Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2006-01-19
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
8 pages, 1 figure
Scientific paper
10.1016/j.physleta.2006.04.028
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.
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