Time dynamics of electron wave functions of 3d quantum ring in alternating magnetic field

Abstract


Three-dimensional axially symmetrical exactly soluble model of quantum ring has been considered in the constant magnetic field. Potential, which restricts particle movement in the system in two directions, has been used. By applying method of splitting into physical processes, an electron wave functions and a quasi-stationary energy levels values have been obtained. Also a qualitative description of wave packet movement has been given for the case of quantum ring threading by alternating magnetic field.

About the authors

Alexander A Bryzgalov

National Research Nuclear University MPEIObninsk State Technical University

Email: sandro185@mail.ru
аспирант, каф. общей и специальной физики; Обнинский институт атомной энергетики - филиал НИЯУ МИФИ(Национальный исследовательский ядерный университет МИФИ ); National Research Nuclear University MPEIObninsk State Technical University

Fedor I Karmanov

National Research Nuclear University MPEIObninsk State Technical University

Email: fikarm@yandex.ru
; National Research Nuclear University MPEIObninsk State Technical University

References

  1. Viefers S., Koskinen P., Singha Deo P., Manninen M. Quantum rings for beginners: energy spectra and persistent currents // Physica E, 2004. Vol. 21, no. 1. Pp. 1-35.
  2. Timm R., Eisele H., Lenz A., Ivanova L., Balakrishnan G., Huffaker D. L., Dahne M. Self- organized formation of GaSb/GaAs quantum rings // Phys. Rev. Lett., 2008. Vol. 101, no. 25, 256101. 4 pp.
  3. Li Y., Voskoboynikov O., Lee C. P. Computer simulation of electron energy states for threedimensional InAs/GaAs semiconductor quantum rings / In: Technical Proceedings of the 2002 International Conference on Modeling and Simulation of Microsystems / Nanotech, 1, 2002. Pp. 540-543.
  4. Брызгалов А. А., Карманов Ф. И. Метод расщепления по физическим факторам в задаче о временной динамике волновых функций электронов двумерного квантового кольца // Матем. моделирование, 2010. Т. 22, № 6. С. 15-26
  5. Брызгалов А. А., Карманов Ф. И. Двумерное квантовое кольцо: влияние магнитного поля на временную динамику волновых функций электронов // Изв. вуз. Физика, 2010. № 3/2. С. 31-36.
  6. Tan W-C., Inkson J. C. Electron states in two-dimentional ring - an exactly soluble model // Semicond. Sci. Technol., 1996. Vol. 11, no. 11. Pp. 1635-1641.
  7. Kamke E. Differentialgleichungen. Lösungsmethoden und Lösungen. Vol. I: Gewohnliche Differentialgleichungen / 3rd edition (German). New York: Chelsea, 1948. 666 pp
  8. Handbook of mathematical functions with formulas, graphs, and mathematical tables / reprint of the 1972 edition; eds. M. Abramowitz, I. Stegun. New York: Dover Publications, 1992. 1046 pp

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