A General Scheme for Construction of Coherent States of Anharmonic Oscillators

2007/06/26 by Marcin Molski, Molski, Marcin
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.0706.3851

5 pages. Submitted to Physical Review Letters

arxiv created 2007/06/26 · arxiv updated 2009/12/01

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 Schrödinger equation in the supersymmetric form amenable to direct solution in the SUSYQM scheme.

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