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On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)<sub>q</sub>
Journal of Physics A Mathematical and General · 1989 · Vol. 22(21) · pp. 4581–4588
Alan Macfarlane✉(University of Cambridge)
Abstract
The quantum group SU(2)q is discussed by a method analogous to that used by Schwinger to develop the quantum theory of angular momentum. Such theory of the q-analogue of the quantum harmonic oscillator, as is required for this purpose, is developed.
Algebraic structures and combinatorial modelsNonlinear Waves and SolitonsAdvanced Topics in AlgebraPhysicsQuantum harmonic oscillatorQuantum mechanicsQuantumHarmonic oscillatorGroup (periodic table)Angular momentumQuantum numberAzimuthal quantum numberTotal angular momentum quantum number
Funding
- University of Cambridge
- Vedecká Grantová Agentúra MŠVVaŠ SR a SAV
Citations
1,506
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89.25
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25
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100%
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References
QuantumR matrix for the generalized Toda system
Communications in Mathematical Physics · 1986 · 821 citations
Compact matrix pseudogroups
Communications in Mathematical Physics · 1987 · 1,642 citations
Factorized S-matrices in two dimensions as the exact solutions of certain relativistic quantum field theory models
Annals of Physics · 1979 · 1,896 citations
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