Home › 2669 › Publications › Published Researches

Exact Polynomial Eigensolutions of the Schrödinger Equation for the Pseudoharmonic Potential

2669's picture
Wed, 2013-10-30 11:32 — Sameer. Ikhdair
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.
AttachmentSize
Exact Polynomial Eigensolutions of the Schrödinger Equation for the Pseudoharmonic Potential107.06 KB