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.
|Number of pages||4|
|Journal||Physics Letters A|
|Early online date||27 Apr 2006|
|Publication status||Published - 4 Sep 2006|
- 1 / N-expansion
- hyperspherical coordinates