Lie algebraic noncommuting structures from reparametrization symmetry
- S. N. Bose National Centre for Basic Sciences, JD Block, Sector III, Salt Lake, Kolkata 700098 (India)
We extend our earlier work of revealing both space-space and space-time noncommuting structures in various models in particle mechanics exhibiting reparametrization symmetry. We show explicitly (in contrast to the earlier results in our paper [R. Banerjee et al. J. Phys. A 38, 957 (2005), e-print hep-th/0405178]) that for some special choices of the reparametrization parameter {epsilon}, one can obtain space-space noncommuting structures which are Lie algebraic in form even in the case of the relativistic free particle. The connection of these structures with the existing models in the literature is also briefly discussed. Further, there exists some values of {epsilon} for which the noncommutativity in the space-space sector can be made to vanish. As a matter of internal consistency of our approach, we also study the angular momentum algebra in details.
- OSTI ID:
- 20929708
- Journal Information:
- Journal of Mathematical Physics, Vol. 48, Issue 5; Other Information: DOI: 10.1063/1.2723551; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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