Matches in SemOpenAlex for { <https://semopenalex.org/work/W4232365175> ?p ?o ?g. }
Showing items 1 to 72 of
72
with 100 items per page.
- W4232365175 endingPage "1020" @default.
- W4232365175 startingPage "1004" @default.
- W4232365175 abstract "The phase-integral approximation of the Green's function in momentum space is investigated for a particle of negative energy (bound state) which moves in a spherically symmetric potential. If this potential has a Coulomb-like singularity at the origin, it is shown that any two momenta can be connected by an infinity of classical trajectories with a fixed energy. The summation of the usual phase and amplitude factors over these trajectories is the approximate Green's function. If there is orbital precession, there are not only poles along the negative energy axis, but also weaker singularities which are not examined in detail. The poles are found at the energies which are given by the semiclassical quantum conditions: angular momentum = (l + ½)ℏ and action integral for the radial motion = (n + ½)2πℏ, where l and n are integers ≥ 0. The residues at these poles give the approximate bound-state wavefunctions as a product of the asymptotic formula for Legendre polynomials with the asymptotic solution of the radial Schrödinger equation. It is conjectured that the occurrence of poles in the approximate Green's function is a direct consequence of the periodic character of the classical motion." @default.
- W4232365175 created "2022-05-12" @default.
- W4232365175 creator A5021866115 @default.
- W4232365175 date "1969-06-01" @default.
- W4232365175 modified "2023-09-26" @default.
- W4232365175 title "Phase-Integral Approximation in Momentum Space and the Bound States of an Atom. II" @default.
- W4232365175 cites W1982220848 @default.
- W4232365175 doi "https://doi.org/10.1063/1.1664927" @default.
- W4232365175 hasPublicationYear "1969" @default.
- W4232365175 type Work @default.
- W4232365175 citedByCount "290" @default.
- W4232365175 countsByYear W42323651752012 @default.
- W4232365175 countsByYear W42323651752014 @default.
- W4232365175 countsByYear W42323651752015 @default.
- W4232365175 countsByYear W42323651752016 @default.
- W4232365175 countsByYear W42323651752017 @default.
- W4232365175 countsByYear W42323651752018 @default.
- W4232365175 countsByYear W42323651752019 @default.
- W4232365175 countsByYear W42323651752020 @default.
- W4232365175 countsByYear W42323651752021 @default.
- W4232365175 countsByYear W42323651752022 @default.
- W4232365175 countsByYear W42323651752023 @default.
- W4232365175 crossrefType "journal-article" @default.
- W4232365175 hasAuthorship W4232365175A5021866115 @default.
- W4232365175 hasConcept C113603373 @default.
- W4232365175 hasConcept C121332964 @default.
- W4232365175 hasConcept C134306372 @default.
- W4232365175 hasConcept C151342819 @default.
- W4232365175 hasConcept C155675718 @default.
- W4232365175 hasConcept C16171025 @default.
- W4232365175 hasConcept C174084160 @default.
- W4232365175 hasConcept C33923547 @default.
- W4232365175 hasConcept C37914503 @default.
- W4232365175 hasConcept C535169671 @default.
- W4232365175 hasConcept C62520636 @default.
- W4232365175 hasConcept C63036615 @default.
- W4232365175 hasConcept C74650414 @default.
- W4232365175 hasConcept C84114770 @default.
- W4232365175 hasConceptScore W4232365175C113603373 @default.
- W4232365175 hasConceptScore W4232365175C121332964 @default.
- W4232365175 hasConceptScore W4232365175C134306372 @default.
- W4232365175 hasConceptScore W4232365175C151342819 @default.
- W4232365175 hasConceptScore W4232365175C155675718 @default.
- W4232365175 hasConceptScore W4232365175C16171025 @default.
- W4232365175 hasConceptScore W4232365175C174084160 @default.
- W4232365175 hasConceptScore W4232365175C33923547 @default.
- W4232365175 hasConceptScore W4232365175C37914503 @default.
- W4232365175 hasConceptScore W4232365175C535169671 @default.
- W4232365175 hasConceptScore W4232365175C62520636 @default.
- W4232365175 hasConceptScore W4232365175C63036615 @default.
- W4232365175 hasConceptScore W4232365175C74650414 @default.
- W4232365175 hasConceptScore W4232365175C84114770 @default.
- W4232365175 hasIssue "6" @default.
- W4232365175 hasLocation W42323651751 @default.
- W4232365175 hasOpenAccess W4232365175 @default.
- W4232365175 hasPrimaryLocation W42323651751 @default.
- W4232365175 hasRelatedWork W1983538274 @default.
- W4232365175 hasRelatedWork W2028438711 @default.
- W4232365175 hasRelatedWork W2038641923 @default.
- W4232365175 hasRelatedWork W2055323178 @default.
- W4232365175 hasRelatedWork W2058265053 @default.
- W4232365175 hasRelatedWork W2065406243 @default.
- W4232365175 hasRelatedWork W2068894576 @default.
- W4232365175 hasRelatedWork W2081361946 @default.
- W4232365175 hasRelatedWork W2087533972 @default.
- W4232365175 hasRelatedWork W2952426766 @default.
- W4232365175 hasVolume "10" @default.
- W4232365175 isParatext "false" @default.
- W4232365175 isRetracted "false" @default.
- W4232365175 workType "article" @default.