l-state Solutions of the Relativistic and Non-Relativistic Wave Equations for Modified Hylleraas-Hulthen Potential Using the Nikiforov-Uvarov Quantum Formalism-Reference-Cited by-同舟云学术

l-state Solutions of the Relativistic and Non-Relativistic Wave Equations for Modified Hylleraas-Hulthen Potential Using the Nikiforov-Uvarov Quantum Formalism

Published:2018-06-25 Issue:1 Volume:3 Page:03-09
ISSN:2456-799X
Container-title:Oriental Journal of Physical Sciences
language:
Short-container-title:Orient J Phys Sciences

Author:

Louis Hitler¹,B. Iserom Ita¹,U. Akakuru Ozioma¹,A. Nzeata-Ibe Nelson¹,I. Ikeuba Alexander¹,O. Magu Thomas¹,I. Amos Pigweh²,O. Collins Edet³

Affiliation:

1. Physical/Theoretical Chemistry Unit, Department of Pure and Applied Chemistry, School of Physical Sciences, University of Calabar, Calabar, Cross River State Nigeria .

2. Department of Chemistry, School of Physical Sciences, Modibbo Adama University of Technology, Yola, Adamawa State Nigeria .

3. Department of Physics, School of Physical Science, Federal University of Technology, Minna, Niger State Nigeria .

Abstract

An exact analytical and approximate solution of the relativistic and non-relativistic wave equations for central potentials has attracted enormous interest in recent years. By using the basic Nikiforov-Uvarov quantum mechanical concepts and formalism, the energy eigenvalue equations and the corresponding wave functions of the Klein–Gordon and Schrodinger equations with the interaction of Modified Hylleraas-Hulthen Potentials (MHHP) were obtained using the conventional Pekeris-type approximation scheme to the orbital centrifugal term. The corresponding unnormalized eigen functions are evaluated in terms of Jacobi polynomials.

Publisher

Oriental Scientific Publishing Company

Subject

Management Science and Operations Research,Mechanical Engineering,Energy Engineering and Power Technology

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