An historical prolegomenon to the occurrence of the resonance dual models: the Watson-Sommerfeld transform

TL;DR

This paper explores the historical development of resonance dual models in physics, focusing on Regge's 1959 work and the mathematical methods used to establish dispersion relations in potential scattering.

Contribution

It provides a historical analysis of the mathematical techniques that influenced the early formulation of resonance dual models before string theory.

Findings

Highlights the role of Regge's 1959 work in the development of dual models.

Analyzes the mathematical methods used in early resonance models.

Connects historical context to modern theoretical physics developments.

Abstract

We would like to discuss, within the inherent historical context, upon one of the main works of fundamental physics which has led to the formulation of the early resonance dual models prior to string theory. In fact, we shall focus on certain aspects of the fundamental Tullio Regge work of 1959, to be precise, on certain mathematical methods handled by him to pursue his original intentions mainly motivated to prove some double dispersion relations into the framework of non-relativistic potential scattering.