Unitary group decomposition of Hamiltonian operators. I. Structure and sizes in the Hartree-Fock basis

Journal Article · Fri Jun 01 00:00:00 EDT 1979 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(79)90188-X· OSTI ID:5937868

Satyan, V; Parikh, J C

The extent to which the Hartree-Fock (HF) procedure converts a two-body interaction into an effective one-body operator has been studied. For this purpose, the nuclear Hamiltonian is classified according to its tensor properties under the unitary group U (N) and its direct-sum subgroup U (m)+U (N-m) generated by the Hartree-Fock procedure. Here N is the total number of HF single particle states of which m are occupied. The sizes of different tensor parts in m-particle spaces have been determined for both U (N) and U (m)+U (N-m). In terms of these sizes a ratio is defined which provides a measure of the conversion efficiency of HF and a global measure of the goodness of HF s.p. basis. This ratio is evaluated for N=Z even-even nuclei in 0d--1s shell and 0f--1p shell using realistic Hamiltonian operators.

• Research Organization: Physical Research Laboratory, Navrangpura, Ahmedabad 380009, India
• OSTI ID: 5937868
• Journal Information: Ann. Phys. (N.Y.); (United States), Vol. 119:2
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
HARTREE-FOCK METHOD
UNITARY SYMMETRY
SHELL MODELS
HAMILTONIANS
TWO-BODY PROBLEM
SINGLE-PARTICLE MODEL
TENSORS
U GROUPS
LIE GROUPS
MANY-BODY PROBLEM
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
NUCLEAR MODELS
QUANTUM OPERATORS
SYMMETRY
SYMMETRY GROUPS
653007* - Nuclear Theory- Nuclear Models- (-1987)