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

arXiv
Authors: Suman Banerjee, Rajesh Kumar Yadav, Avinash Khare, Bhabani Prasad Mandal

Year

2023

Paper ID

55884

Status

Preprint

Abstract Read

~2 min

Abstract Words

46

Citations

N/A

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 Xm 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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  • We consider the question of the number of exactly solvable complex but PT-invariant reflectionless potentials with N bound states.

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