A Unitary Transformation and Spectrum of a Three-Electron Quantum Dot

• Authors: H. Hassanabadi , H. Rahimov , H. Ghasem
• Languages of publication: EN

Abstracts

EN

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.

Keywords

EN

73.21.La; 73.20.Qt; 71.10.-w

Discipline

• 73.20.Qt: Electron solids
• 71.10.-w: Theories and models of many-electron systems
• 73.21.La: Quantum dots

• Journal: Acta Physica Polonica A
• Year: 2011
• Volume: 120
• Issue: 3
• Pages: 521-524

Dates

published

2011-09

received

2010-12-02

(unknown)

2011-02-27

Contributors

author

H. Hassanabadi

• Physics Department, Shahrood University of Technology, P.O. Box 3619995161-316 Shahrood, Iran

author

H. Rahimov

• Computer Engineering, Shahrood University of Technology, Shahrood, Iran

author

H. Ghasem

• School of Particles and Accelerators, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5531, Tehran, Iran

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Identifiers

DOI

10.12693/APhysPolA.120.521