A SIMPLE DIFFERENCE REALIZATION OF THE HEISENBERG Q-ALGEBRA

Authors
ATAKISHIYEV NM FRANK A WOLF KB
Citation
Nm. Atakishiyev et al., A SIMPLE DIFFERENCE REALIZATION OF THE HEISENBERG Q-ALGEBRA, Journal of mathematical physics, 35(7), 1994, pp. 3253-3260
Citations number
18
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of mathematical physics → ACNP
ISSN journal
00222488
Volume
35
Issue
7
Year of publication
1994
Pages
3253 - 3260
Database
ISI
SICI code
0022-2488(1994)35:7<3253:ASDROT>2.0.ZU;2-6
Abstract
A realization of the Heisenberg q-algebra whose generators are first-o rder difference operators on the full real line is discussed herein. T he eigenfunctions of the corresponding q-oscillator Hamiltonian are gi ven explicitly in terms of the q-1-Hermite polynomials. The nonuniquen ess of the measure for these q-oscillator states is also studied.