Supersymmetry and duality in relativistic oscillator systems

DOI10.1016/J.PHYSLETA.2011.09.005zbMath1254.81049OpenAlexW1998336801MaRDI QIDQ1927949

David Simon

Publication date: 2 January 2013

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2011.09.005

zbMATH Keywords

supersymmetric quantum mechanicsrelativistic harmonic oscillators

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) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40)

Cites Work

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• Group-theoretical construction of the quantum relativistic harmonic oscillator
• The relativistic Hermite polynomial is a Gegenbauer polynomial
• The relativistic szegö polynomials
• The supersymmetry of the (1+1)-dimensional oscillators in general relativity

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