Dirac Hamiltonian in a supersymmetric framework

@article{Bagchi2021DiracHI,
  title={Dirac Hamiltonian in a supersymmetric framework},
  author={Bijan Bagchi and Rahul Ghosh},
  journal={Journal of Mathematical Physics},
  year={2021}
}
We investigate the most general form of the one-dimensional Dirac Hamiltonian HD in the presence of scalar and pseudoscalar potentials. To seek embedding of supersymmetry (SUSY) in it, as an alternative procedure to directly employing the intertwining relations, we construct a quasi-Hamiltonian K, defined as the square of HD, to explore the consequences. We show that the diagonal elements of K under a suitable approximation reflects the presence of a superpotential thus proving a useful guide… 

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  • Rahul Ghosh
  • Physics
    Journal of Physics A: Mathematical and Theoretical
  • 2021
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