A class of exactly solvable real and complex PT symmetric reflectionless potentials

A class of exactly solvable real and complex PT symmetric reflectionless potentials

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 pot...

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Veröffentlicht in:Journal of mathematical physics 2024-03, Vol.65 (3)
Hauptverfasser: Banerjee, Suman, Yadav, Rajesh Kumar, Khare, Avinash, Mandal, Bhabani Prasad
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Sprache:eng
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Zusammenfassung: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].
ISSN:0022-2488
1089-7658
DOI:10.1063/5.0174810