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


  • 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.



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


 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.