Scattering Theory with Path Integrals

TL;DR

This paper rederives path-integral formulations of scattering theory from traditional potential scattering expressions, revealing new relations and insights into the $T$-matrix and its derivatives.

Contribution

It introduces new relations in scattering theory by connecting traditional $T$-matrix expressions with recent path-integral formulations.

Findings

New relations between $T$-matrix and path integrals

Reinterpretation of potential scattering in path-integral framework

Extension of existing formulations to include derivatives of the $T$-matrix

Abstract

Starting from well-known expressions for the $T$-matrix and its derivative in standard nonrelativistic potential scattering I rederive recent path-integral formulations due to Efimov and Barbashov et al. Some new relations follow immediately.