Chiral decomposition in the non-commutative Landau problem
arXiv:1112.0409 · doi:10.1016/j.aop.2012.02.014
Abstract
The decomposition of the non-commutative Landau (NCL) system into two uncoupled one-dimensional chiral components, advocated by Alvarez, Gomis, Kamimura and Plyushchay [1], is generalized to nonvanishing electric fields. This allows us to discuss the main properties of the NCL problem including its exotic Newton-Hooke symmetry and its relation to the Hall effect. The "phase transition" when the magnetic field crosses a critical value determined by the non-commutative parameter is studied in detail.
23 pages, 22 figures, in press in Annals of Physics
References in corpus (7)
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- Anisotropic harmonic oscillator, non-commutative Landau problem and exotic Newton-Hooke symmetry
- Kohn's Theorem, Larmor's Equivalence Principle and the Newton-Hooke Group
- Kohn's theorem and Newton-Hooke symmetry for Hill's equations
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Cited by in corpus (10)
- Chiral fermions as classical massless spinning particles
- Newton-Hooke type symmetry of anisotropic oscillators
- Eisenhart lift of Koopman-von Neumann mechanics
- Anomalous properties of spin-extended chiral fermions
- Various disguises of the Pais-Uhlenbeck oscillator
- (1+1) Newton-Hooke Group for the Simple and Damped Harmonic Oscillator
- Noncommutative effects on the fluid dynamics and modifications of the Freidmann equation
- Chiral Spin Noncommutative Space and Anomalous Dipole Moments
- Anomalous Hall Effect for semiclassical chiral fermions
- Density operator approach for Landau problem quantum Hamiltonians