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arXiv · q-alg/9612004

Quasi-Continuous Symmetries of Non-Lie Type

Andrei Ludu·Walter Greiner
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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.

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BibTeXRIS

Andrei Ludu, Walter Greiner. 1996-12-02. Quasi-Continuous Symmetries of Non-Lie Type. https://doi.org/10.1007/bf02551437

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