English

Path Integral Formulation of Noncommutative Quantum Mechanics

High Energy Physics - Theory 2009-11-07 v1

Abstract

We propose a phase-space path integral formulation of noncommutative quantum mechanics, and prove its equivalence to the operatorial formulation. As an illustration, the partition function of a noncommutative two-dimensional harmonic oscillator is calculated.

Keywords

Cite

@article{arxiv.hep-th/0107078,
  title  = {Path Integral Formulation of Noncommutative Quantum Mechanics},
  author = {Ciprian Acatrinei},
  journal= {arXiv preprint arXiv:hep-th/0107078},
  year   = {2009}
}

Comments

Latex, 7 pages

R2 v1 2026-07-22T15:05:17.845Z