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Quantum Physics

Title: Superpotential for novel symmetry beyond shape invariance

Abstract: We propose a new "superpotential" and find that neither the supersymmetric energy conditions nor the associated shape invariance condition remain valid. On the other hand a new energy condition $E_{n}^{+}-E_{n}^{(-)}=2$ between the two partner Hamiltonian $H^{(\pm)}$ emerges. Mathematical proof supported the present findings with examples are presented. It is observed that, when the superpotential is associated with discontinuity or distortion, SUSY energy conditions and the shape invariance condition will no longer hold good.
Comments: There are a few mistakes occurred in this work
Subjects: Quantum Physics (quant-ph)
Cite as: arXiv:2206.00043 [quant-ph]
  (or arXiv:2206.00043v3 [quant-ph] for this version)

Submission history

From: Shi-Hai Dong [view email]
[v1] Sat, 28 May 2022 02:54:52 GMT (121kb)
[v2] Tue, 19 Jul 2022 00:29:58 GMT (0kb,I)
[v3] Wed, 16 Nov 2022 02:21:54 GMT (0kb,I)

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