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Solvable Models in Quantum Mechanics

  • Book
  • © 1988

Overview

Part of the book series: Theoretical and Mathematical Physics (TMP)

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Table of contents (15 chapters)

  1. Introduction

  2. The One-Center Point Interaction

  3. Point Interactions with a Finite Number of Centers

  4. Point Interactions with Infinitely Many Centers

Keywords

About this book

Next to the harmonic oscillator and the Coulomb potential the class of two-body models with point interactions is the only one where complete solutions are available. All mathematical and physical quantities can be calculated explicitly which makes this field of research important also for more complicated and realistic models in quantum mechanics. The detailed results allow their implementation in numerical codes to analyse properties of alloys, impurities, crystals and other features in solid state quantum physics. This monograph presents in a systematic way the mathematical approach and unifies results obtained in recent years. The student with a sound background in mathematics will get a deeper understanding of Schrödinger Operators and will see many examples which may eventually be used with profit in courses on quantum mechanics and solid state physics. The book has textbook potential in mathematical physics and is suitable for additional reading in various fields of theoretical quantum physics.

Authors and Affiliations

  • Faculty of Mathematics and Bielefeld-Bochum Research Center, Ruhr-Universität Bochum, Bochum 1, West Germany

    Sergio Albeverio

  • Institute for Theoretical Physics, University of Graz, Graz, Austria

    Friedrich Gesztesy

  • Institute of Mathematics, University of Oslo, Oslo 3, Norway

    Raphael Høegh-Krohn

  • Institute of Mathematics, University of Trondheim, Trondheim-NTH, Norway

    Helge Holden

Bibliographic Information

  • Book Title: Solvable Models in Quantum Mechanics

  • Authors: Sergio Albeverio, Friedrich Gesztesy, Raphael Høegh-Krohn, Helge Holden

  • Series Title: Theoretical and Mathematical Physics

  • DOI: https://doi.org/10.1007/978-3-642-88201-2

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York Inc. 1988

  • Softcover ISBN: 978-3-642-88203-6Published: 04 May 2012

  • eBook ISBN: 978-3-642-88201-2Published: 06 December 2012

  • Series ISSN: 1864-5879

  • Series E-ISSN: 1864-5887

  • Edition Number: 1

  • Number of Pages: XIV, 452

  • Number of Illustrations: 44 b/w illustrations

  • Topics: Quantum Physics, Quantum Information Technology, Spintronics

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