The quantum group \(SU_ q(2)\) and \(q\)-analog of angular momentum operators in quantum mechanics

DOI10.1007/BF00670788zbMath0812.47073OpenAlexW2066990970MaRDI QIDQ1330098

Sheng-Li Zhang, Yi-Shi Duan

Publication date: 15 August 1994

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

Full work available at URL: https://doi.org/10.1007/bf00670788

zbMATH Keywords

quantum groupcommutation relationsconventional angular momentum operatorsquantum \(q\)-analog angular momentum operatorsquantum deformation parameter

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Applications of operator theory in the physical sciences (47N50) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items (1)

Energy spectrum of the two-dimensional \(q\)-hydrogen atom

Cites Work

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• Quantum group interpretation of some conformal field theories
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
• Quantum R matrix for the generalized Toda system
• Partition function of the eight-vertex lattice model
• On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)_q
• HIGHER EQUATIONS OF MOTION IN LIOUVILLE FIELD THEORY
• The q-deformed boson realisation of the quantum group SU(n)_qand its representations
• The quantum group SU_q(2) and a q-analogue of the boson operators
• On the q oscillator and the quantum algebra su_q(1,1)

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