N= 2 supersymmetric radiation damping problem on a noncommutative plane

DOI10.1002/andp.201300224zbMath1297.81161arXiv1402.6996OpenAlexW3125750018MaRDI QIDQ2922975

Albert C. R. Mendes, Everton M. C. Abreu, Wilson Oliveira

Publication date: 15 October 2014

Published in: Annalen der Physik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.6996

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Noncommutative geometry in quantum theory (81R60) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Cites Work

• \(N=2\) supersymmetric planar particles and magnetic interaction from noncommutativity
• Anyon wave equations and the noncommutative plane
• Noncommutative particles in curved spaces
• Nonrelativistic anyons in external electromagnetic field
• Canonical quantization of so-called non-Lagrangian systems
• Path integral approach to quantum Brownian motion
• Galilean-invariant \((2+1)\)-dimensional models with a Chern-Simons-like term and \(D=2\) noncommutative geometry
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• Supersymmetry in the non-commutative plane
• Topics in noncommutative geometry inspired physics
• Symmetry, gravity and noncommutativity
• A canonical approach to the quantization of the damped harmonic oscillator
• Exotic Galilean symmetry in the non-commutative plane and the Hall effect
• Supersymmetric classical mechanics
• Hamiltonian reduction of unconstrained and constrained systems
• Deformation quantization of linear dissipative systems
• Supersymmetrization of radiation damping
• Noncommutative field theory
• Quantum field theory on noncommutative spaces
• The exotic Galilei group and the ``Peierls substitution.

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