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Studies in Mathematical Physics

Lectures Presented at the NATO Advanced Study Institute on Mathematical Physics held in Istanbul, August, 1970

  • Book
  • © 1973

Overview

Editors:
  1. A. O. Barut

    1. Institute for Theoretical Physics, University of Colorado, Boulder, USA

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Part of the book series: Nato Science Series C: (ASIC, volume 1)

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-vii
    Download chapter PDF

  2. Basic Notions in Topological Vector Spaces

    • Daniel Sternheimer
    Pages 1-49

  3. Lectures on Mathematical Aspects of Phase Transitions

    • M. Kac
    Pages 51-79

  4. The Mathematical Structure of the BCS-Model and Related Models

    • W. Thirring
    Pages 81-111

  5. A Short Survey of Modern Statistical Mechanics

    • Moshé Flato
    Pages 113-134

  6. Generalized Eigenvectors in Group Representations

    • Bengt Nagel
    Pages 135-154

  7. Mackey-Wigner and Covariant Group Representations

    • U. Niederer, L. O’Raifeartaigh
    Pages 155-177

  8. Derivation of the Lorentz and Galilei Groups from Rotational Invariance

    • Vittorio Gorini
    Pages 179-196

  9. Generalized Eigenvectors and Group Representations — The Connection Between Representations of SO(4, l) and the Poincaré Group

    • A. Böhm
    Pages 197-245

  10. The Inverse Decay Problem

    • J. P. Marchand
    Pages 247-252

  11. On Operator Equations in Particle Physics

    • R. Rączka
    Pages 253-262

  12. Lectures in Nonlinear Algebraic Transformations

    • P. R. Stein, S. Ulam
    Pages 263-314

  13. The new Mathematical and Physical Problems of Superstrong Coupling of Magnetic Monopoles and Composite Hadrons

    • A. O. Barut
    Pages 315-319
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Keywords

About this book

Mathematical physics has become, in recent years, an inde­ pendent and important branch of science. It is being increasingly recognized that a better knowledge and a more effective channeling of modern mathematics is of great value in solving the problems of pure and applied sciences, and in recognizing the general unifying principles in science. Conversely, mathematical developments are greatly influenced by new physical concepts and ideas. In the last century there were very close links between mathematics and theo­ retical physics. It must be taken as an encouraging sign that today, after a long communication gap, mathematicians and physicists have common interests and can talk to each other. There is an unmistak­ able trend of rapprochement when both groups turn towards the com­ mon source of their science-Nature. To this end the meetings and conferences addres sed to mathematicians and phYSicists and the publication of the studies collected in this Volume are based on lec­ tures presented at the NATO Advanced Study Institute on Mathemati­ cal Physics held in Istanbul in August 1970. They contain review papers and didactic material as well as original results. Some of the studies will be helpful for physicists to learn the language and methods of modern mathematical analysis-others for mathematicians to learn physics. All subjects are among the most interesting re­ search areas of mathematical physics.

Editors and Affiliations

  • Institute for Theoretical Physics, University of Colorado, Boulder, USA

    A. O. Barut

Bibliographic Information

  • Book Title: Studies in Mathematical Physics

  • Book Subtitle: Lectures Presented at the NATO Advanced Study Institute on Mathematical Physics held in Istanbul, August, 1970

  • Editors: A. O. Barut

  • Series Title: Nato Science Series C:

  • DOI: https://doi.org/10.1007/978-94-010-2669-7

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: D. Reidel Publishing Company, Dordrecht 1973

  • Hardcover ISBN: 978-90-277-0405-4Published: 31 December 1973

  • Softcover ISBN: 978-94-010-2671-0Published: 25 November 2011

  • eBook ISBN: 978-94-010-2669-7Published: 06 December 2012

  • Series ISSN: 1389-2185

  • Edition Number: 1

  • Number of Pages: VII, 319

  • Topics: Theoretical, Mathematical and Computational Physics

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