Eigenvalues and eigenfunction

Journal Title, Volume, Page:

Journal of Molecular Structure: THEOCHEM 806, 155–158

Year of Publication:

2007

Link:

http://arxiv.org/abs/quant-ph/0611183

Authors:

Sameer Ikhdair

Department of Physics, Near East University, Nicosia, North Cyprus, Mersin-10, Turkey

Current Affiliation:

Department of Physics, Faculty of Science, An-Najah National University, Nablus, Palestine

[email protected]

Ramazan Sever

Department of Physics, Middle East Technical University, 06531 Ankara, Turkey

Preferred Abstract (Original):

The polynomial solution of the Schrodinger equation for the Pseudoharmonic potential is found for any arbitrary angular momentum l. The exact bound-state energy eigenvalues and the corresponding eigen functions are analytically calculated. The energy states for several diatomic molecular systems are calculated numerically for various principal and angular quantum numbers. By a proper transformation, this problem is also solved very simply by using the known eigensolutions of anharmonic oscillator potential.

An-Najah Staff

Eigenvalues and eigenfunction

Exact Polynomial Eigensolutions of the Schrödinger Equation for the Pseudoharmonic Potential