2007•arXiv (Cornell University)Open access

Exact solution of Schrodinger equation for Pseudoharmonic potentia

R. Sever, C. Tezcan, Metin Aktaş, Özlem Yeşiltaş

Abstract

Exact solution of Schrodinger 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 $\ell$ and n with n<5 for some diatomic molecules.

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Key concepts: Eigenfunction, Eigenvalues and eigenvectors, Wave function, Schrödinger equation, Diatomic molecule, Physics, Quantum mechanics, Angular momentum