Solution of the radial Schrodinger equation for the potential family V(r)=(A)/(r2)-(B)(/r)+Cr-kappa using the asymptotic iteration method


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Aygun M., Bayrak O., Boztosun I.

JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, vol.40, no.3, pp.537-544, 2007 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 40 Issue: 3
  • Publication Date: 2007
  • Doi Number: 10.1088/0953-4075/40/3/009
  • Title of Journal : JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS
  • Page Numbers: pp.537-544

Abstract

We present the exact and iterative solutions of the radial Schrodinger equation for a class of potentials, V (r) = A/r(2) - B/r+Cr-k, for various values of k from - =2 to 2, for any n and l quantum states by applying the asymptotic iteration method. The global analysis of this potential family by using the asymptotic iterationmethod results in exact analytical solutions for the values of k = 0,- 1 and -2. Nevertheless, there are no analytical solutions for the cases k = 1 and 2. Therefore, the energy eigenvalues are obtained numerically. Our results are in excellent agreement with previous work.