Some basic features of canonical ensemble in noncommutative spaces

S. A. Alavi

Some basic features of canonical ensemble in noncommutative spaces

Statistical Mechanics 2023-11-14 v1 High Energy Physics - Phenomenology High Energy Physics - Theory Quantum Physics

Authors: S. A. Alavi

Abstract

We calculate the corrections due to noncommutativity of space on the Hamiltonian and then partition function of the canonical ensemble. We study some basic features of statistical mechanics and thermodynamics including equipartition and virial theorem and energy fluctuations: correspondence with microcanonical ensemble, in the framework of non-commutative canonical ensemble. The corrections imposed by noncommutativity of space are derived and the results are discussed.

Keywords

noncommutative field theory canonical quantization quantum classical transition

Cite

@article{arxiv.2311.06312,
  title  = {Some basic features of canonical ensemble in noncommutative spaces},
  author = {S. A. Alavi},
  journal= {arXiv preprint arXiv:2311.06312},
  year   = {2023}
}