N-dimensional electron in an anharmonic potential: the large-N limit

Research output: Contribution to journalArticle

Abstract

We show that the energy levels predicted by a frac(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.
Original languageEnglish
Pages (from-to)108-111
Number of pages4
JournalPhysics Letters A
Volume357
Issue number2
Early online date27 Apr 2006
DOIs
Publication statusPublished - 4 Sep 2006

Keywords

  • 1 / N-expansion
  • hyperspherical coordinates

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