English

A Noncommutative Version of the Nonlinear Schrodinger Equation

High Energy Physics - Theory 2007-05-23 v1

Abstract

We apply a (Moyal) deformation quantization to a bicomplex associated with the classical nonlinear Schrodinger equation. This induces a deformation of the latter equation to noncommutative space-time while preserving the existence of an infinite set of conserved quantities.

Keywords

Cite

@article{arxiv.hep-th/0007015,
  title  = {A Noncommutative Version of the Nonlinear Schrodinger Equation},
  author = {Aristophanes Dimakis and Folkert Muller-Hoissen},
  journal= {arXiv preprint arXiv:hep-th/0007015},
  year   = {2007}
}

Comments

12 pages, LaTeX using amssymb.sty

R2 v1 2026-07-22T14:58:50.786Z