Dynamics of a Dirac fermion in the presence of spin noncommutativity

DOI10.1016/j.physletb.2012.12.010zbMath1372.81097arXiv1207.0412OpenAlexW1964064079MaRDI QIDQ2410333

C. A. Stechhahn, A. F. Ferrari, Marcelo O. C. Gomes, Vladislav G. Kupriyanov

Publication date: 17 October 2017

Published in: Physics Letters. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.0412

Mathematics Subject Classification ID

Noncommutative geometry in quantum theory (81R60)

Related Items

Relativistic corrections to the algebra of position variables and spin-orbital interaction, Classical electrodynamics in a space with spin noncommutativity of coordinates, System of interacting harmonic oscillators in rotationally invariant noncommutative phase space, Twisted supersymmetry in a deformed Wess-Zumino model in (2 + 1) dimensions, Duffin-Kemmer-Petiau oscillator with spin non-commutativity, Noncommutative phase space with rotational symmetry and hydrogen atom, Hydrogen atom in rotationally invariant noncommutative space, Noncommutative spaces and Poincaré symmetry

Uses Software

• Mathematica

Cites Work

• Unnamed Item
• Minimal length in quantum mechanics and non-Hermitian Hamiltonian systems
• Particle dynamics on Snyder space
• On a Lorentz-invariant interpretation of noncommutative space-time and its implications on noncommutative QFT
• Snyder space revisited
• Path integral representations in noncommutative quantum mechanics and noncommutative version of Berezin-Marinov action
• Quantum field theory techniques in graphical enumeration
• Particle spin dynamics as the Grassmann variant of classical mechanics
• Galilean-invariant \((2+1)\)-dimensional models with a Chern-Simons-like term and \(D=2\) noncommutative geometry
• Noncommutative relativistic particle on the electromagnetic background
• The three-dimensional noncommutative Gross–Neveu model
• UV divergence-free QFT on noncommutative plane
• TWIST TO CLOSE
• SPIN AND STATISTICS ON THE GROENEWOLD–MOYAL PLANE: PAULI-FORBIDDEN LEVELS AND TRANSITIONS
• Wigner oscillators, twisted Hopf algebras, and second quantization
• Quantized Space-Time
• The exotic Galilei group and the ``Peierls substitution.
• Quantum mechanics on the noncommutative plane and sphere
• Quantum mechanics on noncommutative plane and sphere from constrained systems