학술논문

Exact solution of Schrödinger equation for Pseudoharmonic potential
Document Type
Original Paper
Source
Journal of Mathematical Chemistry. February 2008 43(2):845-851
Subject
Schrödinger equation
pseudoharmonic potential
diatomic molecules
Nikiforov–Uvarov method
03.65.-w
03.65.Ge
12.39.Fd
Language
English
ISSN
0259-9791
1572-8897
Abstract
Exact solution of Schrödinger equation for the pseudoharmonic potential is obtained for an arbitrary angular momentum. The energy eigenvalues and corresponding eigenfunctions are calculated by Nikiforov–Uvarov method. Wavefunctions are expressed in terms of Jacobi polynomials. The energy eigenvalues are calculated numerically for some values of ℓ and n with n ≤  5 for some diatomic molecules.