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http://hdl.handle.net/123456789/3658
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| Title: | LOW LYING ENERGY STATES OF TWO ELECTRON QUANTUM DOTS WITH RIGID CONFINEMENT |
| Authors: | Manyazewal, Kebede |
| Advisors: | Pro.Vadim N. Mal'nev |
| Keywords: | energy spectra
perturbation method |
| Copyright: | Jun-2011 |
| Date Added: | 6-Nov-2012 |
| Publisher: | AAU |
| Abstract: | 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.
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| Description: | A THESIS PRESENTED TO THE SCHOOL OF GRADUATE STUDIES ADDIS ABABA
UNIVERSITY IN PARTIAL FULFILLMENT OF THE
REQUIREMENTS FOR THE DEGREE OF
MASTER OF SCIENCE IN PHYSICS |
| URI: | http://hdl.handle.net/123456789/3658 |
| Appears in: | Thesis - Physics
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