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Variational derivation of a time-dependent Hartree-Fock Hamiltonian

Journal Article · · Phys. Rev., C; (United States)
The variational derivation of the time-dependent Hartree-Fock equation is reviewed. When norm-violating variations are included, a unique time-dependent Hartree-Fock Hamiltonian, which differs from that customarily used in time-dependent Hartree-Fock analyses, is implied. This variationally ''true'' Hartree-Fock Hamiltonian has the same expectation value as the exact Hamiltonian, equal to the average energy of the system. Since this quantity remains constant under time-dependent Hartree-Fock time evolution, we suggest the label ''constant '' for this form of time-dependent Hartree-Fock theory.
Research Organization:
Department of Physics and Astronomy, University of Maryland, College Park, Maryland 20742
OSTI ID:
6124593
Journal Information:
Phys. Rev., C; (United States), Journal Name: Phys. Rev., C; (United States) Vol. 20:2; ISSN PRVCA
Country of Publication:
United States
Language:
English