Original Articles |
|
|
|
|
An Improvement of the Asymptotic Iteration Method for Exactly Solvable Eigenvalue Problems |
I. Boztosun;M. Karakoc |
Faculty of Arts and Sciences, Department of Physics, Erciyes University, Kayseri, Turkey |
|
Cite this article: |
I. Boztosun, M. Karakoc 2007 Chin. Phys. Lett. 24 3028-3031 |
|
|
Abstract We derive a formula that simplifies the original asymptotic iteration method formulation to find the energy eigenvalues for the analytically solvable cases. We then show that there is a connection between the asymptotic iteration and the Nikiforov--Uvarov methods, which both solve the second order linear ordinary differential equations analytically.
|
Keywords:
03.65.Ge
|
|
Received: 27 July 2007
Published: 23 October 2007
|
|
PACS: |
03.65.Ge
|
(Solutions of wave equations: bound states)
|
|
|
|
|
[1] Ciftci H, Hall R L and Saad N 2003 J. Phys. A: Math.Gen. 36 11807 [2] Ciftci H, Hall R L and Saad N 2005 J. Phys. A: Math.Gen. 38 1147 [3] Nikiforov A F and Uvarov V B 1988 Special Functions ofMathematical Physics (Basel: Birkhauser) [4] Cheng Y F and Dai T Q 2007 Physica Scripta 75 274 [5] Gonul B and Koksal K 2007 Physica Scripta 75 686 [6] Egrifes H, Demirhan D and Buyukkilic F 1999 PhysicaScripta 59 90 [7] Aktas M and Sever R 2005 J. Phys. Math. Chem. 37 139 [8] Yasuk F, Berkdemir C and Berkdemir A 2005 J. Phys. A: Math.Gen. 38 6579 [9] Yasuk F, Durmus A and Boztosun I 2006 J. Math. Phys. 47 082302 [10] Boztosun I, Karakoc M, Yasuk F and Durmus A 2006 J. Math.Phys. 47 062301 [11] Bayrak O and Boztosun I 2006 J. Phys. A: Math. Gen. 39 6955 [12] Aygun M, Bayrak O and Boztosun I 2007 J. Phys. B: At. Mol.Opt. Phys. 40 537 [13] Fern\'{andez F M 2004 J. Phys. A: Math. Gen. 37 6173 [14] Barakat T 2006 J. Phys. A: Math. Gen. 39 823 [15] Saad N, Hall R L and Ciftci H 2006 J. Phys. A: Math.Gen. 39 13445 [16] Bayrak O and Boztosun I 2006 J. Mol. Struct.: Theochem. 802 17 [17] Bayrak O, Boztosun I and Ciftci H 2007 Int. J. QuantumChem. 107 540 |
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|