q-deformed Phase Space and its Lattice Structure
M. Fichtmueller, A. Lorek, J. Wess
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 ordinary x-space.
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