On the exact solution of the Schrodinger equation with a quartic anharmonicity


Taseli H.

INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, cilt.57, ss.63-71, 1996 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 57 Konu: 1
  • Basım Tarihi: 1996
  • Dergi Adı: INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY
  • Sayfa Sayıları: ss.63-71

Özet

A new version of solutions in the form of an exponentially weighted power series is constructed for the two-dimensional circularly symmetric quartic oscillators, which reflects successfully the desired properties of the exact wave function. The regular series part is shown to be the solution of a transformed equation. The transformed equation is applicable to the one-dimensional problem as well. Moreover, the exact closed-form eigenfunctions of the harmonic oscillator can be reproduced as a special case of the present wave function. (C) 1996 John Wiley & Sons, Inc.