Comment on the q-analogues of the harmonic oscillator
- 21 March 1990
- journal article
- editorial
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 23 (6), 1023-1027
- https://doi.org/10.1088/0305-4470/23/6/022
Abstract
The Heisenberg relation for the q-analogues of the quantum harmonic oscillator (introduced independently by Macfarlane and Biedenharn (1989) for the quantum group SU(2)q) is derived by a method analogous to that used by Schwinger (1968) for the SU(2) case. The author also speculates on the possible use of the quantum group as a generalisation of quantum mechanics.Keywords
This publication has 4 references indexed in Scilit:
- On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)qJournal of Physics A: General Physics, 1989
- The quantum group SUq(2) and a q-analogue of the boson operatorsJournal of Physics A: General Physics, 1989
- YANG-BAXTER ALGEBRAS, INTEGRABLE THEORIES AND QUANTUM GROUPSInternational Journal of Modern Physics A, 1989
- Aq-difference analogue of U(g) and the Yang-Baxter equationLetters in Mathematical Physics, 1985