Gauge invariance and classical dynamics of noncommutative particle theory
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Publication:5246548
DOI10.1063/1.3299296zbMath1309.81160arXiv0910.1341OpenAlexW3098090160MaRDI QIDQ5246548
Vladislav G. Kupriyanov, Dmitri M. Gitman
Publication date: 21 April 2015
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0910.1341
Hamilton's equations (70H05) Yang-Mills and other gauge theories in quantum field theory (81T13) Noncommutative geometry methods in quantum field theory (81T75) Weak interaction in quantum theory (81V15) Motion of charged particles (78A35) Lagrange's equations (70H03)
Related Items (2)
Hydrogen atom in rotationally invariant noncommutative space ⋮ Variational problem for Hamiltonian system on so(k, m) Lie–Poisson manifold and dynamics of semiclassical spin
Cites Work
- Semiclassical and quantum motions on the non-commutative plane
- Nonrelativistic anyons in external electromagnetic field
- Gauge covariance of the Aharonov-Bohm phase in noncommutative quantum mechanics
- Path integral representations in noncommutative quantum mechanics and noncommutative version of Berezin-Marinov action
- Canonical quantization of so-called non-Lagrangian systems
- Galilean-invariant \((2+1)\)-dimensional models with a Chern-Simons-like term and \(D=2\) noncommutative geometry
- Noncommutative planar particle dynamics with gauge interactions
- Noncommutative relativistic particle on the electromagnetic background
- Exotic Galilean symmetry in the non-commutative plane and the Hall effect
- The action principle for a system of differential equations
- Quantum field theory on noncommutative spaces
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