Adiabatic definitions of scattering matrix and inclusive scattering matrix

TL;DR

This paper explores adiabatic definitions of scattering matrices within the L-functional formalism, introducing the inclusive scattering matrix concept and relating it to inclusive cross sections and adiabatic quantum computing.

Contribution

It presents a novel adiabatic approach to defining scattering matrices and introduces the inclusive scattering matrix concept within the L-functional framework.

Findings

Defined the adiabatic scattering matrix in the L-functional formalism

Introduced the inclusive scattering matrix and its relation to cross sections

Connected the techniques to adiabatic quantum computing

Abstract

The main goal of present paper is to analyze the adiabatic definition of scattering matrix in the formalism of L-functionals. This definition leads to the notion of inclusive scattering matrix closely related to inclusive cross sections. We discuss this notion and the relation of our techniques to adiabatic quantum computing.