Semiclassical calculation of matrix elements

Journal Article · Wed May 01 04:00:00 EDT 1991 · Annals of Physics (New York); (United States)

DOI:https://doi.org/10.1016/0003-4916(91)90060-L· OSTI ID:5524708

More, R M; Warren, K H ^[1]

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1. Lawrence Livermore National Lab., CA (United States)

A new semiclassical method for calculation of one-electron matrix elements is tested by comparison with exact results on nonrelativistic quantum mechanics. The method is found to be good to 10% for a variety of cases including dipole matrix elements for bound-bound (line) and photoelectric transitions of electrons in hydrogenic and non-hydrogenic atomic potentials. When applied to radiative transitions, the method gives a vivid initiative picture and provides a more precise understanding of the relation between quantum and classical results.

• OSTI ID: 5524708
• Journal Information: Annals of Physics (New York); (United States), Journal Name: Annals of Physics (New York); (United States) Vol. 207:2; ISSN 0003-4916; ISSN APNYA
• Country of Publication: United States
• Language: English

Related Subjects

664100* -- Theory of Electronic Structure of Atoms & Molecules-- (1992-)
74 ATOMIC AND MOLECULAR PHYSICS
ATOMS
COMPARATIVE EVALUATIONS
COULOMB FIELD
ELECTRIC FIELDS
ELECTRONIC EQUIPMENT
ELECTRONIC STRUCTURE
ELEMENTS
ENERGY LEVELS
ENERGY-LEVEL TRANSITIONS
EQUIPMENT
EVALUATION
EXCITED STATES
FUNCTIONS
HARMONIC OSCILLATORS
HYDROGEN
MATRIX ELEMENTS
MECHANICS
NONMETALS
OSCILLATORS
POTENTIALS
QUANTUM MECHANICS
RYDBERG STATES
SEMICLASSICAL APPROXIMATION
WAVE FUNCTIONS
WKB APPROXIMATION