Coherent states for polynomial su(1,1) algebra and a conditionally solvable system
Mathematical Physics
2012-05-22 v1 math.MP
Quantum Physics
Abstract
In a previous paper [{\it J. Phys. A: Math. Theor.} {\bf 40} (2007) 11105], we constructed a class of coherent states for a polynomially deformed algebra. In this paper, we first prepare the discrete representations of the nonlinearly deformed algebra. Then we extend the previous procedure to construct a discrete class of coherent states for a polynomial su(1,1) algebra which contains the Barut-Girardello set and the Perelomov set of the SU(1,1) coherent states as special cases. We also construct coherent states for the cubic algebra related to the conditionally solvable radial oscillator problem.
Keywords
Cite
@article{arxiv.1205.4401,
title = {Coherent states for polynomial su(1,1) algebra and a conditionally solvable system},
author = {Muhammad Sadiq and Akira Inomata and Georg Junker},
journal= {arXiv preprint arXiv:1205.4401},
year = {2012}
}
Comments
2 figures