On Green–Cusson Ansätze and deformed supersymmetric quantum mechanics

DOI10.1063/1.531743zbMath0884.17022OpenAlexW1963523954MaRDI QIDQ4716449

Nathalie Debergh, Jules Beckers

Publication date: 19 December 1996

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.531743

zbMATH Keywords

irreducible representationsparafermionsorthosymplectic Lie superalgebraparabosonsGreen-Cusson Ansätzeinvariance Lie superalgebra

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Applications of Lie (super)algebras to physics, etc. (17B81) Supersymmetry and quantum mechanics (81Q60)

Cites Work

• Dynamical breaking of supersymmetry
• Generalized deformed parafermions, nonlinear deformations of \(\text{so}(3)\) and exactly solvable potentials
• DEFORMED CONFORMAL AND SUPERSYMMETRIC QUANTUM MECHANICS
• A NOTE ON q-DEFORMATIONS AND SUPERSYMMETRIC QUANTUM MECHANICS
• A CLASSICAL REALIZATION OF QUANTUM ALGEBRAS
• SECOND ORDER DERIVATIVE SUPERSYMMETRY, q DEFORMATIONS AND THE SCATTERING PROBLEM
• The quantum group SU_q(2) and a q-analogue of the boson operators
• Coherent states for the noncompact supergroups Osp(2/2N,R)
• Generalized deformed oscillator and nonlinear algebras
• Positive discrete series of osp(2‖2,R) and (para)supersymmetric quantum mechanics
• A Generalized Method of Field Quantization

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