How to Renormalize the Schrodinger Equation
Peter Lepage (Cornell University)
TL;DR
This paper explains how modern renormalization techniques can be applied to the Schrödinger equation and related quantum theories, providing insights into effective models in nuclear and particle physics.
Contribution
It introduces the application of renormalization and effective field theories to nonrelativistic quantum mechanics and potential models in nuclear physics.
Findings
Renormalization methods clarify potential models in quantum mechanics.
Effective field theories are used to analyze nucleon-nucleon scattering.
Rigorous potential models can be derived for QED, QCD, and nuclear physics.
Abstract
These lectures illustrate the key ideas of modern renormalization theory and effective field theories in the context of simple nonrelativistic quantum mechanics and the Schr\"odinger equation. They also discuss problems in QED, QCD and nuclear physics for which rigorous potential models can be derived using renormalization techniques. They end with an analysis of nucleon-nucleon scattering based effective theory.
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Taxonomy
TopicsQuantum Chromodynamics and Particle Interactions · Quantum, superfluid, helium dynamics · Cold Atom Physics and Bose-Einstein Condensates