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arXiv · 2308.05917

A Class of Exactly Solvable Real and Complex $PT$ Symmetric Reflectionless Potentials

Suman Banerjee·Rajesh Kumar Yadav·Avinash Khare·Bhabani Prasad Mandal
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Abstract

We consider the question of the number of exactly solvable complex but PT-invariant reflectionless potentials with $N$ bound states. By carefully considering the $X_m$ rationally extended reflectionless potentials, we argue that the total number of exactly solvable complex PT-invariant reflectionless potentials are $2[(2N-1)m+N]$.

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Suman Banerjee, Rajesh Kumar Yadav, Avinash Khare, Bhabani Prasad Mandal. 2023-08-11. A Class of Exactly Solvable Real and Complex $PT$ Symmetric Reflectionless Potentials. https://arxiv.org/abs/2308.05917

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