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Applications of Self-Adjoint Extensions in Quantum Physics

Proceedings of a Conference Held at the Laboratory of Theoretical Physics, JINR, Dubna, USSR, September 29–October 1, 1987

  • Conference proceedings
  • © 1989

Overview

Editors:
  1. Pavel Exner
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  2. Petr Šeba
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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Lecture Notes in Physics (LNP, volume 324)

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Table of contents (20 papers)

  1. Front Matter

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  2. Zero-range interactions with an internal structure

    • B. S. Pavlov
    Pages 3-11

  3. Evolution equations and selfadjoint extensions

    • Hagen Neidhardt
    Pages 12-27

  4. Energy-dependent interactions and the extension theory

    • K.A. Makarov
    Pages 28-39

  5. On perturbations for self-adjoint generators of feller processes

    • M. Demuth
    Pages 40-54

  6. Singular perturbations defined by forms

    • V. D. Koshmaneuko
    Pages 55-66

  7. Covariant markovian random fields in four space-time dimensions with nonlinear electromagnetic interaction

    • Sergio Albeverio, Raphael Høegh-Krohn
    Pages 69-83

  8. Point interaction Hamiltonians for crystals with random defects

    • S. Albeverio, R. Figari, F. Gesztesy, R. Høegh-Krohn, H. Holden, W. Kirsch
    Pages 87-99

  9. Scattering on a random point potential

    • B. S. Pavlov, A. E. Ryzhkov
    Pages 100-114

  10. Faddeev equations for three composite particles

    • Yu. A. Kuperin
    Pages 117-137

  11. On the point interaction of three particles

    • R. A. Minlos
    Pages 138-145

  12. A resonating- group model with extended channel spaces

    • Yu. A. Kuperin, K. A. Makarov, Yu. B. Melnikov
    Pages 146-159

  13. The problem of a few quasi-particles in solid-state physics

    • Alexandr I. Mogilner
    Pages 160-173

  14. Surfaces with an internal structure

    • B. S. Pavlov, P. B. Kurasov
    Pages 177-193

  15. Spectral properties of the laplacian with attractive boundary conditions

    • Manfred Schröder
    Pages 194-202

  16. Quantum junctions and the self-adjoint extensions theory

    • P. Exner, P. Šeba
    Pages 203-217

  17. The extension theory and diffraction problems

    • I. Yu. Popov
    Pages 218-229

  18. Hamiltonians with additional kinetic energy terms on hypersurfaces

    • W. Karwowski
    Pages 230-238

  19. Thin lattices as waveguides

    • B. S. Pavlov
    Pages 241-256

  20. Quantum waveguides

    • P. Exner, P. Šeba, P. Šťovíček
    Pages 257-266
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Keywords

About this book

The shared purpose in this collection of papers is to apply the theory of self-adjoint extensions of symmetry operators in various areas of physics. This allows the construction of exactly solvable models in quantum mechanics, quantum field theory, high energy physics, solid-state physics, microelectronics and other fields. The 20 papers selected for these proceedings give an overview of this field of research unparallelled in the published literature; in particular the views of the leading schools are clearly presented. The book will be an important source for researchers and graduate students in mathematical physics for many years to come. In these proceedings, researchers and graduate students in mathematical physics will find ways to construct exactly solvable models in quantum mechanics, quantum field theory, high energy physics, solid-state physics, microelectronics and other fields.

Bibliographic Information

  • Book Title: Applications of Self-Adjoint Extensions in Quantum Physics

  • Book Subtitle: Proceedings of a Conference Held at the Laboratory of Theoretical Physics, JINR, Dubna, USSR, September 29–October 1, 1987

  • Editors: Pavel Exner, Petr Šeba

  • Series Title: Lecture Notes in Physics

  • DOI: https://doi.org/10.1007/BFb0022942

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1989

  • Softcover ISBN: 978-3-662-13762-8Published: 23 August 2014

  • eBook ISBN: 978-3-540-46104-3Published: 19 November 2005

  • Series ISSN: 0075-8450

  • Series E-ISSN: 1616-6361

  • Edition Number: 1

  • Number of Pages: X, 275

  • Number of Illustrations: 3 b/w illustrations

  • Topics: Quantum Physics, Quantum Information Technology, Spintronics, Analysis

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