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Mathematical Physics of Quantum Mechanics

Selected and Refereed Lectures from QMath9

  • Book
  • © 2006

Overview

Editors:
  1. Joachim Asch

    1. Département de Mathématiques, Université du Sud Toulon Var Centre de physique théorique, France

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    You can also search for this editor in PubMed   Google Scholar

  2. Alain Joye

    1. Institut Fourier Université Grenoble 1, France

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    You can also search for this editor in PubMed   Google Scholar

  • Papers pedagogically well presented
  • Many well known authors

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

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Table of contents (33 chapters)

  1. Front Matter

    Pages I-XXI
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  2. Introduction

    1. Introduction

      • Joachim Asch, Alain Joye
      Pages 1-1

  3. Quantum Dynamics and Spectral Theory

    1. Front Matter

      Pages I-XXI
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    2. Solving the Ten Martini Problem

      • Artur Avila, Svetlana Jitomirskaya
      Pages 5-16

    3. Swimming Lessons for Microbots

      • Y. Avron
      Pages 17-17

    4. Landau-Zener Formulae from Adiabatic Transition Histories

      • Volker Betz, Stefan Teufel
      Pages 19-32

    5. Scattering Theory of Dynamic Electrical Transport

      • M. Büttiker, M. Moskalets
      Pages 33-44

    6. The Landauer-Büttiker Formula and Resonant Quantum Transport

      • Horia D. Cornean, Arne Jensen, Valeriu Moldoveanu
      Pages 45-53

    7. Point Interaction Polygons: An Isoperimetric Problem

      • Pavel Exner
      Pages 55-64

    8. Limit Cycles in Quantum Mechanics

      • Stanisław D. Głazek
      Pages 65-78

    9. Cantor Spectrum for Quasi-Periodic Schrödinger Operators

      • Joaquim Puig
      Pages 79-91

  4. Quantum Field Theory and Statistical Mechanics

    1. Front Matter

      Pages I-XXI
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    2. Adiabatic Theorems and Reversible Isothermal Processes

      • Walid K. Abou-Salem, Jürg Fröhlich
      Pages 95-105

    3. Quantum Massless Field in 1+1 Dimensions

      • Jan Dereziński, Krzysztof A. Meissner
      Pages 107-127

    4. Stability of Multi-Phase Equilibria

      • Marco Merkli
      Pages 129-148

    5. Ordering of Energy Levels in Heisenberg Models and Applications

      • Bruno Nachtergaele, Shannon Starr
      Pages 149-170

    6. Interacting Fermions in 2 Dimensions

      • Vincent Rivasseau
      Pages 171-178

    7. On the Essential Spectrum of the Translation Invariant Nelson Model

      • Jacob Schach-Møller
      Pages 179-195

  5. Quantum Kinetics and Bose-Einstein Condensation

    1. Front Matter

      Pages I-XXI
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    2. Bose-Einstein Condensation as a Quantum Phase Transition in an Optical Lattice

      • M. Aizenman, E.H. Lieb, R. Seiringer, J.P. Solovej, J. Yngvason
      Pages 199-215
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Keywords

About this book

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.

Editors and Affiliations

  • Département de Mathématiques, Université du Sud Toulon Var Centre de physique théorique, France

    Joachim Asch

  • Institut Fourier Université Grenoble 1, France

    Alain Joye

Bibliographic Information

  • Book Title: Mathematical Physics of Quantum Mechanics

  • Book Subtitle: Selected and Refereed Lectures from QMath9

  • Editors: Joachim Asch, Alain Joye

  • Series Title: Lecture Notes in Physics

  • DOI: https://doi.org/10.1007/b11573432

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2006

  • Hardcover ISBN: 978-3-540-31026-6Published: 13 April 2006

  • Softcover ISBN: 978-3-642-42157-0Published: 06 November 2014

  • eBook ISBN: 978-3-540-34273-1Published: 09 September 2006

  • Series ISSN: 0075-8450

  • Series E-ISSN: 1616-6361

  • Edition Number: 1

  • Number of Pages: XXI, 462

  • Topics: Mathematical Methods in Physics, Quantum Physics, Analysis

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