Noncommutative oscillator, symmetry and Landau problem
arXiv:0803.4090 · doi:10.1140/epjc/s10052-008-0705-4
Abstract
Isotropic oscillator on a plane is discussed where both the coordinate and momentum space are considered to be noncommutative. We also discuss the symmetry properties of the oscillator for three separate cases when both the noncommutative parameters Θand \barΘ satisfy specific relations. We compare the Landau problem with the isotropic oscillator on noncommutative space and obtain a relation between the two noncommutative parameters with the magnetic field of the Landau problem.
4 pages, 2 figures, Refs. added
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Cited by in corpus (25)
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- Weak equivalence principle in noncommutative phase space and the parameters of noncommutativity
- On the Landau system in noncommutative phase-space
- Non-Hermitian quantum mechanics in non-commutative space
- Effect of noncommutativity on the spectrum of free particle and harmonic oscillator in rotationally invariant noncommutative phase space
- Response of simple quantum systems to different polarizations of gravitational waves in noncommutative phase-space
- Kinematic variables in noncommutative phase space and parameters of noncommutativity
- Constrains of Charge-to-Mass Ratios on Noncommutative Phase Space
- Non-Commutativity effects in the Dirac equation in crossed electric and magnetic fields
- Features of free particles system motion in noncommutative phase space
- Gauge invariant energy spectra in 2-dimensional noncommutative quantum mechanics
- System of interacting harmonic oscillators in rotationally invariant noncommutative phase space
- Energy corrections due to the noncommutative phase-space of the charged isotropic harmonic oscillator in a uniform magnetic field in 3D
- Influence of noncommutativity on the motion of Sun-Earth-Moon system and the weak equivalence principle
- Noncommutative Complex Scalar Field and Casimir Effect
- Oscillator model on Lie-algebraically deformed nonrelativistic space-time
- Trace of phase-space noncommutativity in the response of a free particle to linearized gravitational waves
- Two-particle system in Coulomb potential for twist-deformed space-time
- Quantum dot with spin-orbit interaction in noncommutative phase space and analog Landau levels
- A Family of Non-commutative geometries
- Harmonic oscillator chain in noncommutative phase space with rotational symmetry
- Features of description of composite system's motion in twist-deformed space-time
- Pauli energy spectrum for twist-deformed space-time
- Lattice oscillator model on noncommutative space: eigenvalues problem for the perturbation theory
- Exact continuity equation in a space with minimal length