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arxiv: 0706.3851 · v1 · submitted 2007-06-26 · 🪐 quant-ph

A General Scheme for Construction of Coherent States of Anharmonic Oscillators

classification 🪐 quant-ph
keywords coherentoscillatorsstatesanharmonicconstructionkratzer-fuesmorsescheme
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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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