Communications in Theoretical Physics

Some q -Deformed Combinat orial Identities and Their Applications

Sicong Jing, Hong-Yi Fan

Published Dec 1, 1993• 0 citations

Abstract

A q -deformed binomial theorem is firstly presented in this work. Some operator identities in q -deformed two-mode Fock space are derived by virtue of the q -binomial theorem. As an application of these identities, we prove a new completeness relation for the q -analogue of the single-complex-variable-state in the two-mode Fock space.

DOI: 10.1088/0253-6102/20/4/471

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