A General Scheme for Construction of Coherent States of Anharmonic Oscillators
Quantum Physics
2007-06-27 v1
Abstract
A mixed supersymmetric-algebraic approach to construction of the minimum uncertainty coherent states of anharmonic oscillators is presented. It permits generating not only the well-known coherent states of the harmonic and Morse oscillators but also the so far unknown coherent states of the Wei Hua, Kratzer-Fues and generalized Morse and Kratzer-Fues oscillators. The method can be applied also to generate superpotentials indispensable for deriving the Schr\"odinger equation in the supersymmetric form amenable to direct solution in the SUSYQM scheme.
Keywords
Cite
@article{arxiv.0706.3851,
title = {A General Scheme for Construction of Coherent States of Anharmonic Oscillators},
author = {Marcin Molski},
journal= {arXiv preprint arXiv:0706.3851},
year = {2007}
}
Comments
5 pages. Submitted to Physical Review Letters