Magnetic Field Induction and Time Intervals of the Electron Transitions Approached in a Classical and Quantum-Mechanical Way
Stanisław Olszewski
.
DOI: 10.4236/jmp.2011.211161   PDF   HTML   XML   3,932 Downloads   6,691 Views   Citations

Abstract

The motion of electron wave packets of a metal is examined classically in the presence of the magnetic field with the aim to calculate the time intervals between two states lying on the same Fermi surface. A lower limiting value of the transition time equal to about 10–18 sec is estimated as an average for the case when the states are lying on the Fermi surface having a spherical shape. Simultaneously, an upper limit for the electron circular frequency in a metal has been also derived. A formal reference of the classical transition time to the time interval entering the energy-time uncertainty relations known in quantum mechanics is obtained.

Share and Cite:

S. Olszewski, "Magnetic Field Induction and Time Intervals of the Electron Transitions Approached in a Classical and Quantum-Mechanical Way," Journal of Modern Physics, Vol. 2 No. 11, 2011, pp. 1305-1309. doi: 10.4236/jmp.2011.211161.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] B. d’Espagnat, “Veiled Reality: An Analysis of Present- Day Quantum Mechanical Concepts,” Westview Press, Boulder, Colorado 2003.
[2] R. J. Cook, “Physical Time and Physical Space in General Relativity,” American Journal of Physics, Vol. 72, 2004, pp. 214-219. doi:10.1119/1.1607338
[3] C. Kittel, “Quantum Theory of Solids,” 2nd Edition, Wiley, New York, 1987.
[4] C. Kittel, “Introduction to Solid State Physics,” 7th Edition, Wiley, New York 1996.
[5] S. S. De, A. K. Ghosh and M. Bera, “On some Physical Characteristics of Ga,As-(Ga,Al)As Quantum-Well Photoluminescence,” Canadian Journal of Physics, Vol. 76, No. 2, 1998, pp. 105-110. doi:10.1139/cjp-76-2-105
[6] S. T. Perez-Merchancano, M. de Dios-Leyva and L. E. Oliveira, “Photoluminescence under Quasistationary Excitation Conditionsin Quantum Wells and Quantum-Well Wires,” Journal of Luminescence, Special Issue: Proceedings of the International Conference on Luminescence and Optical Spectroscopy of Condensed Matter, Vol. 72-74, 1997, pp. 389-390.
[7] S. T. Perez-Merchancano, M. de Dios-Leyva and L. E. Oliveira, “Radiative Recombination in Cylindrical GaAs- (Ga,Al)As Quantum-Well Wires under Quasistationary Excitation Conditions,” The Physical Review B, Vol. 53, No. 19, 1996, pp. 12985-12989. doi:10.1103/PhysRevB.53.12985
[8] L. E. Oliveira and M. de Dios-Leyva, “Radiative Lifetimes, Quasi-Fermi-Levels and Carrier Densities in GaAs- (Ga,Al))As Quantum-Well Photoluminescence under Steady State Excitation Conditions,” The Physical Review B, Vol. 48, No. 20, 1993, pp. 15092-15102. doi:10.1103/PhysRevB.48.15092
[9] J. C. Slater, “Quantum Theory of Molecules and Solids,” Vol. 3, McGraw-Hill, New York, 1967.
[10] N. W. Ashcroft and N. D. Mermin, “Solid State Physics,” Holt, Rinehart and Winston, New York, 1976.
[11] L. I. Schiff, “Quantum Mechanics,” 3rd Edition, McGraw- Hill, New York, 1968.

Copyright © 2021 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.