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Einstein's relation E=Mc^2 between the energy E and the mass M is the cornerstone of the relativity theory. This relation is often derived in a context of the relativistic theory for closed systems wh...
In this article we prove that the Klein-Gordon equation in the de Sitter spacetime obeys the Huygens' principle if and only if the physical mass $m$ of the scalar field and the dimension $n$ of the sp...
We follow and modify the Feshbach-Villars formalism by separating the Klein-Gordon equation into two coupled time-dependent Schr¨odinger equations for particle and antiparticle wave function componen...
The one-dimensional effective-mass Klein-Gordon equation for the real, and non-\textrm{PT}-symmetric/non-Hermitian generalized Morse potential is solved by taking a series expansion for the wave funct...
We study the thermalization of the classical Klein-Gordon equation under a u^4 interaction. We numerically show that even in the presence of strong nonlinearities, the local thermodynamic equilibrium ...
We present a new approximation scheme for the centrifugal term to obtain a quasi-exact analytical bound state solutions within the framework of the position-dependent effective mass radial Klein-Gordo...
In this paper we discuss the nonlinear Klein-Gordon equation and we derive the new traveling wave solutions by applying trigonometric function series method. Also, they are complex linear combinations...

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