Some new solutions to the Klein-Gordon equation in 1-1D space-time in the presence of time dependent potentials

TL;DR

This paper presents three exact solutions to the Klein-Gordon equation in 1+1D space-time with various time-dependent potentials, expanding analytical understanding of relativistic quantum equations under dynamic conditions.

Contribution

It introduces new exact solutions for the Klein-Gordon equation with different time-dependent potentials, a novel analytical contribution.

Findings

Three exact solutions for Klein-Gordon equation with time-dependent potentials

Solutions include scalar and electric potential cases

Enhances analytical methods for relativistic quantum equations

Abstract

We find three exact solutions to the Klein-Gordon equation in 1-1 dimensional space-time for different time dependent potentials. In two cases we consider a time dependent scalar potential and in one case a time dependent electric potential.