Theoretical Studies Of Negatively Charged Donor Quantum Dot

The general Talmi-Moshinsky coefficients of two-dimension and three-dimension have been introduced as a basic tool in the study of energy spectra of quantum dots. With the help of the Talmi-Moshinsky coefficients, the energy spectra of a quantum dot with two electrons and a single positive ion, i.e. a negatively charged donor center (D~- ) in a parabolic potential or Gaussian potential are calculated by using the method of numerical matrix diagonalization. This thesis consists of five chapters.In chapter 1, properties and applications of QDs, as well as their theory research methods are briefly introduced.In chapter 2, we introduced the product base of harmonic oscillator and deduced the Talmi-Moshinsky transformation braket of two-dimensional about N body system.In chapter 3, we studied the negatively charged donor ( D~- ) in the external magnetic field with a parabolic potential confinement. We obtained the binding energy spectra of the barried D~- centre in a quantum disc as a function of magnetic field strength.In chapter 4, we investigated the D~- quantum dot system subjected to a Gaussian potential confinement. We obtain the dependence of binding energies of the ground-states of the D~- centre on the depth of Gaussian potential and the magnetic field strength. The result shows clearly that the binding energies of the ground-states of the D~- centre are rather sensitive to the depth of potential and the strength of magnetic field.Chapter 5 is summary of the whole paper.