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International Journal of Modern Physics A

A COMPLETE AND ORTHONORMAL REPRESENTATION IN TWO-MODE FOCK SPACE GAINED BY TWO-VARIABLE HERMITE POLYNOMIALS

Hong-Yi Fan, HUI ZOU, Yue Fan

Published Jan 30, 2001• 5 citations
Publisher

Abstract

In terms of the two-variable Hermite polynomials' properties we derive the common eigenstates |q,λ> of two permutable operators (a†+b)(a+b†) and a†a-b†b, where q is discrete and λ is continuous. These states constitute a complete and orthonormal representation. Applications of the |q,λ> are discussed.
DOI
10.1142/s0217751x01002294

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