Results 31 to 40 of about 96,126 (203)
Duality family of scalar field
Nuclear Physics B, 2021 We show that there exists a duality family of self-interacting massive scalar fields. The scalar fields in a duality family are related by a duality transformation.
Wen-Du Li, Wu-Sheng Dai
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, 2014 In this paper we discuss some exact results related to the fractional Klein--Gordon equation involving fractional powers of the D'Alembert operator. By means of a space-time transformation, we reduce the fractional Klein--Gordon equation to a fractional ...
Garra, Roberto +2 more
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Partial Differential Equations in Applied MathematicsThe Klein–Gordon equation is one of the fundamental equations of mathematical physics. Therefore, it is important to have exact solutions to this equation. There are many methods for constructing exact solutions to the Klein–Gordon equation.
Vitalii Shpakivskyi
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East European Journal of Physics, 2018 The solutions of generalized Klein-Gordon equations are considered. The generalizations of the Klein-Gordon equation allow one to derive convergent integrals for the Green functions of these equations.
Yu. V. Kulish
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On the Klein-Gordon equation and hyperbolic pseudoanalytic function theory
, 2007 Elliptic pseudoanalytic function theory was considered independently by Bers and Vekua decades ago. In this paper we develop a hyperbolic analogue of pseudoanalytic function theory using the algebra of hyperbolic numbers.
Bers L +14 more
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Klein–Gordon equation in hydrodynamical form [PDF]
Journal of Mathematical Physics, 2010 We follow and modify the Feshbach–Villars formalism by separating the Klein–Gordon equation into two coupled time-dependent Schrödinger equations for particle and antiparticle wave function components with positive probability densities. We find that the equation of motion for the probability densities is in the form of relativistic hydrodynamics where
openaire +3 more sources
Abstract and Applied Analysis, 2014 We study two nonlinear partial differential equations, namely, the symmetric regularized long wave equation and the Klein-Gordon-Zakharov equations. The Lie symmetry approach along with the simplest equation and exp-function methods are used to obtain ...
Isaiah Elvis Mhlanga +1 more
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Electromagnetic Klein-Gordon and Dirac equations in scale relativity
, 2010 We present a new step in the foundation of quantum field theory with the tools of scale relativity. Previously, quantum motion equations (Schr\"odinger, Klein-Gordon, Dirac, Pauli) have been derived as geodesic equations written with a quantum-covariant ...
Célérier, Marie-Noëlle +1 more
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The Klein-Gordon Equation of a Rotating Charged Hairy Black Hole in (2+1) Dimensions
, 2015 In this paper, we consider the Klein-Gordon equation in a 3D charged rotating hairy black hole background to study behavior of a massive scalar field. In the general case we find periodic-like behavior for the scalar field which may be vanishes at the ...
Pourhassan, B.
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Klein-Gordon potential in characteristic coordinates
Demonstratio MathematicaBy the Klein-Gordon potential, we call a convolution-type integral with a kernel, which is the fundamental solution of the Klein-Gordon equation and also a solution of the Cauchy problem to the same equation.
Kal’menov Tynysbek, Suragan Durvudkhan
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