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BY-NC-ND 3.0 license Open Access Published by De Gruyter Open Access December 3, 2011

Accurate calculation of the bound states of the quantum dipole problem in two dimensions

Paolo Amore
From the journal Open Physics

Abstract

We present an accurate calculation of the energies of the bound states of the quantumdipole problemin two dimensions using a Rayleigh-Ritz approach. We obtain an upper bound for the energy of the ground state, which is by far the most precise in the literature for this problem. We also obtain an alternative estimate of the fundamental energy of the model performing an extrapolation of the results corresponding to different subspaces. Finally, our calculation of the energies of the first 500 states shows a perfect agreement with the expected asymptotic behavior.

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Published Online: 2011-12-3
Published in Print: 2012-2-1

© 2011 Versita Warsaw

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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