Approximate analytical solutions of Klein–Gordon equation with Hulthén potentials for nonzero angular momentum

2007 ◽  
Vol 370 (3-4) ◽  
pp. 219-221 ◽  
Author(s):  
Chang-Yuan Chen ◽  
Dong-Sheng Sun ◽  
Fa-Lin Lu
Keyword(s):  
Angular Momentum ◽  
Analytical Solutions ◽  
Gordon Equation ◽  
Approximate Analytical Solutions ◽  
Klein Gordon ◽  
Klein Gordon Equation

scholarly journals Approximate Analytical Solutions of the Effective Mass Klein-Gordon Equation for Two Interacting Potentials

2018 ◽  
Vol 19 (1) ◽  
pp. 1
Author(s):  
Osarodion Ebomwonyi ◽  
Atachegbe Clement Onate ◽  
Michael C. Onyeaju ◽  
Joshua Okoro ◽  
Matthew Oluwayemi
Keyword(s):  
Effective Mass ◽  
Analytical Solutions ◽  
Gordon Equation ◽  
Approximate Analytical Solutions ◽  
Klein Gordon ◽  
Klein Gordon Equation

Approximate analytical solutions of scattering states for Klein-Gordon equation with Hulthén potentials for nonzero angular momentum

Open Physics ◽  
2008 ◽  
Vol 6 (4) ◽  
Author(s):  
Chang-Yuan Chen ◽  
Fa-Lin Lu ◽  
Dong-Sheng Sun
Keyword(s):  
Analytical Solutions ◽  
Hypergeometric Functions ◽  
Gordon Equation ◽  
Approximate Analytical Solution ◽  
Wave Functions ◽  
Calculation Formula ◽  
Scattering States ◽  
Approximate Analytical Solutions ◽  
Klein Gordon ◽  
Klein Gordon Equation

AbstractIn this paper, using the exponential function transformation approach along with an approximation for the centrifugal potential, the radial Klein-Gordon equation with the vector and scalar Hulthén potential is transformed to a hypergeometric differential equation. The approximate analytical solutions of t-waves scattering states are presented. The normalized wave functions expressed in terms of hypergeometric functions of scattering states on the “k/2π scale” and the calculation formula of phase shifts are given. The physical meaning of the approximate analytical solution is discussed.

THE KLEIN–GORDON EQUATION WITH A COULOMB PLUS SCALAR POTENTIAL IN D DIMENSIONS

2004 ◽  
Vol 13 (03) ◽  
pp. 597-610 ◽  
Author(s):  
ZHONG-QI MA ◽  
SHI-HAI DONG ◽  
XIAO-YAN GU ◽  
JIANG YU ◽  
M. LOZADA-CASSOU
Keyword(s):  
Angular Momentum ◽  
Quantum Number ◽  
Coulomb Potential ◽  
Gordon Equation ◽  
Scalar Potential ◽  
Positive Energy ◽  
Angular Momentum Quantum Number ◽  
Klein Gordon ◽  
Klein Gordon Equation

The solutions of the Klein–Gordon equation with a Coulomb plus scalar potential in D dimensions are exactly obtained. The energy E(n,l,D) is analytically presented and the dependence of the energy E(n,l,D) on the dimension D is analyzed in some detail. The positive energy E(n,0,D) first decreases and then increases with increasing dimension D. The positive energy E(n,l D)(l≠0) increases with increasing dimension D. The dependences of the negative energies E(n,0,D) and E(n,l,D)(l≠0) on the dimension D are opposite to those of the corresponding positive energies E(n,0,D) and E(n,l,D)(l≠0). It is found that the energy E(n,0,D) is symmetric with respect to D=2 for D∈(0,4). It is also found that the energy E(n,l,D)(l≠0) is almost independent of the angular momentum quantum number l for large D and is completely independent of the angular momentum quantum number l if the Coulomb potential is equal to the scalar one. The energy E(n,l D) is almost overlapping for large D.

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