q-deformed Phase Space and its Lattice Structure

Details q-deformed Phase Space and its Lattice Structure q-deformed Phase Space and its Lattice Structure

1995-11-15

arxiv.org/abs/hep-th/9511106v1

Z.Phys.C71:533-538,1996

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, latex, no figures

Scientific paper

10.1007/s002880050201

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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