In- and out-states of scalar particles confined between two capacitor plates

Abstract

In this article, a non-commutative integration method of linear differential equations is used to consider the Klein-Gordon-Fock equation with the L-constant electric field with large L, and light cone variables are used to find new complete sets of its exact solutions. These solutions can be related by integral transformations to previously known solutions described by Gavrilov and Gitman (2016b). Then, using the general theory developed by Gavrilov and Gitman (2016a), this article constructs (in terms of new solutions) the so-called in- and out-states of scalar particles confined between two capacitor plates.

Keywords

• exact solutions
• Klein-Gordon-Fock equation
• potential step
• strong electric field
• non-commutative integration method