Landau Problem in Noncommutative Quantum Mechanics
arXiv:0802.1118 · doi:10.1088/1674-1137/32/2/003
Abstract
The Landau problem in non-commutative quantum mechanics (NCQM) is studied. First by solving the Schrdinger equations on noncommutative(NC) space we obtain the Landau energy levels and the energy correction that is caused by space-space noncommutativity. Then we discuss the noncommutative phase space case, namely, space-space and momentum-momentum non-commutative case, and we get the explicit expression of the Hamiltonian as well as the corresponding eigenfunctions and eigenvalues.
8 pages
References in corpus (3)
Cited by in corpus (16)
- A comparative review of four formulations of noncommutative quantum mechanics
- Composite system in noncommutative space and the equivalence principle
- Landau Analog Levels for Dipoles in the Noncommutative Space and Phase Space
- On the Landau system in noncommutative phase-space
- Effect of coordinate noncommutativity on the mass of a particle in a uniform field and the equivalence principle
- Chiral decomposition in the non-commutative Landau problem
- Dynamical noncommutative quantum mechanics
- On the Plethora of Representations Arising in Noncommutative Quantum Mechanics and An Explicit Construction of Noncommutative 4-tori
- Constrains of Charge-to-Mass Ratios on Noncommutative Phase Space
- Two-particle system in noncommutative space with preserved rotational symmetry
- Landau levels in a 2D noncommutative space: matrix and quaternionic vector coherent states
- Gauge invariant energy spectra in 2-dimensional noncommutative quantum mechanics
- Energy corrections due to the noncommutative phase-space of the charged isotropic harmonic oscillator in a uniform magnetic field in 3D
- Integral Transforms and -symmetric Hamiltonians
- On a charged spinless point particle minimally coupled to a constant magnetic field in a noncommutative plane
- Lattice oscillator model on noncommutative space: eigenvalues problem for the perturbation theory