**CRM Proceedings & Lecture Notes**

Volume: 8;
1995;
304 pp;
Softcover

MSC: Primary 81;

Print ISBN: 978-0-8218-0366-0

Product Code: CRMP/8

List Price: $101.00

Individual Member Price: $80.80

**Electronic ISBN: 978-1-4704-3922-4
Product Code: CRMP/8.E**

List Price: $101.00

Individual Member Price: $80.80

# Mathematical Quantum Theory II: Schrödinger Operators

Share this page *Edited by *
*J. Feldman; R. Froese; L. M. Rosen*

A co-publication of the AMS and Centre de Recherches Mathématiques

The articles in this collection constitute the proceedings of the Canadian Mathematical Society Annual Seminar on Mathematical Quantum Theory, held in Vancouver in August 1993. The meeting was run as a research-level summer school concentrating on two related areas of contemporary mathematical physics. The first area, quantum field theory and many-body theory, is covered in volume 1 of these proceedings. The second area, treated in the present volume, is Schrödinger operators. The meeting featured a series of four-hour mini-courses, designed to introduce students to the state of the art in particular areas, and thirty hour-long expository lectures. With contributions from some of the top experts in the field, this book is an important resource for those interested in activity at the frontiers of mathematical quantum theory.

Titles in this series are co-published with the Centre de Recherches Mathématiques.

#### Readership

Research mathematicians.

# Table of Contents

## Mathematical Quantum Theory II: Schrodinger Operators

- Cover Cover11
- Title page iii4
- Contents v6
- Preface vii8
- Topics in spectral theory of Schrodinger operators on non-compact Riemannian manifolds with cusps 110
- The general theory of 𝑁-body quantum systems 3544
- Lectures on large Coulomb systems 7382
- Spectral analysis of rank one perturbations and applications 109118
- Inverse potential scattering: A geometrical approach 151160
- New results on the long-range scattering 163172
- Spectral properties of the Kac operator in large dimension 179188
- Localization properties of continuous disordered systems in d-dimensions 213222
- Cluster WKB 227236
- The Selberg zeta function and scattering poles for Kleinian groups 243252
- Charge transport in quantum Hall systems and the index of projectors 253262
- Number theory, classical mechanics, and the theory of large atoms 265274
- Bound for the atomic ground state density at the nucleus 271280
- Spectral analysis of N-body Stark Hamiltonians 277286
- Ground state resonances for hydrogen in an intense magnetic field 285294
- On the scattering matrix for N-particle Hamiltonians 293302
- Back Cover Back Cover1314