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arXiv · 1906.05424

Invariance of Witten's quantum mechanics under point canonical transformations

Gabriel Gonzalez
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Abstract

We show that the supersymmetric algebra of Witten's quantum mechanics is invariant under a given point canonical transformation. It is shown that Witten's supersymmetric quantum mechanics can be isospectral or not to the seed Hamiltonian depending on the space coordinate you work on. We illustrate our results by generating a new class of exactly solvable supersymmetric partner Hamiltonians which are not isospectral to the seed Hamiltonian.

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Gabriel Gonzalez. 2019-06-12. Invariance of Witten's quantum mechanics under point canonical transformations. https://arxiv.org/abs/1906.05424

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