The exact solutions for the interaction $V(r) = 𝛼 r^{2d−2} − 𝛽 r^{d−2}$ by Nikiforov–Uvarov method

Pramana

P K Bera1¹ 

[1] Department of Physics, Dumkal College, Basantapur, Dumkal, Murshidabad 742 303, India$$

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

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

The exact solutions for the two- and 𝑁-dimensional Schrödinger equation have been rederived for the potential $V (r ) = 𝛼 r^{2d−2} − 𝛽 r^{d−2}$ 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.

【 授权许可】

Unknown