English

CPT-symmetric discrete square well

Quantum Physics 2011-07-13 v1 High Energy Physics - Theory

Abstract

A new version of an elementary PT-symmetric square well quantum model is proposed in which a certain Hermiticity-violating end-point interaction leaves the spectrum real in a large domain of couplings λ(1,1)\lambda\in (-1,1). Within this interval we employ the usual coupling-independent operator P of parity and construct, in a systematic Runge-Kutta discrete approximation, a coupling-dependent operator of charge C which enables us to classify our P-asymmetric model as CPT-symmetric or, equivalently, hiddenly Hermitian alias cryptohermitian.

Keywords

Cite

@article{arxiv.1011.4806,
  title  = {CPT-symmetric discrete square well},
  author = {Miloslav Znojil and Miloš Tater},
  journal= {arXiv preprint arXiv:1011.4806},
  year   = {2011}
}

Comments

12 pp., presented to conference PHHQP IX (http://www.math.zju.edu.cn/wjd/)

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