Browsing by Author "Kebede Manyazewal"

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    Low Lying Energy States of two Electron Quantum Dots With Rigid Confinement
    (2011-06) Kebede Manyazewal; Mal'nev Vadim (Professor)
    The energy spectra of two electron system con ned in a semiconductor quantum dot is studied using variational method under the assumption of spherically symmetric rigid con nement potential. It is shown that the ground state energy level for rigid con nement is calculated with the help of perturbation method. The quantum states of the dots are treated as the singlet and triplet states like in the theory of helium atom. The phase transitions from the triplet state to singlet states are possible only with the account of spin-orbit interaction. The corresponding eigen value problem with rigid boundary condition is solved by numerical integrations. It is observed that the results obtained for variational ground state energy is in agreement with exact energy values, suggesting that variational approach works well for rigid con nement of two electrons quantum dot