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Communications in Theoretical Physics

A Possible Generalization of the Bargmann Space

Hong-Yi Fan

Published Jun 15, 1994• 3 citations
Publisher

Abstract

By virtue of the technique of integration within an ordered product of operators we show that the ordinary Bargmann space basis function can be extended to two-variable Hermite polynomials, the latter can span a generalized Bargmann space. The corresponding two-mode Hermite polynomial states are thus introduced and their properties are investigated.

DOI
10.1088/0253-6102/21/4/509

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By virtue of the technique of integration within an ordered product of operators we show that the ordinary Bargmann space basis function can be extended to two-variable Hermite polynomials, the latter can span a generalized Bargmann space. The corresponding two-mode Hermite polynomial states are thus introduced and their properties are investigated.
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