“School of Particles And Accelerator”

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Paper   IPM / Particles And Accelerator / 12928
School of Particles and Accelerator
  Title:   A Unitary Transformation and Spectrum of a Three-Electron Quantum Dot
1.  H Hassanabadia
2.  H Rahimov
3.  Hossein Ghasem
  Status:   Published
  Journal: Acta Phy. Polonica A
  No.:  3
  Vol.:  120
  Year:  2011
  Pages:   521
  Supported by:  IPM
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 Schrodinger equation in terms of the Wigner parameter

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