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

Wei Yang

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arXiv · 2302.10609

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

Wei Yang

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Abstract

We obtained the exactly solutions of the $\mathcal{PT}$ symmetric potential $V(x)=A[\sech(\lambda x)+i \tanh(\lambda x)]$, and found this system has no bound-state. which $\mathcal{PT}$ 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.

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Wei Yang. 2023-02-21. Exactly solvable complex PT symmetry potential $A[\mathrm{sech}({\lambda}x) + i\tanh({\lambda}x)]$. https://arxiv.org/abs/2302.10609

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