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Solution of the Schrödinger equation in terms of classical paths

Data up to Jan 2025

Published1974
Citations371
References56

Total Citations Per Year

Abstract

References (56)

Inhomogeneous Electron Gas

1964 • 48,242 citations

Scattering Theory of Waves and Particles

1982 • 4,261 citations

Scattering theory of waves and particles

1967 • 2,092 citations

Shell effects in nuclear masses and deformation energies

1967 • 1,930 citations

On the nuclear structure and stability of heavy and superheavy elements

1969 • 1,643 citations

Periodic Orbits and Classical Quantization Conditions

1971 • 1,476 citations

Semiclassical approximations in wave mechanics

1972 • 1,351 citations

“Shells” in deformed nuclei

1968 • 1,065 citations

XIV. The distribution of electrons round impurities in monovalent metals

1952 • 1,021 citations

Semiclassical description of scattering

1959 • 758 citations

Phase-Integral Approximation in Momentum Space and the Bound States of an Atom

1967 • 730 citations

Distribution of eigenfrequencies for the wave equation in a finite domain

1970 • 712 citations

Distribution of eigenfrequencies for the wave equation in a finite domain: III. Eigenfrequency density oscillations

1972 • 652 citations

Quantum Density Oscillations in an Inhomogeneous Electron Gas

1965 • 595 citations

An Introduction to Phase-Integral Methods

1963 • 509 citations

Energy Spectrum According to Classical Mechanics

1970 • 461 citations

Time-Dependent Semiclassical Scattering Theory. II. Atomic Collisions

1969 • 418 citations

Time-Dependent Semiclassical Scattering Theory. I. Potential Scattering

1969 • 387 citations

Asymptotic solution of eigenvalue problems

1960 • 385 citations

Phase-Integral Approximation in Momentum Space and the Bound States of an Atom. II

1969 • 317 citations

A Path Integral for Spin

1968 • 312 citations

Distribution of eigenfrequencies for the wave equation in a finite domain. II. Electromagnetic field. Riemannian spaces

1971 • 290 citations

Theory of Semiclassical Transition Probabilities (S Matrix) for Inelastic and Reactive Collisions

1971 • 283 citations

Théorie des perturbations et méthodes asymptotiques

1972 • 241 citations

Field Theoretical Methods in Many-Body Systems

1967 • 237 citations

Quantum effects near a barrier maximum

1959 • 204 citations

Field Theoretical Methods in Many-Body Systems

1967 • 184 citations

Modes and quasimodes

1972 • 169 citations

The Physics of Metals—1. Electrons

1970 • 157 citations

Theory of the de Haas-van Alphen Effect in a System of Coupled Orbits. Application to Magnesium

1966 • 148 citations

Asymptotic evaluation of the Green's function for large quantum numbers

1971 • 140 citations

A critique of Zwaan-Stueckelberg phase integral techniques

1971 • 139 citations

Semiclassical theory of heavy ion reactions

1972 • 134 citations

Asymptotic Solution of the Dirac Equation

1963 • 126 citations

Exact and asymptotic solutions of the cauchy problem

1960 • 125 citations

Green's Function Method for Quantum Corrections to the Thomas-Fermi Model of the Atom

1961 • 83 citations

Curve-crossing and the WKB approximation

1971 • 74 citations

When is the 'sum over classical paths' exact?

1970 • 69 citations

Statistical Theory of Many-Electron Systems. General Considerations Pertaining to the Thomas-Fermi Theory

1957 • 68 citations

Path Integrals and Semiclassical Tunneling, Wavefunctions, and Energies

1972 • 67 citations

Semiclassical Approximation of Multidimensional Bound States

1972 • 65 citations

Statistical quasiparticles, effective green's functions, and Landau descriptions of quantum liquids I. Impurity Systems at Equilibrium

1971 • 64 citations

Classical-Limit Green's Function (Fixed-Energy Propagator) and Classical Quantization of Nonseparable Systems

1972 • 48 citations

Statistical Theory of Electronic Energies

1960 • 47 citations

Oscillations of the nuclear density

1970 • 29 citations

Correspondence identities IV. The Rutherford scattering identity

1969 • 24 citations

Correspondence identities II. The Bohr-Sommerfeld identity for the hydrogen atom

1968 • 23 citations

Développement asymptotique (WKB) d'une moyenne d'opérateur

1969 • 23 citations

Correspondence identities: I

1968 • 22 citations

Correspondence identities III. Classical paths and Rutherford scattering

1969 • 22 citations

Quasi-Classical Theory of Electron Correlations in Atoms

1962 • 17 citations

Nature of the Quantum Corrections to the Statistical Model

1963 • 16 citations

Classical Limit of Fredholm Theory for Elastic and Inelastic Scattering; Inability of Phase Space Integrals to Describe Inelastic Transitions

1972 • 8 citations

Correspondence identities. V. The zero-energy Coulomb problem

1971 • 6 citations

Relating the classical and quantal theories of angular momentum and spin

1972 • 4 citations

A note on angular momentum and sums over classical paths

1973 • 1 citations

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Solution of the Schrödinger equation in terms of classical paths (1974) – Annals of Physics | Metascience Observatory Explorer