arXiv:quant-ph/0110133 · Modern Physics Letters A

CREATION AND ANNIHILATION OPERATORS AND COHERENT STATES FOR THE PT-SYMMETRIC OSCILLATOR

Bijan Kumar Bagchi, C. Quesne

Published Dec 14, 2001• 20 citations

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.

DOI: 10.1142/s0217732301005916

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