q-deformed phase space and its lattice structure |
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| Authors: | M Fichtm��ller A Lorek J Wess |
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| Institution: | 1. Max-Planck-Institut f??r Physik, Werner-Heisenberg-Institut, F?hringer Ring 6, D-80805, M??nchen, Germany
2. Sektion Physik, Universit?t M??nchen, Theresienstr. 7, D-80333, M??nchen, Germany
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| Abstract: | A q-deformed two-dimensional phase space is studied as a model for a noncommutative phase space. A lattice structure arises that can be interpreted as a spontaneous breaking of a continuous symmetry. The eigenfunctions of a Hamiltonian that lives on such a lattice are derived as wavefunctions in ordinaryx-space. |
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