Creation and annihilation operators and coherent states for the PT-symmetric oscillator
Quantum Physics
2009-11-07 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
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 .
Keywords
Cite
@article{arxiv.quant-ph/0110133,
title = {Creation and annihilation operators and coherent states for the PT-symmetric oscillator},
author = {B. Bagchi and C. Quesne},
journal= {arXiv preprint arXiv:quant-ph/0110133},
year = {2009}
}
Comments
one additional reference, final version to be published in MPLA