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arxiv: hep-th/9511106 · v1 · pith:RNA4FTU7new · submitted 1995-11-15 · ✦ hep-th

q-deformed Phase Space and its Lattice Structure

classification ✦ hep-th
keywords spacelatticephaseq-deformedstructurearisesbreakingcontinuous
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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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