The Low Lying States of Two-Electron Quantum dot with Parabolic Confinement
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Date
2011-06
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Addis Ababa University
Abstract
In this thesis we study the rst two low lying states of the two-electron quantum dot
with parabolic con nement. We use Harmonic oscillation model in spherical coordinates
due to its symmetry. With the help variational method, we nd the ground state and
rst excited state energy correction since the interaction between the two electrons is not
small in nano lengths. We determine the energy as a function of Coulomb interaction
scale. We calculate numerical values and propose interpolation formula for energies. It is
found that the electron-electron interaction a ects not only the energy and the radius of
the quantum dots but also the dielectric constant of the nanostructures
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Keywords
Quantum dot with Parabolic Confinement