Study of the generalized quantum isotonic nonlinear oscillator potential
Advances in Mathematical Physics, ISSN: 1687-9120, Vol: 2011, Issue: 1, Page: 373-392
2011
- 17Citations
- 16Usage
- 3Captures
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Metrics Details
- Citations17
- Citation Indexes17
- CrossRef17
- 15
- Usage16
- Abstract Views16
- Captures3
- Readers3
Article Description
We study the generalized quantum isotonic oscillator Hamiltonian given by H=-d /dr +l(l+1)/r + w r +2g(r - a)/ (r + a ), 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. © 2011 Nasser Saad et al.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=80052660987&origin=inward; http://dx.doi.org/10.1155/2011/750168; https://onlinelibrary.wiley.com/doi/10.1155/2011/750168; https://www.airitilibrary.com/Article/Detail/P20150805003-201112-201711160019-201711160019-373-392; https://dx.doi.org/10.1155/2011/750168; https://www.hindawi.com/journals/amp/2011/750168/
Wiley
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