How to Renormalize the Schrodinger Equation

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 Schrödinger 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.

Lectures given at the VIII Jorge Andre Swieca Summer School (Brazil, 1997). One file producing 46 pages; LaTeX using World Scientific's sprocl.sty (not essential)

Cited by in corpus (34)

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• Effective field theories for heavy quarkonium
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• High-quality two-nucleon potentials up to fifth order of the chiral expansion
• Review of Heavy Quarkonium at weak coupling
• New applications of renormalization group methods in nuclear physics
• Towards grounding nuclear physics in QCD
• Hadronic Parity Violation
• What is ab initio in nuclear theory?
• Low-Energy Universality in Atomic and Nuclear Physics
• Spectra of helium clusters with up to six atoms using soft core potentials
• The Effective Theory of Self-Interacting Dark Matter
• Structure of Lambda(1405) and construction of KbarN local potential based on chiral SU(3) dynamics
• Infinite-cutoff renormalization of the chiral nucleon-nucleon interaction at N3LO
• Hidden charm molecules in finite volume
• Open Effective Field Theories from Deeply Inelastic Reactions
• The Spin of the Proton
• The renormalisation group and nuclear forces
• Eft for DFT
• An efficient basis set representation for calculating electrons in molecules
• Power counting and renormalization group invariance in the subtracted kernel method for the two-nucleon system
• The chiral structure of the neutron as revealed in electron and photon scattering
• Multi-fermion systems with contact theories
• Inverse scattering problem with a bare state
• Few-body physics in effective field theory
• Neutral pion photoproduction off 3H and 3He in chiral perturbation theory
• Quantum Mechanical Three-Body Problem with Short-Range Interactions
• Working Group Summary: Chiral Dynamics in Few-Nucleon Systems
• Ab initio models of atomic nuclei: challenges and new ideas
• Cosmic Four-Fermion Neutrino Secret Interactions, Enhancement and Total Cross Section
• Renormalization Group Invariance in the Subtractive Renormalization Approach to the NN Interactions
• Exotic open and hidden charm states
• Effective Field Theory for Cold Atoms