Abstract
The convergence properties of approximate one-particle Green's functions derived from separable potential expansions are examined. A convergence criterion for the basis set to be used in a Lowdin-type inner projection is established and illustrated by calculations of matrix elements of the Coulomb Green's function based on separable potentials of finite rank. It is then suggested that a separable potential ansatz for a many-electron wave function may be introduced into Frenkel's time-dependent variation principle in order to obtain approximate response functions with the continuum of one-particle states explicitly included. A preliminary outline of the formalism at the time-dependent Hartree-Fock level is presented.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
