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    • The exact solutions for the interaction $V(r) = \alpha r^{2d−2} − \beta r^{d−2}$ by Nikiforov–Uvarov method

      P K Bera

      Research Articles Volume 78 Issue 5 May 2012 pp 667-677

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/078/05/0667-0677

    • Keywords

       

      Nikiforov–Uvarov (NU) method; exact solutions for two- and 𝑁-dimensional problem; separate case study; local accidental degeneracies.

    • Abstract

       

      The exact solutions for the two- and 𝑁-dimensional Schrödinger equation have been rederived for the potential $V (r ) = \alpha r^{2d−2} − \beta r^{d−2}$ by Nikiforov–Uvarov method. Specific results are presented for (i) the hydrogen atom and (ii) an isotropic harmonic oscillator. The dimensionality of the problem is seen to enter into these relations in such a way that one can immediately verify the corresponding three-dimensional results. The local accidental degeneracies are also explained for the two- and 𝑁-dimensional problems.

    • Author Affiliations

       

      P K Bera1

      1. Department of Physics, Dumkal College, Basantapur, Dumkal, Murshidabad 742 303, India

    • Dates

       
      Published
      May 2012
      Manuscript received
      3 July 2011
      Manuscript revised
      25 November 2011
      Accepted
      11 January 2012

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