Journal
PHYSICS LETTERS A
Volume 357, Issue 2, Pages 108-111Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physleta.2006.04.028
Keywords
1/N-expansion; hyperspherical coordinates
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We show that the energy levels predicted by a 1/N-expansion method for an N-dimensional electron in an anharmonic potential are always lower than the exact energy levels but monotonically converge toward 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 with numerical results. (c) 2006 Elsevier B.V. All rights reserved.
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