Solutions of the Relativistic and Non-Relativistic Wave Equations with la0 for Modified Hylleraas Plus Attractive Radial Molecular Potential using Nikiforov-Uvarov Method

1
Louis Hitler
Louis Hitler
2
Benedict Iserom Ita
Benedict Iserom Ita
3
Pigwe Isa Amos
Pigwe Isa Amos
4
Magu Thomas Odey
Magu Thomas Odey
5
Alexander I.  Ikeuba
Alexander I. Ikeuba
6
Innocent Joseph
Innocent Joseph
3 University of Calabar

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Solutions of the Relativistic and Non-Relativistic Wave Equations with la0 for Modified Hylleraas Plus Attractive Radial Molecular Potential using Nikiforov-Uvarov Method Banner

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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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No external funding was declared for this work.

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The authors declare no conflict of interest.

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Pigwe Isa Amos. 2018. \u201cSolutions of the Relativistic and Non-Relativistic Wave Equations with la0 for Modified Hylleraas Plus Attractive Radial Molecular Potential using Nikiforov-Uvarov Method\u201d. Global Journal of Science Frontier Research - B: Chemistry GJSFR-B Volume 18 (GJSFR Volume 18 Issue B2): .

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Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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GJSFR-B Classification: FOR Code: 030699
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v1.2

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May 4, 2018

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English

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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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Solutions of the Relativistic and Non-Relativistic Wave Equations with la0 for Modified Hylleraas Plus Attractive Radial Molecular Potential using Nikiforov-Uvarov Method

Louis Hitler
Louis Hitler
Benedict Iserom Ita
Benedict Iserom Ita
Pigwe Isa Amos
Pigwe Isa Amos University of Calabar
Magu Thomas Odey
Magu Thomas Odey
Alexander I.  Ikeuba
Alexander I. Ikeuba
Innocent Joseph
Innocent Joseph

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