Exact Solution of Klein–Gordon Equation for Hua Plus Modified Eckart Potentials

2013 ◽  
Vol 54 (11) ◽  
pp. 2017-2025 ◽  
Author(s):  
H. Hassanabadi ◽  
B. H. Yazarloo ◽  
S. Zarrinkamar
Keyword(s):  
Exact Solution ◽  
Gordon Equation ◽  
Klein Gordon ◽  
Klein Gordon Equation

scholarly journals Exact solution of the Klein–Gordon equation in the presence of a minimal length

2009 ◽  
Vol 373 (14) ◽  
pp. 1239-1241 ◽  
Author(s):  
T.K. Jana ◽  
P. Roy
Keyword(s):  
Exact Solution ◽  
Gordon Equation ◽  
Minimal Length ◽  
Klein Gordon ◽  
Klein Gordon Equation

scholarly journals Resonant frequencies of the hydrodynamic vortex

2017 ◽  
Vol 26 (04) ◽  
pp. 1750035 ◽  
Author(s):  
H. S. Vieira
Keyword(s):  
Exact Solution ◽  
Complex Number ◽  
Gordon Equation ◽  
Exact Expression ◽  
Radial Part ◽  
Resonant Frequencies ◽  
Heun Functions ◽  
Klein Gordon ◽  
Klein Gordon Equation

We study the sound perturbation of the hydrodynamic vortex geometry and present an exact expression for the resonant frequencies (quasispectrum) of this geometry. Exact solution for the radial part of the covariant Klein–Gordon equation in this spacetime is obtained, and is given in terms of the double confluent Heun functions. We found that the resonant frequencies are complex number.

Exact solution of Klein–Gordon equation in fractional-dimensional space

2021 ◽  
Author(s):  
H. Merad ◽  
F. Merghadi ◽  
A. Merad
Keyword(s):  
Exact Solution ◽  
Gordon Equation ◽  
Special Functions ◽  
Dimensional Space ◽  
Confluent Hypergeometric Functions ◽  
Heisenberg Algebras ◽  
Klein Gordon ◽  
Free Case ◽  
Coulomb Type ◽  
Klein Gordon Equation

In this paper, we present an exact solution of the Klein–Gordon equation in the framework of the fractional-dimensional space, in which the momentum and position operators satisfying the R-deformed Heisenberg algebras. Accordingly, three essential problems have been solved such as: the free Klein–Gordon equation, the Klein–Gordon equation with mixed scalar and vector linear potentials and with mixed scalar and vector inversely linear potentials of Coulomb-type. For all these considered cases, the expressions of the eigenfunctions are determined and expressed in terms of the special functions: the Bessel functions of the first kind for the free case, the biconfluent Heun functions for the second case and the confluent hypergeometric functions for the end case, and the corresponding eigenvalues are exactly obtained.

Perturbed Coulomb Potentials in the Klein–Gordon Equation: Quasi-Exact Solution

2018 ◽  
Vol 59 (3) ◽  
Author(s):  
M. Baradaran ◽  
H. Panahi
Keyword(s):  
Exact Solution ◽  
Gordon Equation ◽  
Klein Gordon ◽  
Klein Gordon Equation ◽  
Coulomb Potentials
Sign in / Sign up

Export Citation Format

Share Document