Title from publisher's bibliographic system (viewed on 05 Oct 2015).

1. Overview. 1.1. Historical and phenomenological aspects. 1.2. Rigorous results -- 2. Two-body problems. 2.1. General properties. 2.2. Order of energy levels. 2.3. Spacing of energy levels. 2.4. The wave function at the origin, the kinetic energy, mean square radius etc. 2.5. Relativistic generalizations of results on level ordering. 2.6. The inverse problem for confining potentials. 2.7. Counting the number of bound states -- 3. Miscellaneous results of the three-body and N-body problem -- App. A. Supersymmetric quantum mechanics -- App. B. Proofs of theorems on angular excitations -- App. C. The Sobolev inequality.

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.