Research ArticleOpen AccessGoogle Scholar indexed
About Degeneration of Landau’s Levels
Departamento de Física, Universidad de Guadalajara, Blvd. Marcelino García Barragan y Calzada Olímpica, CP 44200, Guadalajara, Jalisco, México
Departamento de Física, Universidad de Guadalajara, Blvd. Marcelino García Barragan y Calzada Olímpica, CP 44200, Guadalajara, Jalisco, México
- 1 Departamento de Física, Universidad de Guadalajara, Blvd. Marcelino García Barragan y Calzada Olímpica, CP 44200, Guadalajara, Jalisco, México
- 2 Departamento de Física, Universidad de Guadalajara, Blvd. Marcelino García Barragan y Calzada Olímpica, CP 44200, Guadalajara, Jalisco, México
Journal of Modern Physics·Volume 13 (2022)·Pages 122–126·Published 9 February 2022·DOI10.4236/jmp.2022.132010
Copy link · social · email
Abstract
Through the non separable solution of the eigenvalue problem associated to the problem of a charged particle in a flat box and a constant transversal magnetic field, with Landau and symmetric gauges, it is found that the Landau’s levels are numerably degenerated in both cases. A mathematical proposition is proven to carry out this statement.
KeywordsLandau’s GaugeSymmetric GaugeQuantum Hall EffectDegeneration
- Klitzing, K.V., Gordan, G. and Pepper, M. (1980) Physical Review Letters, 45, Article No. 494. https://doi.org/10.1103/PhysRevLett.45.494
- Klitzing, K.V., et al. (2020) Nature Reviews Physics, 2, 397-401. https://doi.org/10.1038/s42254-020-0209-1
- Michalakis, S. (2020) Nature Reviews Physics, 2, 392-393. https://doi.org/10.1038/s42254-020-0212-6
- Editorial (2020) Nature, 583, 659. https://doi.org/10.1038/d41586-020-02230-7
- Lopez, G.V. and Lizarraga, A.J. (2020) Journal of Modern Physics, 11, 1731-1742. https://doi.org/10.4236/jmp.2020.1110106
- Laughlin, R.B. (1983) Physical Review B, 27, 3383-3389. https://doi.org/10.1103/PhysRevB.27.3383
- Cifja, O. (2020) European Journal of Physics, 41, Article ID: 035404. https://doi.org/10.1088/1361-6404/ab78a7
- Lopez, G.V., Lizarraga, A.J., and Bravo, O.J.P. (2021) Journal of Modern Physics, 12, 1464-1474. https://doi.org/10.4236/jmp.2021.1210088
- Hewitt, E. and Stromberg, K. (1965) Real and Abstract Analysis. Springer-Verlag New York, 240. https://doi.org/10.1007/978-3-642-88044-5