Approximate analytical solutions of the Klein–Gordon equation with scalar and vector Eckart potentials

2008 ◽  
Vol 78 (1) ◽  
pp. 015006 ◽  
Author(s):  
Ying Zhang
Keyword(s):  
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.

Approximate Analytical Solutions of the Klein-Gordon Equation with an Exponential-type Potential

2015 ◽  
Vol 65 (8) ◽  
pp. 825-836 ◽  
Author(s):  
Akpan N. IKOT* ◽  
Hillary P. OBONG ◽  
Tamunoimi M. ABBEY ◽  
Joy D. OLISA
Keyword(s):  
Exponential Type ◽  
Analytical Solutions ◽  
Gordon Equation ◽  
Approximate Analytical Solutions ◽  
Klein Gordon ◽  
Type Potential ◽  
Klein Gordon Equation
Sign in / Sign up

Export Citation Format

Share Document