scholarly journals Ladder operators for the Klein-Gordon equation with a scalar curvature term

2018 ◽  
Vol 97 (2) ◽  
Author(s):  
Wolfgang Mück
Keyword(s):  
Scalar Curvature ◽  
Gordon Equation ◽  
Ladder Operators ◽  
Curvature Term ◽  
Klein Gordon ◽  
Klein Gordon Equation

scholarly journals Einstein-Klein-Gordon System in Higher Dimensional

2021 ◽  
Vol 32 (2) ◽  
pp. 16-19
Author(s):  
Mirda Prisma Wijayanto ◽  
Fiki Taufik Akbar Sobar ◽  
Bobby Eka Gunara
Keyword(s):  
Scalar Curvature ◽  
Einstein Equation ◽  
Ricci Tensor ◽  
Gordon Equation ◽  
Higher Dimensional ◽  
Klein Gordon ◽  
Klein Gordon Equation

In this present work, we study the Einstein equation coupled with the nonlinear Klein-Gordon equation. We obtain Ricci tensor, scalar curvature, and Einstein equation of the Einstein-Klein-Gordon system in higher dimensional. If we put D=4, our formulations reduce to the four dimensional Einstein-Klein-Gordon system.

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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