Time-dependent Hartree-Fock theory and the Rayleigh-Ritz principle

Journal Article · Mon Dec 31 23:00:00 EST 1979 · Phys. Rev., C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.21.391· OSTI ID:5727043

Giraud, B G; Grammaticos, B; Rosina, M

The trial function Psi in the Rayleigh-Ritz variational principle, delta=0, is restricted to a continuous superposition of Slater determinants Phi (t), Psi=..integral..dt f (t) Phi (t). The variation delta is performed upon the path )Phi (t) ). It is found that time-dependent Hartree-Fock solutions Phi (t) are optimal choices for making the Rayleigh-Ritz functional stationary.

• Research Organization: Commisariat a l'Energie Atomique, Division de la Physique, Service de Physique Theorique, Centre d'Etudes Nucleaire de Saclay, Boite Postale No. 2, 91190 Gif-sur-Yvette, France
• OSTI ID: 5727043
• Journal Information: Phys. Rev., C; (United States), Journal Name: Phys. Rev., C; (United States) Vol. 21:1; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

653001* -- Nuclear Theory-- Nuclear Structure
Moments
Spin
& Models
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BOUND STATE
BOUNDARY CONDITIONS
CROSS SECTIONS
EIGENSTATES
FOURIER TRANSFORMATION
HAMILTONIANS
HARTREE-FOCK METHOD
INTEGRAL TRANSFORMATIONS
MANY-BODY PROBLEM
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATRIX ELEMENTS
NUCLEAR MODELS
NUCLEAR STRUCTURE
PARTICLE-HOLE MODEL
QUANTUM OPERATORS
RITZ METHOD
TIME DEPENDENCE
TRANSFORMATIONS
VARIATIONAL METHODS