Results 11 to 20 of about 96,126 (203)
Optimal prediction and the Klein-Gordon equation. [PDF]
Proc Natl Acad Sci U S A, 1999 The method of optimal prediction is applied to calculate the future means of solutions to the Klein–Gordon equation. It is shown that, in an appropriate probability space, the difference between the average of all solutions that satisfy certain constraints at time t = 0 and the average computed by an approximate ...
Hald OH.
europepmc +6 more sources
Quaternionic Klein–Gordon equation [PDF]
The European Physical Journal Plus, 2021 We solve Klein-Gordon equation (KGE) in the framework of the real Hilbert space approach to quaternionic quantum mechanics ($\mathbbm H$QM). The presented solution is the simplest ever obtained for quaternionic quantum theories, and the closest to the complex solution.
openaire +2 more sources
Integrability of Klein–Gordon Equations [PDF]
SIAM Journal on Mathematical Analysis, 1986 This is one more paper in the long series of Painlevé analyses currently being performed. In view of the great interest in the Klein- Gordon equation, however, the result is of more significance than some other ones. In addition to the obviously solvable equations (sine-Gordon and sinh-Gordon; Liouville) there is a fourth in which two exponentials ...
Clarkson, P +3 more
openaire +3 more sources
From the Klein–Gordon–Zakharov system to the Klein–Gordon equation
Mathematical Methods in the Applied Sciences, 2016 In a singular limit, the Klein–Gordon (KG) equation can be derived from the Klein–Gordon–Zakharov (KGZ) system. We point out that for the original system posed on a d‐dimensional torus, the solutions of the KG equation do not approximate the solutions of the KGZ system.
Daub, Markus +2 more
openaire +6 more sources
A Novel Interpretation of the Klein-Gordon Equation [PDF]
Foundations of Physics, 2007 v3: Extensively revised version accepted for publication by Found ...
K. B. Wharton +5 more
openaire +3 more sources
A Search on the Klein–Gordon Equation [PDF]
Chinese Physics Letters, 2006 The s-wave Klein-Gordon equation for the bound states is separated in two parts to see clearly the relativistic contributions to the solution in the non-relativistic limit. The reliability of the model is discussed with the specifically chosen two examples.
openaire +2 more sources
The Feynman problem for the Klein–Gordon equation [PDF]
Séminaire Laurent Schwartz — EDP et applications, 2022 We report on the well-posedness of the Feynman problem for the Klein–Gordon equation on asymptotically Minkowski spacetimes. The main result is the invertibility of the Klein–Gordon operator with Feynman conditions at infinite times. Furthermore, the inverse is shown to coincide with the Duistermaat–Hörmander Feynman parametrix modulo smoothing terms.
Gérard, Christian, Wrochna, Michał
openaire +3 more sources
CRYPTO-HERMITIAN APPROACH TO THE KLEIN–GORDON EQUATION
Acta Polytechnica, 2017 We explore the Klein-Gordon equation in the framework of crypto-Hermitian quantum mechanics. Solutions to common problems with probability interpretation and indefinite inner product of the Klein-Gordon equation are proposed.
Iveta Semoradova
doaj +1 more source
A new analysis for Klein-Gordon model with local fractional derivative
Alexandria Engineering Journal, 2020 This work adopts Yang’s local fractional derivative to define the fractional Klein-Gordon equation in a fractal space or microgravity space. The variational principle of local fractional Klein-Gordon equation is successfully established via fractional ...
KangLe Wang, KangJia Wang
doaj +1 more source
Scattering for the quadratic Klein–Gordon equations [PDF]
Nonlinear Differential Equations and Applications NoDEA, 2020 30 pages; corrected some ...
Zihua Guo, Jia Shen
openaire +2 more sources