Renormalisation in Quantum Mechanics

TL;DR

This paper introduces the renormalisation group in quantum mechanics, focusing on scattering of two particles, and illustrates how it helps build effective theories for few-nucleon systems.

Contribution

It presents a framework applying the renormalisation group to nonrelativistic scattering, highlighting its role in constructing effective theories for few-nucleon systems.

Findings

Provides a simple example illustrating renormalisation group features

Establishes a framework for effective theories in nuclear physics

Connects renormalisation concepts to scattering processes

Abstract

This lecture provides an introduction to the renormalisation group as applied to scattering of two nonrelativistic particles. As well as forming a framework for constructing effective theories of few-nucleon systems, these ideas also provide a simple example which illustrates general features of the renormalisation group.