Deformation methods for single paraoscillator systems

DOI10.1063/1.530936zbMath0847.17016OpenAlexW2026940537MaRDI QIDQ4873250

R. S. Dunne

Publication date: 15 October 1996

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

Full work available at URL: https://doi.org/10.1063/1.530936

zbMATH Keywords

deformationCasimir operatorsFock space representationssingle particle paraoscillators

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50)

Cites Work

• Generalised harmonic oscillator systems and their Fock space description
• On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)_q
• q-analogues of the parabose and parafermi oscillators and representations of quantum algebras
• A Lie superalgebraic interpretation of the para-Bose statistics
• Generalized deformed oscillator and nonlinear algebras
• Equivalence of deformed fermionic algebras

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