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Creation and annihilation operators and coherent states for the PT-symmetric oscillator

B. Bagchi·C. Quesne
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Abstract

We construct two commuting sets of creation and annihilation operators for the PT-symmetric oscillator. We then build coherent states of the latter as eigenstates of such annihilation operators by employing a modified version of the normalization integral that is relevant to PT-symmetric systems. We show that the coherent states are normalizable only in the range (0, 1) of the underlying coupling parameter $α$.

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B. Bagchi, C. Quesne. 2001-12-18. Creation and annihilation operators and coherent states for the PT-symmetric oscillator. https://doi.org/10.1142/s0217732301005916

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