Low-lying Energy Spectra Of Few-body System In Quantum Dots

The generalized Talmi-Moshinsky (GTM) coefficients of two-dimension and three-dimension have been introduced as a basic tool in the study of energy spectra in quantum dots.With the help of the GTM coefficients the energy spectra of a quantum dot with two electrons and a single positive ion, i.e. a negative hydrogenic donor center (D~) in a Gaussian potential have been calculated by using the method of numerical matrix diagonalization. By adopting proper basis function we calculated and analyzed an exciton in a Gaussian potential and magnetic field. We also studied the impurity effect in a two-electron quantum dot and low-lying spectra of the exciton complexes. Comparing system with different confining potential and different quantum size, the size and shape effects of quantum dots on the spectra are revealed. Our studies show that whether the magnetic being in QDs affects the spectra of the system. The all results indicate that the property of the few-body quantum dots system with confining potential is rather sensitive to the strength and shape as well as size of the confinement potential. The present results are useful to understand the optical and magnetic properties of QDs.Finally, we investigated the phase transition of two-component Bose-Einstein condensates (BECs) in optical lattice. After a brief introduction of the relevant fundamental theories and experimental development of BECs...