Time-dependent Hartree-Fock theory and the Rayleigh-Ritz principle
BERTRAND G. GIRAUD, Basil Grammaticos, Mitja Rosina · Physical Review C · 1980
The trial function $\ensuremath{\Psi}$ in the Rayleigh-Ritz variational principle, $\ensuremath{\delta}〈\ensuremath{\Psi}|(H\ensuremath{-}E)|\ensuremath{\Psi}〉=0$, is restricted to a continuous superposition of Slater determinants $\ensuremath{\Phi}(t)$, $\ensuremath{\Psi}=\ensuremath{\int}\mathrm{dtf}(t)\ensuremath{\Phi}(t)$. The variation $\ensuremath{\delta}$ is performed upon the path {$\ensuremath{\Phi}(t)$}. It is found that time-dependent Hartree-Fock solutions $\ensuremath{\Phi}(t)$ are optimal choices for making the Rayleigh-Ritz functional stationary.NUCLEAR STRUCTURE TDHF paths best choices for generator coordinate method with Rayleigh-Ritz functional.