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“Basis” lie algebra of electronic fock space: Application to evaluation of matrix elements of spin tensor operators

Identifieur interne : 001314 ( Istex/Corpus ); précédent : 001313; suivant : 001315

“Basis” lie algebra of electronic fock space: Application to evaluation of matrix elements of spin tensor operators

Auteurs : A. I. Panin

Source :

RBID : ISTEX:5CDA1D4FE311F4774D0AE04974FD90D2DA289E12

English descriptors

Abstract

A new set of generators of the operator algebra over the electronic Fock space is introduced. It is shown that with this set of generators the “basis” Lie algebra can be associated and that the operator algebra of the Fock space is the homomorphic image of the corresponding universal enveloping algebra. The algebraic structure revealed is used for deriving the reduction formulas for the elements of the simplest spin tensor operators between the Gelfand states.

Url:
DOI: 10.1002/qua.560270502

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ISTEX:5CDA1D4FE311F4774D0AE04974FD90D2DA289E12

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<p>A new set of generators of the operator algebra over the electronic Fock space is introduced. It is shown that with this set of generators the “basis” Lie algebra can be associated and that the operator algebra of the Fock space is the homomorphic image of the corresponding universal enveloping algebra. The algebraic structure revealed is used for deriving the reduction formulas for the elements of the simplest spin tensor operators between the Gelfand states.</p>
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