Click here to view fulltext PDF

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

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

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.

P K Bera¹

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

Published

May 2012

Manuscript received

3 July 2011

Manuscript revised

25 November 2011

Accepted

11 January 2012