Gauge properties of the Hartree-Fock and random-phase approximations

Journal Article · Mon Aug 01 04:00:00 EDT 1977 · Phys. Rev., A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.16.600· OSTI ID:7094048

Lin, D L

Gauge properties of electromagnetic and matter fields in atomic theories are discussed. It is shown that the equality of oscillator strengths in length and velocity forms and the sum rule in the random-phase approximation are direct consequences of perserving gauge invariance in its transition amplitude. The Hartree-Fock Hamiltonian is shown to violate gauge invariance, and hence produces unequal oscillator strengths for length and velocity forms.

• Research Organization: Department of Physics, The Johns Hopkins University, Baltimore, Maryland 21218
• OSTI ID: 7094048
• Journal Information: Phys. Rev., A; (United States), Journal Name: Phys. Rev., A; (United States) Vol. 16:2; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

640305* -- Atomic
Molecular & Chemical Physics-- Atomic & Molecular Theory-- (-1987)
74 ATOMIC AND MOLECULAR PHYSICS
ATOMIC MODELS
ATOMS
GAUGE INVARIANCE
HAMILTONIANS
HARTREE-FOCK METHOD
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
OSCILLATOR STRENGTHS
QUANTUM OPERATORS
RANDOM PHASE APPROXIMATION