English

Phase space methods for particles on a circle

Quantum Physics 2009-11-11 v1

Abstract

The phase space S×ZS\times Z for a particle on a circle is considered. Displacement operators in this phase space are introduced and their properties are studied. Wigner and Weyl functions in this context are also considered and their physical interpretation and properties are discussed. All results are compared and contrasted with the corresponding ones for the harmonic oscillator in the R×RR \times R phase space.

Keywords

Cite

@article{arxiv.quant-ph/0504015,
  title  = {Phase space methods for particles on a circle},
  author = {S. Zhang and A. Vourdas},
  journal= {arXiv preprint arXiv:quant-ph/0504015},
  year   = {2009}
}