Mathematical Quantum Theory II: Schrödinger Operators ( CRM Proceedings & Lecture Notes )

Publication series :CRM Proceedings & Lecture Notes

Author: J. Feldman;R. Froese;L. M. Rosen  

Publisher: American Mathematical Society‎

Publication year: 2017

E-ISBN: 9781470439224

P-ISBN(Paperback): 9780821803660

Subject: O1 Mathematics

Keyword: 暂无分类

Language: ENG

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Mathematical Quantum Theory II: Schrödinger Operators

Description

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.

Chapter

Title page

Contents

Preface

Topics in spectral theory of Schrodinger operators on non-compact Riemannian manifolds with cusps

The general theory of 𝑁-body quantum systems

Lectures on large Coulomb systems

Spectral analysis of rank one perturbations and applications

Inverse potential scattering: A geometrical approach

New results on the long-range scattering

Spectral properties of the Kac operator in large dimension

Localization properties of continuous disordered systems in d-dimensions

Cluster WKB

The Selberg zeta function and scattering poles for Kleinian groups

Charge transport in quantum Hall systems and the index of projectors

Number theory, classical mechanics, and the theory of large atoms

Bound for the atomic ground state density at the nucleus

Spectral analysis of N-body Stark Hamiltonians

Ground state resonances for hydrogen in an intense magnetic field

On the scattering matrix for N-particle Hamiltonians

Back Cover

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