Compatible Klein-Gordon equations for a system of two mutually interacting particles in an external field

1987 ◽  
Vol 3 (2) ◽  
pp. 41-48 ◽  
Author(s):  
J. Bijtebier
Keyword(s):  
External Field ◽  
Interacting Particles ◽  
Klein Gordon

Motion of a Klein-Gordon kink in an external field

1990 ◽  
Vol 84 (3) ◽  
pp. 930-933 ◽  
Author(s):  
V. D. Tsukanov
Keyword(s):  
External Field ◽  
Klein Gordon

scholarly journals Wave-turbulence description of interacting particles: Klein-Gordon model with a Mexican-hat potential

2015 ◽  
Vol 92 (1) ◽  
Author(s):  
Basile Gallet ◽  
Sergey Nazarenko ◽  
Bérengère Dubrulle
Keyword(s):  
Wave Turbulence ◽  
Interacting Particles ◽  
Mexican Hat ◽  
Klein Gordon

scholarly journals Energy transmission in Hamiltonian systems of globally interacting particles with Klein-Gordon on-site potentials

2019 ◽  
Vol 1 (2) ◽  
pp. 343-358 ◽  
Author(s):  
Jorge E. Macías-Díaz ◽  
◽  
Anastasios Bountis ◽  
Helen Christodoulidi ◽  
◽  
...  
Keyword(s):  
Hamiltonian Systems ◽  
Interacting Particles ◽  
Energy Transmission ◽  
Klein Gordon

scholarly journals Eigenvalues of the Klein-Gordon equation

1983 ◽  
Vol 26 (2) ◽  
pp. 181-190 ◽  
Author(s):  
Branko Najman
Keyword(s):  
External Field ◽  
Electrostatic Potential ◽  
Gordon Equation ◽  
Relativistic Particle ◽  
Electromagnetic Potential ◽  
Speed Of Light ◽  
Klein Gordon ◽  
Image Position ◽  
Klein Gordon Equation

Consider the Klein-Gordon equationwhere q, Aj are real valued functions on Rn, m and e positive constants. Equation (1) describes the motion of a relativistic particle of mass m and charge e in an external field described by the electrostatic potential q and the electromagnetic potential A = (Aj); units are chosen so that the speed of light is one.

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