English

Path integral and noncommutative poisson brackets

High Energy Physics - Theory 2015-02-06 v1

Abstract

We find that in presence of noncommutative poisson brackets the relation between Lagrangian and Hamiltonian is modified. We discuss this property by using the path integral formalism for non-relativistic systems. We apply this procedure to the harmonic oscillator with a minimal length.

Keywords

Cite

@article{arxiv.1502.01711,
  title  = {Path integral and noncommutative poisson brackets},
  author = {P. Valtancoli},
  journal= {arXiv preprint arXiv:1502.01711},
  year   = {2015}
}

Comments

7 pages, no figures

R2 v1 2026-06-22T08:23:17.204Z