Low Lying Energy States Of Two Electron Quantum Dots With Rigid Confinement

The energy spectra of two electron system con ned in a semiconductor quantum dotrnis studied using variational method under the assumption of spherically symmetric rigidrncon nement potential. It is shown that the ground state energy level for rigid con nementrnis calculated with the help of perturbation method. The quantum states of the dots arerntreated as the singlet and triplet states like in the theory of helium atom. The phaserntransitions from the triplet state to singlet states are possible only with the accountrnof spin-orbit interaction. The corresponding eigen value problem with rigid boundaryrncondition is solved by numerical integrations. It is observed that the results obtained forrnvariational ground state energy is in agreement with exact energy values, suggesting thatrnvariational approach works well for rigid con nement of two electrons quantum dot

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