Study of the Generalized Quantum Isotonic Nonlinear Oscillator Potential
Joint Authors
Yeşiltaş, Özlem
Saad, Nasser
Çiftçi, Hakan
Hall, Richard L.
Source
Advances in Mathematical Physics
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-06-13
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
We study the generalized quantum isotonic oscillator Hamiltonian given by H=−d2/dr2+l(l+1)/r2+w2r2+2g(r2−a2)/(r2+a2)2, g>0.
Two approaches are explored.
A method for finding the quasipolynomial solutions is presented, and explicit expressions for these polynomials are given, along with the conditions on the potential parameters.
By using the asymptotic iteration method, we show how the eigenvalues of this Hamiltonian for arbitrary values of the parameters g, w, and a may be found to high accuracy.
American Psychological Association (APA)
Saad, Nasser& Hall, Richard L.& Çiftçi, Hakan& Yeşiltaş, Özlem. 2011. Study of the Generalized Quantum Isotonic Nonlinear Oscillator Potential. Advances in Mathematical Physics،Vol. 2011, no. 2011, pp.1-20.
https://search.emarefa.net/detail/BIM-495738
Modern Language Association (MLA)
Saad, Nasser…[et al.]. Study of the Generalized Quantum Isotonic Nonlinear Oscillator Potential. Advances in Mathematical Physics No. 2011 (2011), pp.1-20.
https://search.emarefa.net/detail/BIM-495738
American Medical Association (AMA)
Saad, Nasser& Hall, Richard L.& Çiftçi, Hakan& Yeşiltaş, Özlem. Study of the Generalized Quantum Isotonic Nonlinear Oscillator Potential. Advances in Mathematical Physics. 2011. Vol. 2011, no. 2011, pp.1-20.
https://search.emarefa.net/detail/BIM-495738
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-495738