A General Scheme for Construction of Coherent States of Anharmonic Oscillators

Details A General Scheme for Construction of Coherent States of Anharmonic Oscillators A General Scheme for Construction of Coherent States of Anharmonic Oscillators

2007-06-26

arxiv.org/abs/0706.3851v1

Physics

Quantum Physics

5 pages. Submitted to Physical Review Letters

Scientific paper

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.

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