Time-dependent conserved operators for Schrödinger equation with constant electromagnetic field and quantization of resistance

Authors

  • Jorge Alfonso Lizarraga Brito Universidad de Guadalajara

DOI:

https://doi.org/10.31349/RevMexFis.72.020501

Keywords:

Time-dependent operators, Resistance quantization, Klitzing's constant

Abstract

Two systems are studied: the first one involves a charged particle under the influence of a constant electric field, and the second one involves a charged particle under the influence of a constant electromagnetic field. For both systems, it is possible to find time-dependent conserved operators that can be used to derive time-dependent solutions to the complete Schrodinger equation. These conserved operators are employed ¨ to define the symmetries of the system. An argument of invariance of the wave function under the action of a unitary operator leads to the quantization of resistance and resistivity, in integer multiples of the von Klitzing’s constant, for the first and second case respectively.

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Published

2026-03-09

How to Cite

[1]
J. A. Lizarraga Brito, “Time-dependent conserved operators for Schrödinger equation with constant electromagnetic field and quantization of resistance”, Rev. Mex. Fís., vol. 72, no. 2 Mar-Apr, pp. 020501 1–, Mar. 2026.

Issue

Vol. 72 No. 2 Mar-Apr (2026): Revista Mexicana de Física

Section

05 Condensed Matter

License

Copyright (c) 2026 Jorge Alfonso Lizarraga Brito

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