• Corpus ID: 189762415

Invariance of Witten's quantum mechanics under point canonical transformations

@article{Gonzlez2019InvarianceOW,
  title={Invariance of Witten's quantum mechanics under point canonical transformations},
  author={Gabriela I. Gonz{\'a}lez},
  journal={arXiv: Mathematical Physics},
  year={2019}
}
  • G. González
  • Published 12 June 2019
  • Physics
  • arXiv: Mathematical Physics
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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