Deformed squeezed states in noncommutative phase space
Mathematical Physics
2009-04-03 v1 High Energy Physics - Theory
math.MP
Abstract
A deformed boson algebra is naturally introduced from studying quantum mechanics on noncommutative phase space in which both positions and momenta are noncommuting each other. Based on this algebra, corresponding intrinsic noncommutative coherent and squeezed state representations are constructed, and variances of single- and two-mode quadrature operators on these states are evaluated. The result indicates that in order to maintain Heisenberg's uncertainty relations, a restriction between the noncommutative parameters is required.
Cite
@article{arxiv.0902.3774,
title = {Deformed squeezed states in noncommutative phase space},
author = {Bing-Sheng Lin and Si-Cong Jing},
journal= {arXiv preprint arXiv:0902.3774},
year = {2009}
}