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Quantum Thermodynamics

Effect of Minimal lengths on Electron Magnetism

arXiv
Authors: Khireddine Nouicer

Year

2007

Paper ID

49677

Status

Preprint

Abstract Read

~2 min

Abstract Words

105

Citations

N/A

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.

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  • 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...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:0707.2035 [2] arXiv https://arxiv.org/abs/0707.2035 [3] Publisher https://arxiv.org/abs/0707.2035

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