Grosse H., Martin A. Particle Physics and the Schrödinger Equation

Cambridge University Press, 2005. — 180 pp. — (Cambridge Monographs on Particle Physics, Nuclear Physics and Cosmology). — ISBN: 9780521392259 (Hardback) 9780521017787 (Paperback).This monograph introduces modern developments on the bound state problem in Schrödinger potential theory and its applications in particle physics. The Schrödinger equation provides a framework for dealing with energy levels of N-body systems. It was a cornerstone of the quantum revolution in physics of the twenties but re-emerged in the eighties as a powerful tool in the study of spectra and decay properties of mesons and baryons. This book begins with a detailed study of two-body problems, including discussion of general properties, level ordering problems, energy level spacing and decay properties. Following chapters treat relativistic generalisations, and the inverse problem. Finally, 3-body problems and N-body problems are dealt with. Applications in particle and atomic physics are considered, including quarkonium spectroscopy. The emphasis throughout is on showing how the theory can be tested by experiment. Many references are provided.First book to give a modern exposition of Schrödinger theory
Authors both leaders in material presented in the book
Appeal to both theorists and experimentalistsTable of ContentsTwo-body Problems:
General properties
Order of energy levels
Spacing of energy levels
Miscellaneous results on the wave function at the origin
Relativistic generalizations of results on level ordering
The inverse problem for confining potentials
Counting the number of bound states
Miscellaneous Results On The 3-body and N-body Problem