English

Symmetries of fundamental interactions in quantum phase space

High Energy Physics - Theory 2009-10-20 v2

Abstract

Quantum operators of coordinates and momentum components of a particle in Minkowski space-time belong to a noncommutative algebra and give rise to a quantum phase space. Under some constraints, in particular, the Lorentz invariance condition, the algebra of observables, including Lorentz group generators, depends on additional fundamental physical constants with the dimensions of mass, length and action. Generalized symmetries in a quantum phase space and some consequences for fundamental interactions of particles are considered.

Keywords

Cite

@article{arxiv.0906.5422,
  title  = {Symmetries of fundamental interactions in quantum phase space},
  author = {V. V. Khruschov},
  journal= {arXiv preprint arXiv:0906.5422},
  year   = {2009}
}

Comments

5 pages, LaTeX, reference added, corrected style and typos

R2 v1 2026-06-21T13:19:16.360Z