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Mathematical Quantum Theory II: Schrödinger Operators
Edited by: J. Feldman, R. Froese, and L. M. Rosen, University of British Columbia, Vancouver, BC, Canada
A co-publication of the AMS and Centre de Recherches Mathématiques.
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CRM Proceedings & Lecture Notes
1995; 304 pp; softcover
Volume: 8
ISBN-10: 0-8218-0366-2
ISBN-13: 978-0-8218-0366-0
List Price: US$96
Member Price: US$76.80
Order Code: CRMP/8
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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

  • S. Agmon -- Topics in spectral theory of Schrodinger operators on non-compact Riemannian manifolds with cusps
  • W. Hunziker and I. M. Sigal -- The general theory of \(N\)-body quantum systems
  • I. M. Sigal -- Lectures on large Coulomb systems
  • B. Simon -- Spectral analysis of rank one perturbations and applications
  • V. Enss and R. A. Weder -- Inverse potential scattering: A geometrical approach
  • C. Gerard -- New results on the long-range scattering
  • B. Helffer -- Spectral properties of the Kac operator in large dimension
  • J. M. Combes and P. D. Hislop -- Localization properties of continuous disordered systems in d-dimensions
  • T. A. Osborn and F. H. Molzahn -- Cluster WKB
  • P. A. Perry -- The Selberg zeta function and scattering poles for Kleinian groups
  • R. Seiler -- Charge transport in quantum hall systems and the index of projectors
  • L. A. Seco -- Number theory, classical mechanics, and the theory of large atoms
  • H. Siedentop -- Bound for the atomic ground state density at the nucleus
  • I. W. Herbst and E. Skibsted -- Spectral analysis of N-body Stark Hamiltonians
  • R. G. Froese and R. Waxler -- Ground state resonances for hydrogen in an intense magnetic field
  • D. R. Yafaev -- On the scattering matrix for N-particle Hamiltonians
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