On the Hartree–Fock scheme for a pair of adjoint operators
- 1 January 1983
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 24 (1) , 88-96
- https://doi.org/10.1063/1.525605
Abstract
A generalization of the Hartree–Fock scheme for an arbitrary linear operator—and its adjoint—is derived by using the bivariational principle. It is shown that, if the system operator in the transition value is approximated by two Slater determinants, it is determined by a projector ρ, which corresponds to a generalization of the conventional Fock–Dirac density matrix, but which is no longer self-adjoint. The effective one-particle operator then takes the same form as in the conventional theory. The solution of the stability problem for a pair of adjoint effective operators is finally discussed. Numerical applications are performed elsewhere.Keywords
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