) (42)
Generalized kinetic equations (1984) (40)
Slowing Down of Neutrons by Hydrogenous Moderators (1955) (38)
Reactor Analysis. (Book Reviews: The Theory of Neutron Slowing Down in Nuclear Reactors) (1966) (38)
Nonlinear Evolution and Chaotic Phenomena (1988) (37)
A discrete-velocity, stationary Wigner equation (2000) (35)
Vlasov theory of plasma oscillations: Linear approximation (1977) (33)
Time‐Dependent One‐Speed Albedo Problem for a Semi‐Infinite Medium (1965) (32)
Numerical simulations of perturbed Vlasov equilibria (1990) (31)
Wigner Approach to the Two-Band Kane Model for a Tunneling Diode (2003) (29)
Radiative Transfer. II (1966) (29)
Extension of the case formulas to Lp. Application to half and full space problems (1975) (28)
A Fokker-Planck equation for growing cell populations (1987) (28)
Multigroup neutron transport. I. Full range (1976) (26)
Numerical quadrature of Fourier transform integrals. II (1956) (26)
The Wigner transform and the Wigner-poisson system (1992) (26)
Steady, one‐dimensional multigroup neutron transport with anisotropic scattering (1976) (25)
Quasi-Classical Treatment of Neutron Scattering (1962) (22)
Developments in Transport Theory (1967) (22)
Abstract No. 14 (1961) (22)
An overview of Schrödinger-Poisson problems☆ (1995) (22)
Global solutions of the Boltzmann equation on a lattice (1979) (21)
On quasi-linear Schrödinger-Poisson systems (1997) (20)
Transformation of Scattering Cross Sections (1954) (20)
Generalized Diatonic and Pentatonic Scales: A Group-Theoretic Approach (1996) (19)
Capture-Positron Branching Ratios (1954) (19)
A Banach Space Analysis of the Chandrasekhar H-Equation (1976) (18)
Dirac Hamiltonian for strong Coulomb fields (1981) (17)
single-mode saturation of a linearly unstable plasma (1985) (17)
A Review of: “Partial differential equations of mathematical physics, Tyn Myint-U, (North-Holland, 1980). $24.50 USA” (1981) (16)
Relationships among Generalized Phase‐Space Distributions (1969) (16)
Quasiclassical Theory of Neutron Scattering (1965) (14)
PARITY-DECOMPOSITION METHOD FOR THE STATIONARY WIGNER EQUATION WITH INFLOW BOUNDARY CONDITIONS (2001) (14)
SELF-SHIELDING OF LUMPED-POISON MIXTURES (1956) (14)
The Case eigenfunction expansion for a conservative medium (1976) (13)
Error Estimates for Galerkin Approximations to the Periodic Schrödinger‐Poisson System (1996) (13)
INVARIANT IMBEDDING AND CASE EIGENFUNCTIONS. (1969) (13)
Inflow Boundary Conditions in Quantum Transport Theory (1999) (12)
THE SLOWING DOWN OF NEUTRONS BY DEUTERIUM (1960) (12)
The scientific work of Albert Einstein (1980) (12)
Application of orthogonality relations to singular integral equations (1990) (12)
CALCULATION OF THERMAL GROUP CONSTANTS FOR MIXTURES CONTAINING HYDROGEN (1957) (12)
A generalized transport equation (1982) (12)
On the solution of nonlinear matrix integral equations in transport theory (1976) (12)
Functional analytic treatment of the transport equation (1976) (12)
Dissipation in Wigner–Poisson systems (1994) (12)
Measurement in quantum mechanics, and the EPR paradox (1974) (11)
An exact analytical solution of a radiative transfer problem in a binary mixture (1990) (11)
Quantum BGK modes for the Wigner-poisson system (1996) (11)
On multigroup transport theory with a degenerate transfer kernel (1972) (11)
A neutral gas model for electron swarms (1989) (11)
Theory of Pulsed Neutron Experiments in Multiplying Media (1959) (11)
the half-Hartley and the half-Hilbert transform (1994) (10)
Discretized Boltzmann equation: Lattice limit and non-Maxwellian gases (1979) (10)
Matrix Reimann-Hilbert Problems Related to Neutron Transport Theory (1971) (10)
DISCRETE SPECTRUM OF THE TRANSPORT OPERATOR. (1970) (10)
Spectrum of a Vlasov-Fokker-Planck operator (1981) (10)
