Finite difference calculation of optical properties of hydrogenic impurity in spherical quantum dot with parabolic confinement

Authors

  • Kriti Batra University School of Basic and Applied Sciences, GGS Indraprastha University, Dwarka, Delhi-110078, India.
  • Vinod Prasad Department of Physics, Swami Shraddhanand College, University of Delhi, Delhi-110036, India.

DOI:

https://doi.org/10.31349/RevMexFisE.64.7

Keywords:

Hydrogenic impurity, finite difference method, spherical quantum dots, optical properties.

Abstract

 The optical properties of an electron with an impurity in a spherical quantum dot under parabolic confinement are studied and energies, wave functions, binding energies, radial matrix elements, polarizability, susceptibility and oscillator strength have been evaluated. The numerical method used is the finite difference method in the framework of the effective mass approximation. The variation of the energy levels and radial matrix elements have been studied as function of the radius of the GaAs sphere and also as function of the frequency of the harmonic oscillator potential or parabolic potential. In addition we have studied how polarizability, susceptibility and the oscillator strength vary as a function of dot radius and at different parabolic potential frequencies.

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Published

2018-04-10

How to Cite

[1]
K. Batra and V. Prasad, “Finite difference calculation of optical properties of hydrogenic impurity in spherical quantum dot with parabolic confinement”, Rev. Mex. Fis. E, vol. 64, no. 1 Jan-Jun, pp. 7–15, Apr. 2018.

Issue

Vol. 64 No. 1 Jan-Jun (2018): Revista Mexicana de Física E

Section

02 Education in Physics

License

Copyright (c) 2018 Kriti Batra, Vinod Prasad

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Authors retain copyright and grant the Revista Mexicana de Física E 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.