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 , defined as the square of HD, to explore the consequences. We show that the diagonal elements of under a suitable approximation reflect the presence of a superpotential, thus proving a useful guide in unveiling the role of SUSY. For illustrative purposes, we apply our scheme to the transformed one-dimensional version of the planar electron Hamiltonian under the influence of a magnetic field. We generate spectral solutions for a class of isochronous potentials.
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July 2021
Research Article|
July 08 2021
Dirac Hamiltonian in a supersymmetric framework Available to Purchase
Bijan Bagchi
;
Bijan Bagchi
a)
Physics Department, Shiv Nadar University
, Gautam Buddha Nagar, Uttar Pradesh 201314, India
a)Author to whom correspondence should be addressed: [email protected]
Search for other works by this author on:
Rahul Ghosh
Rahul Ghosh
b)
Physics Department, Shiv Nadar University
, Gautam Buddha Nagar, Uttar Pradesh 201314, India
Search for other works by this author on:
Bijan Bagchi
a)
Physics Department, Shiv Nadar University
, Gautam Buddha Nagar, Uttar Pradesh 201314, India
Rahul Ghosh
b)
Physics Department, Shiv Nadar University
, Gautam Buddha Nagar, Uttar Pradesh 201314, India
a)Author to whom correspondence should be addressed: [email protected]
b)
E-mail: [email protected]
J. Math. Phys. 62, 072101 (2021)
Article history
Received:
January 11 2021
Accepted:
June 21 2021
Citation
Bijan Bagchi, Rahul Ghosh; Dirac Hamiltonian in a supersymmetric framework. J. Math. Phys. 1 July 2021; 62 (7): 072101. https://doi.org/10.1063/5.0043854
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