scholarly journals Spectrum and the Jost solution of discrete impulsive Klein-Gordon equation with hyperbolic eigenparameter

2021 ◽  
Author(s):  
Turhan KÖPRÜBAŞI
Keyword(s):  
Gordon Equation ◽  
Klein Gordon ◽  
Klein Gordon Equation ◽  
Jost Solution

scholarly journals A note on the spectrum of discrete Klein-Gordon s-wave equation with eigenparameter dependent boundary condition

Filomat ◽  
2019 ◽  
Vol 33 (2) ◽  
pp. 449-455 ◽  
Author(s):  
Nimet Coskun ◽  
Nihal Yokus
Keyword(s):  
Boundary Condition ◽  
Wave Equation ◽  
Boundary Value Problem ◽  
Gordon Equation ◽  
S Wave ◽  
Klein Gordon ◽  
Complex Sequences ◽  
Quantitative Properties ◽  
Klein Gordon Equation ◽  
Jost Solution

This paper is concerned with the boundary value problem (BVP) for the discrete Klein-Gordon equation ?(an-1?yn-1)+(vn-?)2 yn = 0; n ? N and the boundary condition (?0+?1?)y1+(?0+?1)y0 = 0 where (an),(vn) are complex sequences, ?i, ?i ? C, i=0,1 and ? is a eigenparameter. The paper presents Jost solution, eigenvalues, spectral singularities and states some theorems concerning quantitative properties of the spectrum of this BVP under the condition ?n?N exp(?n?)(|1-an| + |vn|) < ? for ? > 0 and 1/2 ? ? ? 1.

scholarly journals Fractional Klein-Gordon equation with singular mass

2021 ◽  
Vol 143 ◽  
pp. 110579
Author(s):  
Arshyn Altybay ◽  
Michael Ruzhansky ◽  
Mohammed Elamine Sebih ◽  
Niyaz Tokmagambetov
Keyword(s):  
Gordon Equation ◽  
Klein Gordon ◽  
Klein Gordon Equation

scholarly journals Bound states of a Klein–Gordon particle in the presence of a smooth potential well

2020 ◽  
Vol 35 (23) ◽  
pp. 2050140
Author(s):  
Eduardo López ◽  
Clara Rojas
Keyword(s):  
Bound States ◽  
Gordon Equation ◽  
Bound State ◽  
Potential Well ◽  
One Dimensional ◽  
Smooth Potential ◽  
Klein Gordon ◽  
The One ◽  
Potential Parameters ◽  
Klein Gordon Equation

We solve the one-dimensional time-independent Klein–Gordon equation in the presence of a smooth potential well. The bound state solutions are given in terms of the Whittaker [Formula: see text] function, and the antiparticle bound state is discussed in terms of potential parameters.

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