Landau problem in noncommutative quantum mechanics
Задача Ландау в некоммутативной квантовой механике
2008-02-01
SCID: 54.1/zy9hx3ep
Discuss with AI
Landau energy levelsLandau problemmomentum-momentum noncommutativitynoncommutative quantum mechanicsspace-space noncommutativity
Figures from the paper
Abstract (AI)
The Landau problem in non-commutative quantum mechanics (NCQM) is studied. First by solving the Schrödinger 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.
Key Findings
1
For noncommutative phase space with both space-space and momentum-momentum noncommutativity, the Hamiltonian is obtained explicitly.
2
Solving the Schrödinger equation on noncommutative space yields Landau energy levels modified by space-space noncommutativity.
3
The corresponding eigenfunctions and eigenvalues are derived for the simultaneous space-space and momentum-momentum noncommutative case.
4
The study derives the energy correction caused specifically by spatial noncommutativity in the Landau problem.
Research Object
The Landau problem in noncommutative quantum mechanics, including noncommutative space and phase space
Research Subject
Landau energy levels, energy corrections due to space-space noncommutativity, and the Hamiltonian, eigenfunctions, and eigenvalues in noncommutative phase space
Publication Details
Publication Date
2008-02-01
Journal
Publisher
ISSN
Open access PDF
Access Type
Author Information
Download PDF
Subscribe to digest