Klein-Gordon Theory in Noncommutative Phase Space

Noncommutative Kaluza-Klein Theory

Efforts have been made recently to reformulate traditional Kaluza-Klein theory by using a generalized definition of a higher-dimensional extended space-time. Both electromagnetism and gravity have been studied in this context. We review some of the models which have been proposed, with a special effort to keep the mathematical formalism to a very minimum.

On the Dirac-Klein-Gordon Equations in Three Space Dimensions

We establish a local existence result for Dirac-Klein-Gordon equations in three space dimensions, employing a null form estimate and a fixed point argument. 0. Introduction and Main Results. In the present work, we like to study the Cauchy problem for the Dirac-Klein-Gordon equations. The unknown quantities are a spinor field ψ : R × R 7→ C and a scalar field φ : R × R 7→ R. The evolution equat...

Scattering Theory for the Coupled Klein-gordon-schrödinger Equations in Two Space Dimensions

We study the scattering theory for the coupled KleinGordon-Schrödinger equation with the Yukawa type interaction in two space dimensions. The scattering problem for this equation belongs to the borderline between the short range case and the long range one. We show the existence of the wave operators to this equation without any size restriction on the Klein-Gordon component of the final state.

Scattering Theory for the Coupled Klein-gordon-schrödinger Equations in Two Space Dimensions Ii

We study the scattering theory for the coupled KleinGordon-Schrödinger equation with the Yukawa type interaction in two space dimensions. The scattering problem for this equation belongs to the borderline between the short range case and the long range one. We show the existence of the wave operators to this equation without any size restriction on the Klein-Gordon component of the final state ...

WAVELET SOLUTIONS OF THE KLEIN-GORDON EQUATION