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Advances in Mathematical Physics
Volume 2011 (2011), Article ID 750168, 20 pages
http://dx.doi.org/10.1155/2011/750168
Research Article

Study of the Generalized Quantum Isotonic Nonlinear Oscillator Potential

1Department of Mathematics and Statistics, University of Prince Edward Island, 550 University Avenue, Charlottetown, PE, Canada C1A 4P3
2Department of Mathematics and Statistics, Concordia University, 1455 de Maisonneuve Boulevard West, Montréal, QC, Canada H3G 1M8
3Department of Physics, Faculty of Arts and Sciences, Gazi University, 06500 Ankara, Turkey

Received 11 March 2011; Accepted 13 April 2011

Academic Editor: B. G. Konopelchenko

Copyright © 2011 Nasser Saad et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [7 citations]

The following is the list of published articles that have cited the current article.

  • V. Chithiika Ruby, and M. Senthilvelan, “A report on the nonlinear squeezed states and their non-classical properties of a generalized isotonic oscillator,” Journal Of Physics A-Mathematical And Theoretical, vol. 45, no. 12, 2012. View at Publisher · View at Google Scholar
  • Davids Agboola, and Yao-Zhong Zhang, “Unified derivation of exact solutions for a class of quasi-exactly solvable models,” Journal of Mathematical Physics, vol. 53, no. 4, pp. 042101, 2012. View at Publisher · View at Google Scholar
  • D. Agboola, “Quasi-exact treatment of the relativistic generalized isotonic oscillator,” Journal of Mathematical Physics, vol. 53, no. 5, pp. 052302, 2012. View at Publisher · View at Google Scholar
  • V. Chithiika Ruby, and M. Senthilvelan, “An observation of quadratic algebra, dual family of nonlinear coherent states and their non-classical properties, in the generalized isotonic oscillator,” Journal of Mathematical Physics, vol. 53, no. 8, pp. 082102, 2012. View at Publisher · View at Google Scholar
  • Axel Schulze-Halberg, and Christopher R. Gordon, “Spectral properties of a confined nonlinear quantum oscillator in one and three dimensions,” Journal of Mathematical Physics, vol. 54, no. 4, pp. 042108, 2013. View at Publisher · View at Google Scholar
  • Ming Li, S. C. Lim, Carlo Cattani, and Massimo Scalia, “Characteristic Roots of a Class of Fractional Oscillators,” Advances in High Energy Physics, vol. 2013, pp. 1–7, 2013. View at Publisher · View at Google Scholar
  • Davids Agboola, Jon Links, Ian Marquette, and Yao-Zhong Zhang, “New quasi-exactly solvable class of generalized isotonic oscillators,” Journal of Physics A: Mathematical and Theoretical, vol. 47, no. 39, pp. 395305, 2014. View at Publisher · View at Google Scholar