Reducibility of supersymmetric quantum mechanics

DOI10.1007/BF02435955zbMath0887.46049OpenAlexW2022188052MaRDI QIDQ1375588

Jules Beckers, Anatolia G. Nikitin, Nathalie Debergh

Publication date: 6 January 1998

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02435955

zbMATH Keywords

harmonic oscillatorsupersymmetric quantum mechanicssuperalgebraCalogero problemdeformed annihilation and creation operators

Mathematics Subject Classification ID

Supersymmetry and quantum mechanics (81Q60) Applications of functional analysis in quantum physics (46N50)

Related Items

Raising and lowering of generalized Hulthén potential from supersymmetry approaches, Kinematical invariance groups of the 3d Schrödinger equations with position dependent masses, Factorization method and stability of \(\phi^{4}\) and sine-Gordon theory, Extended supersymmetries for the Schrödinger–Pauli equation, Supersymmetries in Schrödinger–Pauli Equations and in Schrödinger Equations with Position Dependent Mass, Group classification of Schrödinger equations with position dependent mass, Nonstandard Dirac equations for nonstandard spinors

Cites Work

• Dynamical breaking of supersymmetry
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• SUSY BREAKING IN CELKA-HUSSIN'S GENERAL 3D MODEL OSCILLATOR HAMILTONIAN AND THE WIGNER PARAMETER
• On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)_q
• The quantum group SU_q(2) and a q-analogue of the boson operators
• Positive discrete series of osp(2‖2,R) and (para)supersymmetric quantum mechanics
• Wigner quantum oscillators
• Do the Equations of Motion Determine the Quantum Mechanical Commutation Relations?
• Lie superalgebras
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