English

Deformed Schrodinger symmetry on noncommutative space

High Energy Physics - Theory 2009-01-07 v2

Abstract

We construct the deformed generators of Schroedinger symmetry consistent with noncommutative space. The examples of the free particle and the harmonic oscillator, both of which admit Schroedinger symmetry, are discussed in detail. We construct a generalised Galilean algebra where the second central extension exists in all dimensions. This algebra also follows from the Inonu--Wigner contraction of a generalised Poincare algebra in noncommuting space.

Keywords

Cite

@article{arxiv.hep-th/0508224,
  title  = {Deformed Schrodinger symmetry on noncommutative space},
  author = {Rabin Banerjee},
  journal= {arXiv preprint arXiv:hep-th/0508224},
  year   = {2009}
}

Comments

9 pages, LaTeX, abstract modified, new section included

R2 v1 2026-07-22T15:31:49.274Z