N-dimensional electron in a spherical potential: the large-N limit
Mesoscale and Nanoscale Physics
2013-04-01 v1
Abstract
We show that the energy levels predicted by a 1/N-expansion method for an N-dimensional Hydrogen atom in a spherical potential are always lower than the exact energy levels but monotonically converge towards their exact eigenstates for higher ordered corrections. The technique allows a systematic approach for quantum many body problems in a confined potential and explains the remarkable agreement of such approximate theories when compared to the exact numerical spectrum.
Cite
@article{arxiv.cond-mat/0601453,
title = {N-dimensional electron in a spherical potential: the large-N limit},
author = {Amit K Chattopadhyay},
journal= {arXiv preprint arXiv:cond-mat/0601453},
year = {2013}
}
Comments
8 pages, 1 figure