A Unitary Transformation and Spectrum of a Three-Electron Quantum Dot
H. Hassanabadia, H. Rahimov b, and H. Ghasem c
aPhysics Department, Shahrood University of Technology, P.O. Box 3619995161-316 Shahrood, Iran
bComputer Engineering, Shahrood University of Technology, Shahrood, Iran
cSchool of Particles and Accelerators, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5531, Tehran, Iran
Received: December 2, 2010; In final form February 27, 2011
Full Text PDF
We consider the Hamiltonian of a three-electron quantum dot composed of parabolic confinement plus the Coulomb terms. Instead of using the Jacobi coordinates, we apply a unitary transformation to this system. To avoid the complexity, the Taylor expansion of the effective potential is introduced into the problem and thereby a solution is found for the eigenvalues of the corresponding three-body Schrödinger equation in terms of the Wigner parameter.
DOI: 10.12693/APhysPolA.120.521
PACS numbers: 73.21.La, 73.20.Qt, 71.10.-w