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

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Hassanabadi H., Rahimov H., Ghasem H.
Acta Physica Polonica A
|
2011
|
vol. 120
|
issue 3
521-524
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.
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