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

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    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 Sept 2006

    Keywords

    • 1 / N-expansion
    • hyperspherical coordinates

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