Creation and Annihilation Operators and Coherent States for the Pt-symmetric Oscillator
نویسنده
چکیده
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. Running head: PT-Symmetric Oscillator PACS: 03.65.Bz, 03.65.Fd
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