Solutions of the Relativistic and Non-Relativistic Wave Equations with la0 for Modified Hylleraas Plus Attractive Radial Molecular Potential using Nikiforov-Uvarov Method
schrodinger, klein-gordon, hylleraas, attractive radial, nikiforov-uvarov
Abstract
It is well known that the exact solutions play an important role in quantum mechanics since they contain all the necessary information regarding the quantum model under study. However, the exact analytic solutions of nonrelativistic and relativistic wave equations are only possible for certain potentials of physical interest. In this paper, bound state solutions of the Schrodinger and Klein-Gordon equations with Modified Hylleraas plus attractive radial potentials (MHARP), have been obtained using the parametric Nikiforov-Uvarov (NU) method which is based on the solutions of general second-order linear differential equations with special functions. The bound state eigen energy solutions for both wave equations were obtained. Also special cases of the potential have been considered and their energy eigen values obtained.
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2018-05-04
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