Numerical solution of differential and integral equations
MODELING OF ENERGY SPECTRUM AND OPTICAL PROPERTIES OF THE QUANTUM DOT - А+ CENTER COMPLEX IN THE ADIABATIC APPROACH. V.D. Krevchik and A.V. Levashov. Penza State University, email@example.com. In this work, the energy spectrum of the quantum dot - А+ center complex is calculated. The quantum dot which is occupied by one electron is described within the framework of the spherically symmetric wall model (“hard – wall” model). The zero – range potential model is used for the А+ center, taking into account interaction of the electron localized in the grand state of the quantum dot with the hole localized in the А+ center in the adiabatic approach. The adiabatic approach leads to the problem of three dimensions isotropic oscillator. Analytical solution of the Lippman – Schwinger integral equation for the wave function of hole localized at a shot – range potential in the presence of parabolic potential of confinement is obtained in the effective mass approximation. The integral equation that defines the dependence of the position of the hole on the quantum dot parameters and the position of the А+ center is obtained. This equation is analyzed by the use numerical methods. The impurity absorption coefficient connected with optical transitions from the ground state to excited states of the quantum dot is calculated with account of the quantum dot size dispersion.
Note. Abstracts are published in author's edition
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