CPT-symmetric discrete square well

Details CPT-symmetric discrete square well CPT-symmetric discrete square well

2010-11-22

arxiv.org/abs/1011.4806v1

Int.J.Theor.Phys.50:982-990,2011

Physics

Quantum Physics

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

Scientific paper

10.1007/s10773-010-0591-z

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 $\lambda\in (-1,1)$. 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.

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