Concepedia

On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)<sub>q</sub>

Alan Macfarlane

Journal of Physics A Mathematical and General · 1989 · 1.6K citations · 21 references

DOI

Concepts

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.

References

21

Aq-difference analogue of U(g) and the Yang-Baxter equation

Michio Jimbo · Letters in Mathematical Physics · 1985 · 2.7K citations

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Factorized S-matrices in two dimensions as the exact solutions of certain relativistic quantum field theory models

Alexander B. Zamolodchikov, Alexey B Zamolodchikov · Annals of Physics · 1979 · 2K citations

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Compact matrix pseudogroups

S. L. Woronowicz · Communications in Mathematical Physics · 1987 · 1.7K citations

A q-analogue of U(g[(N+1)), Hecke algebra, and the Yang-Baxter equation

Michio Jimbo · Letters in Mathematical Physics · 1986 · 1.5K citations

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Twisted $\textit{SU}(2)$ Group. An Example of a Non-Commutative Differential Calculus

S. L. Woronowicz · Publications of the Research Institute for Mathematical Sciences · 1987 · 849 citations · Full text

, , +13