Tuesday, August 6, 2013

1308.0815 (F. Caruso et al.)

Solving a two-electron quantum dot model in terms of polynomial
solutions of a Biconfluent Heun Equation

F. Caruso, J. Martins, V. Oguri
The effects on the non-relativistic dynamics of a system compound by two electrons interacting by a Coulomb potential and with an external harmonic oscillator potential, confined to move in a two dimensional Euclidean space, are investigated. In particular, it is shown that it is possible to determine exactly and in a closed form a finite portion of the energy spectrum and the associated eigeinfunctions for the Schr\"odinger equation describing the relative motion of the electrons.
View original: http://arxiv.org/abs/1308.0815

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