English

q-deformed Phase Space and its Lattice Structure

High Energy Physics - Theory 2010-11-19 v1

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 xx-space.

Keywords

Cite

@article{arxiv.hep-th/9511106,
  title  = {q-deformed Phase Space and its Lattice Structure},
  author = {M. Fichtmueller and A. Lorek and J. Wess},
  journal= {arXiv preprint arXiv:hep-th/9511106},
  year   = {2010}
}

Comments

11 pages, latex, no figures

R2 v1 2026-07-22T15:57:08.017Z