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Mathematical Physics of Quantum Mechanics

Selected and Refereed Lectures from QMath9

  • Joachim Asch
  • Alain Joye

Part of the Lecture Notes in Physics book series (LNP, volume 690)

Table of contents

  1. Front Matter
    Pages I-XXI
  2. Introduction

    1. Joachim Asch, Alain Joye
      Pages 1-1
  3. Quantum Dynamics and Spectral Theory

    1. Front Matter
      Pages I-XXI
    2. Artur Avila, Svetlana Jitomirskaya
      Pages 5-16
    3. Y. Avron
      Pages 17-17
    4. Volker Betz, Stefan Teufel
      Pages 19-32
    5. M. Büttiker, M. Moskalets
      Pages 33-44
    6. Horia D. Cornean, Arne Jensen, Valeriu Moldoveanu
      Pages 45-53
    7. Stanisław D. Głazek
      Pages 65-78
  4. Quantum Field Theory and Statistical Mechanics

    1. Front Matter
      Pages I-XXI
    2. Walid K. Abou-Salem, Jürg Fröhlich
      Pages 95-105
    3. Jan Dereziński, Krzysztof A. Meissner
      Pages 107-127
    4. Marco Merkli
      Pages 129-148
    5. Bruno Nachtergaele, Shannon Starr
      Pages 149-170
    6. Vincent Rivasseau
      Pages 171-178
  5. Quantum Kinetics and Bose-Einstein Condensation

    1. Front Matter
      Pages I-XXI
    2. M. Aizenman, E.H. Lieb, R. Seiringer, J.P. Solovej, J. Yngvason
      Pages 199-215
    3. Olivier Bokanowski, José L. López, Óscar Sánchez, Juan Soler
      Pages 217-232
    4. László Erd os, Manfred Salmhofer, Horng-Tzer Yau
      Pages 233-257
    5. J.V. Pulé, A.F. Verbeure, V.A. Zagrebnov
      Pages 259-278
    6. Benjamin Schlein
      Pages 279-293
  6. Disordered Systems and Random Operators

    1. Front Matter
      Pages I-XXI
    2. Jean-Michel Combes, François Germinet, Peter D. Hislop
      Pages 307-323
    3. Hermann Schulz-Baldes
      Pages 343-350
  7. Semiclassical Analysis and Quantum Chaos

  8. Back Matter
    Pages 484-484

About this book

Introduction

At the QMath9 meeting, young scientists learn about the state of the art in the mathematical physics of quantum systems. Based on that event, this book offers a selection of outstanding articles written in pedagogical style comprising six sections which cover new techniques and recent results on spectral theory, statistical mechanics, Bose-Einstein condensation, random operators, magnetic Schrödinger operators and much more. For postgraduate students, Mathematical Physics of Quantum Systems serves as a useful introduction to the research literature. For more expert researchers, this book will be a concise and modern source of reference.

Keywords

Eigenvalue calculus differential equation mathematical physics quantum chaos quantum dynamics quantum field theory quantum mechanics random operators scattering theory spectral theory

Editors and affiliations

  • Joachim Asch
    • 1
  • Alain Joye
    • 2
  1. 1.Département de MathématiquesUniversité du Sud Toulon Var Centre de physique théoriqueFrance
  2. 2.Institut Fourier Université Grenoble 1France

Bibliographic information

  • DOI https://doi.org/10.1007/b11573432
  • Copyright Information Springer 2006
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-540-31026-6
  • Online ISBN 978-3-540-34273-1
  • Series Print ISSN 0075-8450
  • Series Online ISSN 1616-6361
  • Buy this book on publisher's site