Time-dependent localized Hartree-Fock potential

Abstract

By minimizing the difference between the left- and the right-hand sides of the many-body time-dependent Schrödinger equation with the Slater-determinant wave-function, we derive a non-adiabatic and self-interaction free time-dependent single-particle effective potential which is the generalization to the time-dependent case of the localized Hartree-Fock potential. The new potential can be efficiently used within the framework of the time-dependent density-functional theory as we demonstrate by the evaluation of the wave-vector and frequency dependent exchange kernel $f_x(q,\omega )$ and the exchange shear modulus ${\mu }_x$ of the homogeneous electron gas.

7 pages, 3 figures, 1 table

References in corpus (4)

• Analytic structure factors and pair-correlation functions for the unpolarized homogeneous electron gas
• The Elasticity of an Electron Liquid
• Exact dynamical exchange-correlation kernel of a weakly inhomogeneous electron gas
• Anti-adiabatic limit of the exchange-correlation kernels of an inhomogeneous electron gas

Cited by in corpus (7)

• Exact "exact exchange" potential of two- and one-dimensional electron gases beyond the asymptotic limit
• Derivative discontinuity with localized Hartree-Fock potential
• Quasi-low-dimensional electron gas with one populated band as a testing ground for time-dependent density-functional theory
• A quark core-gluon model for heavy hybrid baryons
• Exchange kernel $f_x^h(q,\omega )$ of electron liquid from the variational principle of McLachlan
• Diquark size effects in the quark-diquark approximation for baryons
• Many-body interactions in the dielectric theory of stopping power of solids for classical and quantum projectiles