Charged particle in a flat box with static electromagnetic field and Landau's levels

Gustavo V. Lopez; Jorge A. Lizarraga

doi:10.4236/jmp.2020.1110106

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arXiv · 2004.00388

Charged particle in a flat box with static electromagnetic field and Landau's levels

Gustavo V. Lopez·Jorge A. Lizarraga

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Abstract

We study the quantization of the motion of a charged particle without spin inside a flat box under a static electromagnetic field. Contrary to Landau's solution with constant magnetic field transverse to the box, we found a non separable variables solution for the wave function, and this fact remains when static electric field is added. However, the Landau's Levels appear in all cases.

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Gustavo V. Lopez, Jorge A. Lizarraga. 2020-03-25. Charged particle in a flat box with static electromagnetic field and Landau's levels. https://doi.org/10.4236/jmp.2020.1110106

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