Trapped Particles in $PT$ Symmetric Theories

C. Yuce; A. Kurt; A. Kucukaslan

Trapped Particles in $PT$ Symmetric Theories

Quantum Physics 2007-05-23 v1

Authors: C. Yuce , A. Kurt , A. Kucukaslan

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.

Keywords

pt-symmetry non-hermitian quantum mechanics quantum mechanics potentials

Cite

@article{arxiv.quant-ph/0602103,
  title  = {Trapped Particles in $PT$ Symmetric Theories},
  author = {C. Yuce and A. Kurt and A. Kucukaslan},
  journal= {arXiv preprint arXiv:quant-ph/0602103},
  year   = {2007}
}

Comments

10 pages

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