EXPECTATION VALUES OF SOME DIATOMIC MOLECULES WITH DENG-FAN POTENTIAL USING HELLMANN-FEYNMAN THEOREM

Journal of Applied Physical Science International

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Title EXPECTATION VALUES OF SOME DIATOMIC MOLECULES WITH DENG-FAN POTENTIAL USING HELLMANN-FEYNMAN THEOREM
 
Creator OKON, ITUEN B.
ANTIA, AKANINYENE D.
AKPABIO, LOUIS E.
ARCHIBONG, BONIFACE U.
 
Description In this work we employed the elegant tool of parametric Nikiforov –Uvarov method to obtain an approximate bound state solution of Klein-Gordon and Schrodinger equations using Deng-Fan potential with improved approximation to the centrifugal term for some selected diatomic molecules. We obtained an unnormalized wave function and energy eigen equations for both relativistic and nonrelativistic wave equations.  We applied the non-relativistic limit to the Klein-Gordon equation to obtained   energy eigen equation of Schrodinger in order to affirm the high precision of   analytical mathematical accuracy.  We employed the mathematical tool of Hellmann-Feynman theorem to calculate expectation values  <r-2>, <T> and <p2> for nine selected diatomic molecules namely: Hydrogen (H2), Hydrogen Chloride (HCl), Lithium Hydride (LiH), Iodine (I2), Chromium hydride (CrH), Titanium Hydride (TiH), Thiocynate (TiH), Carbon (II) Oxide and Scandium Flouride (ScF). The numerical bound state solutions for these diatomic molecules is in agreement to work reported in existing literature using other quantum mechanical methods. All numerical simulations were carried out by implementing a well designed MATLAB algorithm using experimentally determined spectroscopic constants for the selected diatomic molecules. The numerical bound state solutions were obtained for varying principal quantum number n with fixed orbital angular quantum number l=0, 1 and 2.
 
Publisher International Knowledge Press
 
Date 2019-01-31
 
Type info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
 
Format application/pdf
 
Identifier http://www.ikprress.org/index.php/JAPSI/article/view/4333
 
Source Journal of Applied Physical Science International; 2018 - Volume 10 [Issue 5]; 247-268
2395-5279
 
Language eng
 
Relation http://www.ikprress.org/index.php/JAPSI/article/view/4333/4093
 
Rights Copyright (c) 2018 © Copyright International Knowledge Press. All rights reserved.
 

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