Effect of Minimal lengths on Electron Magnetism
arXiv:0707.2035 · doi:10.1088/1751-8113/40/9/017
Abstract
We study the magnetic properties of electron in a constant magnetic field and confined by a isotropic two dimensional harmonic oscillator on a space where the coordinates and momenta operators obey generalized commutation relations leading to the appearance of a minimal length. Using the momentum space representation we determine exactly the energy eigenvalues and eigenfunctions. We prove that the usual degeneracy of Landau levels is removed by the presence of the minimal length in the limits of weak and strong magnetic field.The thermodynamical properties of the system, at high temperature, are also investigated showing a new magnetic behavior in terms of the minimal length.
14 pages, 1 figure
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- Exact solutions of the (2+1) -dimensional Dirac oscillator under a magnetic field in the presence of a minimal length in the noncommutative phase-space
- Two-dimensional Klein-Gordon Oscillator in the presence of a minimal length
- Effect of Quantum Gravity on Specific Heat of Solid