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Mathematical Results in Quantum Mechanics

QMath7 Conference, Prague, June 22–26, 1998

  • Jaroslav Dittrich
  • Pavel Exner
  • Miloš Tater

Part of the Operator Theory Advances and Applications book series (OT, volume 108)

Table of contents

  1. Front Matter
    Pages i-x
  2. Plenary talks

    1. Front Matter
      Pages 1-1
    2. J. E. Avron, A. Elgart
      Pages 3-12
    3. Fritz Gesztesy, Konstantin A. Makarov, Serguei N. Naboko
      Pages 59-90
    4. S. T. Kuroda, Hiroshi Nagatani
      Pages 99-105
    5. Rafael del Rio, Alexei Poltoratski
      Pages 149-159
    6. Jakob Yngvason
      Pages 161-180
  3. Session talks

    1. Front Matter
      Pages 181-181
    2. Riccardo Adami, Alessandro Teta
      Pages 183-189
    3. F. Bentosela, P. Exner, V. A. Zagrebnov
      Pages 191-196
    4. P. Duclos, P. Šťovíček, O. Váňa
      Pages 221-226
    5. Peter Kuchment, Sergei Levendorskiǐ
      Pages 291-297
    6. Ari Laptev, Timo Weidl
      Pages 299-305
    7. H. Neidhardt, V. A. Zagrebnov
      Pages 323-334
    8. D. Yafaev
      Pages 373-378
  4. Back Matter
    Pages 385-398

About these proceedings

Introduction

At the age of almost three quarters of a century, quantum mechanics is by all accounts a mature theory. There were times when it seemed that it had borne its best fruit already and would give way to investigation of deeper levels of matter. Today this sounds like rash thinking. Modern experimental techniques have led to discoveries of numerous new quantum effects in solid state, optics and elsewhere. Quantum mechanics is thus gradually becoming a basis for many branches of applied physics, in this way entering our everyday life. While the dynamic laws of quantum mechanics are well known, a proper theoretical understanding requires methods which would allow us to de­ rive the abundance of observed quantum effects from the first principles. In many cases the rich structure hidden in the Schr6dinger equation can be revealed only using sophisticated tools. This constitutes a motivation to investigate rigorous methods which yield mathematically well-founded properties of quantum systems.

Keywords

Analysis Mathematical physics Potential quantum mechanics scattering theory

Editors and affiliations

  • Jaroslav Dittrich
    • 1
  • Pavel Exner
    • 1
  • Miloš Tater
    • 1
  1. 1.Department of Theoretical PhysicsNuclear Physics Institute Academy of ScienceRez near PragueCzech Republic

Bibliographic information