The Boltzmann equation and its properties (1984) (10)
Renormalization of binary trees derived from one-dimensional unimodal maps (1990) (9)
Periodic solutions to the Wigner-Poisson equation (1996) (9)
A boltzmann equation for phonons and electrons (1979) (9)
THE CANONICAL INVERSE PROBLEM (1999) (8)
Thermal Neutron Scattering (1966) (8)
Conference on mathematical aspects of transport theory (1973) (8)
ASYMPTOTIC REACTOR THEORY (1961) (8)
Transverse plasma oscillations (1979) (8)
Whither existence theory (1985) (8)
Explicit Matrix Wiener–Hopf Factorizations (1976) (7)
A note on the singular eigenfunction method in transport theory (1988) (7)
Resolvent integration techniques for generalized transport equations (1979) (7)
A report on the Fourth Conference on Transport Theory (1975) (7)
The Riemann-Hilbert problem for nonsymmetric systems (1991) (7)
NEUTRON SELF-SHIELDING (1960) (7)
Vlasov-Fokker-Planck description of plasma stability (1981) (6)
Escape-Probabilities in Asymptotic Reactor Theory (1961) (6)
The Mathematical Physics of Music (2005) (6)
Eigenvalue problem for singular potentials (1979) (6)
The poisson-Wigner system: A quantum transport equation ☆ (1993) (6)
Solution of the Two-Group Neutron Transport Equation—II (1968) (6)
A report on the eighth international conference on transport theory (1981) (6)
Spectrum of a Vlasov-Fokker-Planck operator-II (1981) (6)
Solutions of singular integral equations from gas dynamics and plasma physics (1993) (6)
Recent Applications of Neutron Transport theory (1964) (6)
Anisotropic plasma boundary value problem for longitudinal waves (1980) (5)
DIFFUSION LENGTHS IN HETEROGENEOUS MEDIA (1961) (5)
Singular integral equations on the interval (1993) (5)
Sixth (inter)national conference on transport theory Tucson, Arizona, April 2–6, 1979 (1979) (5)
A Review of: “Operator methods in quantum mechanics, martin schechter, (North-Holland, Inc. Amsterdam, 1981). $32.50 USA and Canada, $44.00/ 90 DFL elsewhere.” (1981) (5)
Possible bound states of repulsive potentials (1981) (5)
Erratum: The half‐Hartley and half‐Hilbert transforms [J. Math. Phys. 35, 2648 (1994)] (1994) (5)
Conservative neutron-transport theory (1977) (5)
Convergence of a lattice model of the boltzmann equation (1979) (4)
The Age of U233 Fission Neutrons in Water (1959) (4)
THE CYLINDRICAL CELL APPROXIMATION IN THERMAL UTILIZATION (1967) (4)
Blacksburg comes to montecatini June 10–14, 1985 (1986) (4)
Greuling-Goertzel Calculations in Heavy Water (1960) (4)
Multigroup transport equation with a separable kernel (1971) (4)
Uniqueness of solutions to the linearized Boltzmann equation (1978) (4)
A note on conservation laws (1994) (4)
Singular integral equations on closed contours (1988) (4)
Singular integral equations on closed contours - II (1990) (4)
Critical multigroup transport (1977) (4)
Resolvent Integration Methods in Transport Theory (1982) (4)
The Poincaré–Bertrand Formula: A Derivation and a Generalization (1977) (4)
Cauchy problems involving non-selfadjoint operators (1987) (3)
Kenneth Case and his Singular “Eigenfunctions” (2012) (3)
Twenty years of transport theory (1978) (3)
Mathematical problems in kinetic theory: Oberwolfach Conference, 22--26 November 1982 (1983) (3)
A note on the spectral theorem (1986) (3)
Preliminary Report on Sodium Temperature Coefficients in Large Fast Reactors (1959) (3)
Boundary conditions in quantum transport theory (1997) (3)
Analysis of the dispersion function for anisotropic longitudinal plasma waves (1979) (3)
Application of the closure relation in transport theory (1987) (3)
AN EXACT SOLUTION OF THE EQUATIONS OF RADIATIVE TRANSFER (1965) (3)
Periodic and stationary solutions to the Schrödinger-Poisson and Wigner-Poisson systems (1994) (3)
Criticality and Flux Calculations for Hydrogenous Assemblies (1957) (3)
