Dirac Equation on the Torus and Rationally Extended Trigonometric\n Potentials within Supersymmetric QM

2017/07/19 by Özlem Yeşiltaş, Yeşiltaş, Özlem · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Mechanics and Non-Hermitian Physics #Quantum and Classical Electrodynamics

paper · pdf · doi:10.48550/arxiv.1707.06136

openalex publication_date 2017/07/19 · openalex created_date 2022/10/06 · openalex updated_date 2026/07/28

Abstract

The exact solutions of the (2+1) dimensional Dirac equation on the torus and\nthe new extension and generalization of the trigonometric Poschl-Teller\npotential families in terms of the torus parameters are obtained.\nSupersymmetric quantum mechanical techniques are used to get the extended\npotentials when the inner and outer radii of the torus are both equal and\ninequal. In addition, using the aspects of the Lie algebraic approaches, the\niso(2; 1) algebra is also applied to the system where we have arrived at the\nspectrum solutions of the extended potentials using the Casimir operator that\nmatches with the results of the exact solutions.\n

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