Operator associated to the index of degeneration of Landau’s levels

Authors

  • Jorge A. Lizarraga Universidad de Guadalajara
  • Gustavo López Velázquez Universidad de Guadalajara

DOI:

https://doi.org/10.31349/RevMexFis.69.010502

Keywords:

Landau’s gauge, symmetric gauge, quantum Hall effect, degeneration

Abstract

We determine the operators associated to the index of degeneration of Landau's levels for the Landau's gauge and symmetric gauge of the magnetic field, with the non separable eigenvalue solution obtained for a charged particle in a flat box under a magnetic field perpendicular to flat motion.

References

J.D. Jackson, Classical Electrodynamics, 3th-Edition, Wiley, (2022)

G.V. Lopez, and J.A. Lizarraga, ´ Charged Particle in a Flat Box with Static Electromagnetic Field and Landau Levels, J. Mod. Phys., 11, (2020), 1731.

G.V. Lopez, J.A. Lizarraga and O.J.P. Bravo, Quantum Charged Particle in a Flat Box under Static Electromagnetic Field with Landau Gauge and Special Case with Symmetric Gauge , J. Mod. Phys., 12, (2021), 1404.

J.A. Lizarraga and G.V. Lopez, ´ About Degeneration of Landau’s Levels , J. Mod. Phys., 13, (2022), 122.

L.D. Landau and E.M. Lifshitzz, Quantum Mechanics: NonRelativistic Theory, Volume 3, Elsevier, Amsterdam (2013).

A. Messiah, Quantum Mechanics, Dover Publications, Mineola (1999).

C. Cohen-Tannoudji, D. Bernard and L. Frank, Quantum Mechanics Vol. I , Paris, Wiley, (1977).

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Published

2023-01-03

How to Cite

[1]
J. A. Lizarraga and G. López Velázquez, “Operator associated to the index of degeneration of Landau’s levels”, Rev. Mex. Fís., vol. 69, no. 1 Jan-Feb, pp. 010502 1–, Jan. 2023.

Issue

Vol. 69 No. 1 Jan-Feb (2023): Revista Mexicana de Física

Section

05 Condensed Matter

License

Copyright (c) 2023 Jorge A. Lizarraga, Gustavo López Velázquez

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Authors retain copyright and grant the Revista Mexicana de Física right of first publication with the work simultaneously licensed under a CC BY-NC-ND 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.