A simple difference realization of the Heisenberg q-algebra

DOI10.1063/1.530464zbMath0809.17014OpenAlexW2044193169MaRDI QIDQ4317945

Kurt Bernardo Wolf, Natig M. Atakishiyev, Alejandro Frank

Publication date: 25 January 1995

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

Full work available at URL: https://doi.org/10.1063/1.530464

zbMATH Keywords

eigenfunctionsoscillator HamiltonianHeisenberg \(q\)-algebra

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) Applications of Lie (super)algebras to physics, etc. (17B81)

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Cites Work

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• On the q oscillator and the quantum algebra su_q(1,1)
• Lie algebras for systems with mixed spectra. I. The scattering Pöschl–Teller potential