q-deformed Phase Space and its Lattice Structure

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.

11 pages, latex, no figures

References in corpus (2)

• Dynamical Symmetries in q-deformed Quantum Mechanics
• q-deformed Fourier Theory

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