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Trapped Particles in $PT$ Symmetric Theories

C. Yuce·A. Kurt·A. Kucukaslan
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Abstract

$PT$ symmetric quantum mechanics for a particle trapped by the generalized non-Hermitian harmonic oscillator potential is studied. It is shown that energy and the expectation value of the position operator $x$ can not be real simultaneously, if the particle is trapped. Non-vanishing boundary conditions for the trapped particle in $PT$ symmetric theory are also discussed.

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C. Yuce, A. Kurt, A. Kucukaslan. 2006-02-13. Trapped Particles in $PT$ Symmetric Theories. https://arxiv.org/abs/quant-ph/0602103

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