COHERENT STATES FOR THE QUANTUM COMPLEX-PLANE

Authors
KOWALSKI K REMBIELINSKI J
Citation
K. Kowalski et J. Rembielinski, COHERENT STATES FOR THE QUANTUM COMPLEX-PLANE, Journal of mathematical physics, 34(6), 1993, pp. 2153-2165
Citations number
20
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of mathematical physics → ACNP
ISSN journal
00222488
Volume
34
Issue
6
Year of publication
1993
Pages
2153 - 2165
Database
ISI
SICI code
0022-2488(1993)34:6<2153:CSFTQC>2.0.ZU;2-J
Abstract
The coherent states for the quantum complex plane are introduced. It i s demonstrated that the Bargmann representation corresponding to these states involves both the standard integral with respect to the Gaussi an measure and the Berezin integral over Grassmann variables. The quan tum generalizations of many constructions developed for classical cohe rent states are described.