A POSSIBLE GENERALIZATION OF THE BARGMANN SPACE

Authors
Citation
Hy. Fan, A POSSIBLE GENERALIZATION OF THE BARGMANN SPACE, Communications in Theoretical Physics, 21(4), 1994, pp. 509-512
Citations number
8
Categorie Soggetti
Physics
ISSN journal
02536102
Volume
21
Issue
4
Year of publication
1994
Pages
509 - 512
Database
ISI
SICI code
0253-6102(1994)21:4<509:APGOTB>2.0.ZU;2-B
Abstract
By virtue of the technique of integration within an ordered product of operators we show that the ordinary Bargmann space basis function z(n )/square-root n! can be extended to two-variable Hermite polynomials, the latter can span a generalized Bargmann space. The corresponding tw o-mode Hermite polynomial states are thus introduced and their propert ies are investigated.