Quasi-continuous symmetries of non-lie type
Copyright policy )Quasi-continuous symmetries of non-lie type
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.
18 pages, LateX, 3 figures, Submitted Found. Phys., PACS: 03.65.Fd, 11.30.Er
- Goethe University Frankfurt Germany
- Johann Wolfgang Goethe-Universitaet Germany
High Energy Physics - Theory, Nuclear Theory (nucl-th), Nuclear Theory, High Energy Physics - Theory (hep-th), Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), FOS: Physical sciences, ddc: ddc:530
High Energy Physics - Theory, Nuclear Theory (nucl-th), Nuclear Theory, High Energy Physics - Theory (hep-th), Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), FOS: Physical sciences, ddc: ddc:530
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