Study of the Generalized Quantum Isotonic Nonlinear Oscillator Potential

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 condit...

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Bibliographic Details
Main Authors: Nasser Saad, Richard L. Hall, Hakan Çiftçi, Özlem Yeşiltaş
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2011/750168
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