Dynamics on SL(2,R)tilde-(X)U(1)
- 7 March 1990
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 23 (5) , 707-720
- https://doi.org/10.1088/0305-4470/23/5/015
Abstract
A complete analysis of the quantum dynamical system defined by the quantum group SL(2,R)tilde-(X)U(1) is made. This quantum group, which is primarily related to the relativistic harmonic oscillator, is also shown to provide the quantum dynamics of a free particle moving in (1+1)-dimensional anti-de Sitter spacetime. The latter interpretation illustrates the capabilities of the present group approach to quantisation in dealing with dynamical systems in more general spacetimes.Keywords
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