English

Exactly solvable complex PT symmetry potential $A[\mathrm{sech}({\lambda}x) + i\tanh({\lambda}x)]$

Quantum Physics 2023-09-06 v2

Abstract

We obtained the exactly solutions of the PT\mathcal{PT} symmetric potential V(x)=A[\sech(λx)+itanh(λx)]V(x)=A[\sech(\lambda x)+i \tanh(\lambda x)], and found this system has no bound-state. which PT\mathcal{PT} symmetric potential was first studied in this article, and the handedness effect is showed from reflection coefficients. As the asymptotically non-vanishing imaginary potential component, when the direction of the incident wave is opposite, that the transmission coefficient will emerge a complex phase factor.

Keywords

Cite

@article{arxiv.2302.10609,
  title  = {Exactly solvable complex PT symmetry potential $A[\mathrm{sech}({\lambda}x) + i\tanh({\lambda}x)]$},
  author = {Wei Yang},
  journal= {arXiv preprint arXiv:2302.10609},
  year   = {2023}
}
R2 v1 2026-06-28T08:45:29.132Z