Junker G (2025)
Publication Type: Journal article
Publication year: 2025
Book Volume: 66
Article Number: 20
Issue: 2
DOI: 10.1007/s00601-025-01994-w
It is shown that the quantum Hamiltonian characterising a non-relativistic electron under the influence of an external spherical symmetric electromagnetic potential exhibits a supersymmetric structure. Both cases, spherical symmetric scalar potentials and spherical symmetric vector potentials are discussed in detail. The current approach, which includes the spin-
degree of freedom, provides new insights to known models like the radial harmonic oscillator and the Coulomb problem. We also find a few new exactly solvable models, one of them exhibiting a new mixed type of shape invariance containing translation and scaling of potential parameters. The fundamental role as Witten parity played by the spin-orbit operator is high-lighted.
APA:
Junker, G. (2025). On the SUSY Structure of Spherically Symmetric Pauli Hamiltonians. Few-Body Systems, 66. https://doi.org/10.1007/s00601-025-01994-w
MLA:
Junker, Georg. "On the SUSY Structure of Spherically Symmetric Pauli Hamiltonians." Few-Body Systems 66 (2025).
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