Pseudo-Hermitian potential models with PT symmetry

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Abstract

Complexfying a five-parameter exponential-type potential with shape invariance, we obtain the generalized complex versions of the Rosen-Morse well, Scarf, Eckart and the generalized Pöschl-Teller potentials. It has been shown that theses generalized complex versions are P-pseudo-Hermitian and PT-symmetric. For the former two complex potentials, the parity operator P acts on the position operator as P×P-1 1 1nq/α - x, and P acts as P×P-1 = -x for the latter two complex potentials. © 2002 Elsevier Science B.V. All rights reserved.

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Jia, C. S., Li, S. C., Li, Y., & Sun, L. T. (2002). Pseudo-Hermitian potential models with PT symmetry. Physics Letters, Section A: General, Atomic and Solid State Physics, 300(2–3), 115–121. https://doi.org/10.1016/S0375-9601(02)00826-5

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