vix.ing · top · new · best · stats · spec

Exactly solvable complex PT symmetry potential A[sech(λx) + i\tanh(λx)]

2023/02/21 by Wei Yang, Yang, Wei
Physics and Astronomy · #Quantum Mechanics and Non-Hermitian Physics

paper · pdf · doi:10.48550/arxiv.2302.10609

Abstract

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

Related