Operator algebra for the many-body problem in the spin eigenfunction basis
- 15 August 1989
- journal article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 91 (4) , 2452-2456
- https://doi.org/10.1063/1.457004
Abstract
In the many-body perturbation theory and related methods equations involve sums over orbital indices. Reduction of the many-body equations to such a form is not trivial when spin eigenfunctions are used. A method to achieve such reduction, based on the algebraical properties of the unitary group generators, is described. As an example of application a formula for the second order MBPT with an arbitrary open shell reference state of the RHF type is derived.Keywords
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