Dirac equation on the torus and rationally extended trigonometric potentials within supersymmetric QM

DOI10.1155/2018/6891402zbMath1396.81089arXiv1707.06136OpenAlexW2963554126MaRDI QIDQ1791268

Özlem Yeşiltaş

Publication date: 4 October 2018

Published in: Advances in High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.06136

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Supersymmetry and quantum mechanics (81Q60) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items (1)

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Uses Software

• BProbe

Cites Work

• Darboux partners of pseudoscalar Dirac potentials associated with exceptional orthogonal polynomials
• Group theoretic approach to rationally extended shape invariant potentials
• The geometry of the semiclassical wave front set for Schrödinger eigenfunctions on the torus
• Non-Hermitian Dirac Hamiltonian in three-dimensional gravity and pseudosupersymmetry
• The fermionic signature operator and quantum states in Rindler space-time
• Schrödinger spectra and the effective Hamiltonian of weak KAM theory on the flat torus
• Generalized quantum nonlinear oscillators: Exact solutions and rational extensions
• Parametric symmetries in exactly solvable real and PT symmetric complex potentials
• Measuring finite quantum geometries via quasi-coherent states
• Symmetry operators for neutrino and Dirac fields on curved spacetime
• One-Electron Atom in Curved Space-Time
• Solvable potentials associated with su(1,1) algebras: a systematic study

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