Particle Physics and the Schrödinger Equation

Introduces theory and applications of the bound state problem in Schrödinger theory in particle physics.

Harald Grosse (Author), Andri Martin (Author)

9780521017787, Cambridge University Press

Paperback, published 15 December 2005

180 pages, 14 b/w illus. 10 tables
24.5 x 17 x 1 cm, 0.294 kg

'The book is clearly written, general results are illustrated by concrete applications to atomic and particle physics and the authors do not assume a knowledge of advanced mathematics. All that make this book very useful and valuable for theoretical and experimental particle and atomic physicists, especially for newcomers to the field.' Robert Alicki, Zentralblatt für Mathematik

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.

Part I. Introduction
Part II. Two-body Problems: 1. General properties
2. Order of energy levels
3. Spacing of energy levels
4. Miscellaneous results on the wave function at the origin
5. Relativistic generalizations of results on level ordering
6. The inverse problem for confining potentials
7. Counting the number of bound states
Part III. Miscellaneous Results On The 3-body and N-body Problem: Appendices
References
Index.

Subject Areas: Particle & high-energy physics [PHP]