Coherent states for Smorodinsky-Winternitz potentials |
| |
Authors: | Nuri ünal |
| |
Institution: | (1) Department of Physics, Akdeniz University, PK 510, Antalya, 07058, Turkey |
| |
Abstract: | In this study, we construct the coherent states for a particle in the Smorodinsky-Winternitz potentials, which are the generalizations
of the two-dimensional harmonic oscillator problem. In the first case, we find the non-spreading wave packets by transforming
the system into four oscillators in Cartesian, and also polar, coordinates. In the second case, the coherent states are constructed
in Cartesian coordinates by transforming the system into three non-isotropic harmonic oscillators. All of these states evolve
in physical-time. We also show that in parametric-time, the second case can be transformed to the first one with vanishing
eigenvalues.
|
| |
Keywords: | coherent states path integrals deformed harmonic oscillators |
本文献已被 SpringerLink 等数据库收录! |
|