Some Topics in Radiative Transfer (1967) (3)
A program for excellence in physics and physical science teaching (1992) (3)
Completeness theorems in transport theory (1984) (3)
Second-Order Corrections to Beta Spectra (1954) (3)
Consistent P 1 Criticality Calculations (1961) (3)
An H 2 O-D 2 O Moderated Reactor (1960) (3)
The law of radioactive decay (1981) (3)
Developments in transport theory : a NATO Advanced Study Institute on Transport Theory held at Ankara, Turkey (1967) (2)
Another collection of problems in transport theory (1975) (2)
The Schrödinger-Poisson eigenmatrix problem (1996) (2)
Existence and asymptotic behaviour of standing waves for quasilinear Schrödinger – Poisson systems in R 3 (2008) (2)
Mathematical methods in transport theory: Conference held at Oberwolfach, Germany, October 31–November 5, 1976 (1977) (2)
ANISOTROPIC SCATTERING IN THE SN METHOD (1964) (2)
NOTE ON THE THERMAL NEUTRON SPECTRUM IN A DIFFUSING MEDIUM (1959) (2)
Energy Group Structures and Minimum Critical Mass (1976) (2)
Twelfth international conference on transport theory (1987) (2)
On The Order Of The Linear. Instability Of A Plasma (1983) (2)
Recent developments in transport theory (1975) (2)
An existence and uniqueness theorem for the Vlasov-Maxwell equations (1979) (2)
Generalized spectral decomposition, with application to the reduced transport operator (1974) (2)
International conference on quantum kinetic theory (1996) (2)
Quantum transport theory (1998) (2)
Mixed boundary-value problems for the two-dimensional Schrödinger-Poisson system (1997) (2)
Some Remarks About Bridge Probabilities (1986) (2)
NEUTRON AGE IN DIPHENYL (1957) (2)
The Three Faces of “Eve” A Second-Person Analysis of Italian Opera (1997) (2)
Transport theory revisited - 1960-1995 (A case history) (1997) (2)
AVERAGES OF THERMAL CROSS SECTIONS FOR HYDROGEN-MODERATED ASSEMBLIES (1956) (2)
A Review of: “Algebraic Methods in Statistical Mechanics and Quantum Field Theory, by Gerald G. Emch, Wiley-Interscience” (1972) (2)
Linear and nonlinear plasma oscillations (1985) (2)
Methods of fluid dynamics in nuclear physics catania, Italy, April 9–11, 1984 an interdisciplinary workshop (1984) (2)
Recent developments in kinetic theories (1976) (2)
Conference report: “On latest developments and fundamental advances in radiative transfer” (1996) (2)
THE EFFECT OF FAST REACTOR CALCULATIONS OF FLUX DEPRESSION IN SCATTERING RESONANCES (1961) (1)
A report on the PCT, SPIN, and STATISTICS symposium (1990) (1)
Multigroup representations of slowing-down kernels in H$sub 2$O (1976) (1)
Distributional solutions of singular integral equations (1990) (1)
DIFFUSION PARAMETERS FOR HETEROGENEOUS SYSTEMS (1961) (1)
Energy conservation and economics (1975) (1)
82. A direct interaction model for inelastic scattering (1956) (1)
Erratum: ‘‘The Riemann–Hilbert problem for nonsymmetric systems’’ [J. Math. Phys. 32, 3540 (1991)] (1992) (1)
International symposium on nuclear power technology and economics (1975) (1)
SCATTERING RESONANCES AND FAST REACTOR CALCULATIONS (1962) (1)
CALCULATION OF FAST AND THERMAL GROUP CONSTANTS WITH APPLICATIONS TO DIPHENYL (1956) (1)
A Simplified Derivation of the Poincaré-Bertrand Formula (1974) (1)
Normal and antinormal ordering of boson operator functions (1985) (1)
Singular eigenfunctions and invariant imbedding. (1989) (1)
Modal Approximations: Theory and an Application to Reactor Physics (1968) (1)
Are there viable alternatives to nuclear power (1974) (1)
Ivan Kuščer, Orthogonality and All That (2003) (1)
The maximal chain model— a one dimensional system with a first-order phase transition (1985) (1)
MULTIGROUP DIFFUSION EQUATIONS WITH ARBITRARY SPACE DEPENDENT COEFFICIENTS (1961) (1)
