Quasi-continuous symmetries of non-lie type

Foundations of Physics 27 (8):1123-1138 (1997)

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 noncommutative space. We work out two examples of Hamiltonian invariance under such symmetries. The Schrödinger equation for a free particle is investigated in such a noncommutative plane and a connection with anyonic statistics is found
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DOI 10.1007/BF02551437
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