Antibound state for Klein-Gordon equation

Abstract

In this paper we construct an asymptotic for resonance of a wave function associated with the Klein-Gordon equation in presence of a potential barrier. To achieve this, we reduce the main differential equation to an integral equation using Green's function, Fourier transform and Neumann series.

Approximation to the dissipative Klein-Gordon equation

“…It was made some applications to the nonlinear Klein-Gordon equation [1]. It was found an antibound state for the Klein-Gordon equation [2]. In [3] was used a method with Green functions for constructing asymptotics of eigenvalues for the linear Klein-Gordon equation.…”