Invariance principle and its applications, a symposium held at Byurakan astronomical observatory, Byurakan, Armenia U.S.S.R., October 26–30, 1981 (1981) (1)
Conference on transport theory firence, Italy, June 7—9, 1978. (1978) (1)
Just Tuning and the Unavoidable Discrepancies (1994) (1)
PARTICLE TRANSPORT IN GASES, PLASMAS, SEMICONDUCTORS, AND NUCLEAR SYSTEMS: THE SIXTEENTH INTERNATIONAL CONFERENCE ON TRANSPORT THEORY (2001) (1)
Mathematical problems in the kinetic theory of GASES, Oberwolfach, 8–24 May 1988 (1988) (1)
BILINEAR INTEGRAL EQUATIONS IN BANACH SPACE (1977) (1)
Methods of fluid dynamics in nuclear physics (1984) (1)
Multigroup neutron transport. II. Half range (2014) (1)
THE INFLUENCE OF NON-1/v ABSORBERS ON REACTOR PARAMETERS. PROCEEDINGS OF THE NEUTRON THERMALIZATION CONFERENCE, APRIL 28-30, 1958, GATLINBURG, TENNESSEE (1959) (1)
CALCULATION OF WIGNER-WILKINS SPECTRA WITH M = 18 KERNEL AND M = 1 SOURCE. PROCEEDINGS OF THE NEUTRON THERMALIZATION CONFERENCE, APRIL 28-30, 1958, GATLINBURG, TENNESSEE (1959) (1)
Reply to the comments of Bertrand et al. (1991) (1)
Biographical Memoir of Ken Case (2014) (1)
APPLICATION OF THE QUASICLASSICAL METHOD TO INCOHERENT NEUTRON SCATTERING BY MOLECULES. (1967) (1)
NATO at NOTO (1988) (1)
100 years Boltzmann equation a meeting report (1972) (1)
A report on the Gibbs symposium (1989) (1)
Transport theoretical methods in physics: An international workshop at graz, austria (1977) (1)
Theoretical Calculations Gain Importance in Reactor Design (1967) (1)
The law of radioactive decay.—II (1983) (1)
A Survey oh Wigner-Poisson Problems (1994) (1)
Annual Review of Nuclear and Particle Science: Volume 28 (1981) (1)
On the Energy-Dependent Transport Equation (1963) (1)
THE SLOWING DOWN OF NEUTRONS IN HYDROGENOUS MEDIA--STATUS OF THEORY AND EXPERIMENT (1958) (1)
COMPARISON OF APPROXIMATE RESONANCE TREATMENTS FOR LIGHT-WATER-MODERATED SYSTEMS. (1970) (0)
ANALYSIS OF PULSED-NEUTRON REACTOR STARTUP (1962) (0)
BOOK REVIEW (2001) (0)
Fifteenth international conference on transport theory: Göteborg, Sweden, June 1-7, 1997 (1998) (0)
Spectral Methods in Linear Transport Theory (H. G. Kaper, C. G. Lekkerkerker and J. Hejtmanek) (1984) (0)
Comments on “Anisotropic Scattering Coefficients in the Constant Cross-Section Transport Equation” (1967) (0)
Applied mathematics of transport theory. Progress report, September 1982-November 1983 (1983) (0)
Report on ICTT-23, Santa Fe, New Mexico, September 15–20, 2013 (2014) (0)
VALIDITY OF THE QUASICLASSICAL METHOD IN NEUTRON SCATTERING. (1969) (0)
SLOW NEUTRON SCATTERING, THE "SCATTERING LAW," AND G(r,t) (1963) (0)
The Current Status of Neutron Transport Theory in USA (1967) (0)
LOCALIZED SOURCE MULTIPLICATION AND REACTOR STARTUP (1962) (0)
COMPARISON OF NEUTRON TRANSPORT AND DIFFUSION THEORY FROM CALCULATION OF THE MINIMUM CRITICAL MASS. (1972) (0)
TRANSFORMATION OF SCATTERING CROSS SECTIONS AND APPLICATIONS TO THE BOLTZMANN EQUATION (1953) (0)
Conference report: Fourteenth international conference on transport theory 12–17 June, 1995, Beijing, P.R. China (1995) (0)
Applied mathematics of transport theory. Summary progress report (1984) (0)
Book reviewThe slowing down and thermalization of neutrons: by M. M. R. Williams. 582 pages, diagrams, 6 × 9 in. New York, John Wiley & Sons, Inc., 1966. Price, $19.50 (1967) (0)
Contents, Vol. 53, 1920 (0)
SOLUTION OF DIFFUSION EQUATIONS IN RECTANGULAR CELLS (1963) (0)
Applied mathematics of transport theory: Technical (progress) report, March 15, 1987-November 15, 1987 (1987) (0)
On the Kinetics Equations for Fast Reactors (1972) (0)
HAFEVER: An Inelastic Scattering Code for the IBM 704 Computer (1960) (0)
CRITICAL CONDITIONS IN ASYMPTOTIC REACTOR THEORY (1963) (0)
Re: “An H2O-D2O Moderated Reactor” (1961) (0)
Introduction to the Proceedings of the 21st International Conference on Transport Theory (2010) (0)
