On the exact solution of the Schrodinger equation with a quartic anharmonicity
INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, cilt.57, sa.1, ss.63-71, 1996 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 57 Sayı: 1
- Basım Tarihi: 1996
- Dergi Adı: INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.63-71
- Orta Doğu Teknik Üniversitesi Adresli: Evet
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.