English

Non-commutative Oscillators and the commutative limit

High Energy Physics - Theory 2009-11-07 v2

Abstract

It is shown in first order perturbation theory that anharmonic oscillators in non-commutative space behave smoothly in the commutative limit just as harmonic oscillators do. The non-commutativity provides a method for converting a problem in degenerate perturbation theory to a non-degenerate problem.

Keywords

Cite

@article{arxiv.hep-th/0204149,
  title  = {Non-commutative Oscillators and the commutative limit},
  author = {B. Muthukumar and P. Mitra},
  journal= {arXiv preprint arXiv:hep-th/0204149},
  year   = {2009}
}

Comments

Latex, 6 pages, Minor changes and references added

R2 v1 2026-07-22T15:10:14.252Z