Solutions of the two-group neutron transport equation : part II : technical report. (1968) (0)
Half-space general multi-group transport theory : technical report (1968) (0)
NUMERICAL QUADRATURE OF TRIGONOMETRIC FUNCTIONS (1955) (0)
RE: "AN H$sub 2$O-D$sub 2$O MODERATED REACTOR" (1960) (0)
GROUP AVERAGING OF DIFFUSION COEFFICIENTS (1962) (0)
Neutron optics : final report. (1964) (0)
RELATIONS AMONG ANGULAR FLUX FROM VARIOUS SOURCES (1962) (0)
Thermal neutron spectrum measured by a crystal spectrometer : technical report (1963) (0)
AGES AND SLOWING-DOWN DENSITIES FOR PROMPT AND DELAYED FISSION NEUTRONS IN Zr-H$sub 2$O MIXTURES (1955) (0)
Letters to the editor (1987) (0)
Thirteenth international conference on transport theory: 10–14 May 1993, Riccione, Italy (1994) (0)
INTERFERENCE BETWEEN RESONANCES IN A SLAB LATTICE. (1968) (0)
A review of: “Methods of modern mathematical physics, Volume II. Fourier analysis, self-adjointness. by Michael Reed and Barry Simon. Academic Press, New York (1975).” (1976) (0)
Intermediate Energy Nuclear Physics (1971) (0)
A transport equation for relativistic particles (1995) (0)
NUCLEAR CROSS SECTION STATUS REPORT (1956) (0)
Applied mathematics of transport theory: Final report, December 1, 1983-March 31, 1987 (1987) (0)
Relationships among generalized phase-space distributions : technical report (1968) (0)
(Transport theory and fluid dynamics). Progress report, December 1, 1984-November 30, 1985 (1985) (0)
On the Connection Between Absorption and Anisotropy of Scattering in Neutron Transport Theory (1968) (0)
Quantum Statistics and Slow Neutron Scattering by Gases (1967) (0)
Transport theory and fluid dynamics (1985) (0)
Applied mathematics of transport theory. Progress report, September 1981-September 1982 (1981) (0)
Light absorption by electron bremsstrahlung in highly ionized gases : technical report (1968) (0)
Energy-dependent neutron transport theory in the fast domain : technical report (1968) (0)
QUASI-CLASSICAL APPROXIMATION FOR SCATTERING FROM MOLECULES. (1968) (0)
Contents, Vol. 36, Supplement 1, 1912 (0)
Applied mathematics of transport theory (1990) (0)
Gravitation, Quanta and the Universe (1982) (0)
Some comments on case eigenfunctions (1997) (0)
Second international conference on quantum kinetic theory (1998) (0)
AN IMPROVED DIFFUSION THEORY BOUNDARY CONDITION (1956) (0)
Neutron optics : progress report May 1, 1961, to May 1, 1962. (1961) (0)
Reactor Analysis, 2nd review (1961) (0)
Applied mathematics of transport theory: Progress report, November 15, 1987--October 15, 1988 (1988) (0)
Conference report: The 25th symposium on mathematical physics. Torun, Poland 8-11 December, 1992 (1993) (0)
Non-Linear Problems in Transport Theory (1974) (0)
A Review of: “Applied Nonlinear Semigroups” (2000) (0)
A Review of: “A Concise Guide to Semigroups and Evolution Equations” (2000) (0)
THE AGE OF U$sup 233$ FISSION NEUTRONS IN WATER (1959) (0)
The halfHartley and the halfHilbert transform (2014) (0)
TIME-DEPENDENT ONE-VELOCITY ALBEDO PROBLEM FOR A SEMI-INFINITE MEDIUM (1964) (0)
The mathematical tourist (1993) (0)
PARAMETERIZATION OF SPECTRUM-AVERAGED THERMAL CROSS SECTIONS. (1970) (0)
Unidentified man recognized (1979) (0)
THE MAJORANA NEUTRINO AND BETA-DECAY (1953) (0)
Applied mathematics of transport theory. Progress report, December 1, 1983-November 30, 1984 (1984) (0)
Institute for Mathematical Physics a Discrete{velocity, Stationary Wigner Equation a Discrete-velocity, Stationary Wigner Equation (2009) (0)
A review of: “The sun in the church” (2000) (0)
A review of: “Mathematical methods of quantum mechanics” (1973) (0)

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Published Works

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