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Mathematical Results in Quantum Mechanics

International Conference in Blossin (Germany), May 17–21, 1993

  • M. Demuth
  • P. Exner
  • H. Neidhardt
  • V. Zagrebnov

Part of the Operator Theory: Advances and Applications book series (OT, volume 70)

Table of contents

  1. Front Matter
    Pages i-x
  2. Schrödinger and Dirac operators

  3. Generalized Schrödinger operators

    1. Front Matter
      Pages 61-61
    2. Rainer Hempel, Jürgen Voigt
      Pages 63-72
    3. J.-P. Antoine, P. Exner, P. Šeba, J. Shabani
      Pages 79-87
    4. P. Duclos, B. Meller
      Pages 89-105
    5. Pavel Šťovíček
      Pages 107-112
    6. Markus Klein
      Pages 113-119
  4. Stochastic spectral analysis

    1. Front Matter
      Pages 121-121
    2. Michael Demuth, Jan van Casteren
      Pages 123-132
    3. Michael Demuth, W. Kirsch, I. McGillivray
      Pages 133-135
    4. El Maati Ouhabaz
      Pages 137-141
    5. V. A. Liskevich, Yu. A. Semenov
      Pages 143-148
  5. Many-body problems and statistical physics

  6. Chaos

    1. Front Matter
      Pages 257-257
    2. J. Dittrich, P. Duclos, P. Šeba
      Pages 259-262
    3. Karol Życzkowski
      Pages 277-280
  7. Operator theory and its application

  8. Back Matter
    Pages 357-358

About this book

Introduction

The last decades have demonstrated that quantum mechanics is an inexhaustible source of inspiration for contemporary mathematical physics. Of course, it seems to be hardly surprising if one casts a glance toward the history of the subject; recall the pioneering works of von Neumann, Weyl, Kato and their followers which pushed forward some of the classical mathematical disciplines: functional analysis, differential equations, group theory, etc. On the other hand, the evident powerful feedback changed the face of the "naive" quantum physics. It created a contem­ porary quantum mechanics, the mathematical problems of which now constitute the backbone of mathematical physics. The mathematical and physical aspects of these problems cannot be separated, even if one may not share the opinion of Hilbert who rigorously denied differences between pure and applied mathemat­ ics, and the fruitful oscilllation between the two creates a powerful stimulus for development of mathematical physics. The International Conference on Mathematical Results in Quantum Mechan­ ics, held in Blossin (near Berlin), May 17-21, 1993, was the fifth in the series of meetings started in Dubna (in the former USSR) in 1987, which were dedicated to mathematical problems of quantum mechanics. A primary motivation of any meeting is certainly to facilitate an exchange of ideas, but there also other goals. The first meeting and those that followed (Dubna, 1988; Dubna, 1989; Liblice (in the Czech Republic), 1990) were aimed, in particular, at paving ways to East-West contacts.

Keywords

Generator STATISTICA operator theory quantum mechanics quantum physics statistical physics

Editors and affiliations

  • M. Demuth
    • 1
  • P. Exner
    • 2
  • H. Neidhardt
    • 3
  • V. Zagrebnov
    • 4
  1. 1.Technische Universität ClausthalInstitut für MathematikClausthal-ZellerfeldGermany
  2. 2.Laboratory of Theoretical PhysicsJoint Institute for Nuclear ResearchMoscowRussia
  3. 3.Fachbereich Mathematik MA 7-2Technische Universität BerlinBerlinGermany
  4. 4.Université d’Aix-Marseille II etCentre de Physique ThéoriqueMarseille Cedex 9France

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-0348-8545-4
  • Copyright Information Springer Basel AG 1994
  • Publisher Name Birkhäuser, Basel
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-0348-9673-3
  • Online ISBN 978-3-0348-8545-4
  • Series Print ISSN 0255-0156
  • Series Online ISSN 2296-4878
  • Buy this book on publisher's site
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