Coherent States and a Path Integral for the Relativistic Linear Singular Oscillator
Mathematical Physics
2008-06-28 v1 Dynamical Systems
math.MP
Abstract
The SU(1,1) coherent states for a relativistic model of the linear singular oscillator are considered. The corresponding partition function is evaluated. The path integral for the transition amplitude between SU(1,1) coherent states is given. Classical equations of the motion in the generalized curved phase space are obtained. It is shown that the use of quasiclassical Bohr-Sommerfeld quantization rule yields the exact expression for the energy spectrum.
Cite
@article{arxiv.math-ph/0702003,
title = {Coherent States and a Path Integral for the Relativistic Linear Singular Oscillator},
author = {S. M. Nagiyev and E. I. Jafarov and M. Y. Efendiyev},
journal= {arXiv preprint arXiv:math-ph/0702003},
year = {2008}
}
Comments
14 pages, 2 figures, Uses RevTeX4 style