Quasi-Continuous Symmetries of Non-Lie Type
q-alg
2016-09-08 v1 High Energy Physics - Theory
Quantum Algebra
Nuclear Theory
Abstract
We introduce a smooth mapping of some discrete space-time symmetries into quasi-continuous ones. Such transformations are related with q-deformations of the dilations of the Euclidean space and with the non-commutative space. We work out two examples of Hamiltonian invariance under such symmetries. The Schrodinger equation for a free particle is investigated in such a non-commutative plane and a connection with anyonic statistics is found.
Keywords
Cite
@article{arxiv.q-alg/9612004,
title = {Quasi-Continuous Symmetries of Non-Lie Type},
author = {Andrei Ludu and Walter Greiner},
journal= {arXiv preprint arXiv:q-alg/9612004},
year = {2016}
}
Comments
18 pages, LateX, 3 figures, Submitted Found. Phys., PACS: 03.65.Fd, 11.30.Er