Abstract
A systematic method enabling us to expand operator averages of many-body systems in terms of cluster integrals has been developed. The cluster integrals may be conveniently defined with the help of a diagram technique anologous to the one used in perturbation theory and the method proposed is suitable for applying both the time independent and the time dependent variational principles to many-particle systems involving singular interactions. The Pauli principle is naturally incorporated into the definition of the cluster integrals and this may lead to a rapid convergence of the expansions. The expressions obtained are, as in the Hartree-Fock case, invariant under unitary transformations in the subspaces of the occupied and of the unoccupied single particle states.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: 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.