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math-phOct 7, 2009
3
citations (OpenAlex)
authors
  • D. M. Gitman
  • V. G. Kupriyanov
institutions
  • Universidade de São Paulo
arXiv abstractPDF
paper

Gauge invariance and classical dynamics of noncommutative particle theory

arXiv:0910.1341 · doi:10.1063/1.3299296

Abstract

We consider a model of classical noncommutative particle in an external electromagnetic field. For this model, we prove the existence of generalized gauge transformations. Classical dynamics in Hamiltonian and Lagrangian form is discussed, in particular, the motion in the constant magnetic field is studied in detail.

10 pages

References in corpus (9)

  • Dirac Equation in Noncommutative Space for Hydrogen Atom
  • Position-dependent noncommutativity in quantum mechanics
  • Gauge Covariance of the Aharonov-Bohm Phase in Noncommutative Quantum Mechanics
  • Canonical quantization of so-called non-Lagrangian systems
  • Path integral representations in noncommutative quantum mechanics and noncommutative version of Berezin-Marinov action
  • On the action principle for a system of differential equations
  • Semiclassical and quantum description of motion on noncommutative plane
  • Scattering of spin 1/2 particles by the 2+1 dimensional noncommutative Aharonov-Bohm potential
  • Dirac Quantization Condition for Monopole in Noncommutative Space-Time

Cited by in corpus (3)

  • Noncommutativity due to spin
  • Hydrogen atom in rotationally invariant noncommutative space
  • Variational problem for Hamiltonian system on so(k, m) Lie-Poisson manifold and dynamics of semiclassical spin
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