Antisymmetrization of a mean-field theory of collisions
- 1 August 1986
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 34 (2) , 1034-1042
- https://doi.org/10.1103/physreva.34.1034
Abstract
For a system of N fermions with Hamiltonian scrH we evaluate matrix elements of the T matrix between arbitrary Slater determinants ‖χ〉,‖χ’〉. The resulting variational equations are driven Hartree-Fock-like equations, with source terms as right-hand sides, due to the ‘‘channels’’ ‖χ〉,‖χ’〉. The validity of this mean-field approximation is illustrated by a numerical example.Keywords
This publication has 7 references indexed in Scilit:
- Time-independent mean-field description of collisions: An exactly soluble modelNuclear Physics A, 1985
- Variational principles for exclusive and inclusive cross sectionsPhysical Review C, 1984
- Time-independent mean field description of collisionsAnnals of Physics, 1984
- Reaction theory for a nonlinear dynamics: The
S -matrix time-dependent Hartree-Fock theoryPhysics Letters B, 1980 - A symmetric theory of collisionsJournal de Physique, 1980
- One-dimensional nuclear dynamics in the time-dependent Hartree-Fock approximationPhysical Review C, 1976
- A generator coordinate theory of nuclear reactionsAnnals of Physics, 1975