Symmetries of fundamental interactions in quantum phase space

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.

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

References in corpus (4)

• Relativistic invariant Lie algebras for kinematical observables in quantum space-time
• What our world might be like (as alternative to Minkowski space-time with Poincare group of motion)
• Confinement and U(1,3) symmetry of color particles in a complex phase space
• Generalized kinematical symmetries of quantum phase space