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Geometric Methods in Physics

XXXIV Workshop, Białowieża, Poland, June 28 – July 4, 2015

  • Conference proceedings
  • © 2016

Overview

Editors:
  1. Piotr Kielanowski

    1. Departamento de Física, CINVESTAV, Mexico City, Mexico

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  2. S. Twareque Ali

    1. Department of Mathematics and Statistics, Concordia University, Montreal, Canada

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  3. Pierre Bieliavsky

    1. Department de Mathematiques, Université Catholique de Louvain, Louvain-la-Neuve, Belgium

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  4. Anatol Odzijewicz

    1. Institute of Mathematics, University of Białystok, Białystok, Poland

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  5. Martin Schlichenmaier

    1. Mathematics Research Unit, FSTC, University of Luxembourg, Luxembourg-Kirchberg, Luxembourg

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  6. Theodore Voronov

    1. School of Mathematics, University of Manchester, Manchester, United Kingdom

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  • Provides an up-to-date overview of geometry applications in modern physics
  • Offers mathematically precise discussions of essential topics in physics
  • Features a special session devoted to the achievements of Gerard Emch

Part of the book series: Trends in Mathematics (TM)

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Table of contents (30 papers)

  1. Front Matter

    Pages i-xii
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  2. Quantum Structures: Gérard Emch in memoriam

    1. Front Matter

      Pages 1-1
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    2. Gérard G. Emch

      • S. Twareque Ali
      Pages 3-4

    3. The Gérard I knew for Sixty Years!

      • Antoinette Emch-Dériaz
      Pages 5-14

    4. Pseudo-bosons and Riesz Bi-coherent States

      • F. Bagarello
      Pages 15-23

    5. Entropy of Completely Positive Maps and Applications to Quantum Information Theory

      • Ichiro Fujimoto
      Pages 25-34

    6. Some Comments on Indistinguishable Particles and Interpretation of the Quantum Mechanical Wave Function

      • Gerald A. Goldin
      Pages 35-43

    7. Hyperbolic Flows and the Question of Quantum Chaos

      • Geoffrey L. Sewell
      Pages 45-56

    8. A New Proof of the Helton–Howe–Carey–Pincus Trace Formula

      • Arup Chattopadhyay, Kalyan B. Sinha
      Pages 57-68

    9. Quasi-classical Calculation of Eigenvalues: Examples and Questions

      • Tomoyo Kanazawa, Akira Yoshioka
      Pages 69-77

  3. Representation Theory and Harmonic Analysis

    1. Front Matter

      Pages 79-79
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    2. Supergroup Actions and Harmonic Analysis

      • Alexander Alldridge
      Pages 81-94

    3. Representations of Nilpotent Lie Groups via Measurable Dynamical Systems

      • Ingrid Beltiţă, Daniel Beltiţă
      Pages 95-104

    4. Symbolic Interpretation of the Molien Function: Free and Non-free Modules of Covariants

      • Guillaume Dhont, Boris I. Zhilinskií
      Pages 105-114

    5. Momentum Maps for Smooth Projective Unitary Representations

      • Bas Janssens, Karl-Hermann Neeb
      Pages 115-127

    6. Canonical Representations for Hyperboloids: an Interaction with an Overalgebra

      • Vladimir F. Molchanov
      Pages 129-138

    7. On p-adic Colligations and ‘Rational Maps’ of Bruhat–Tits Trees

      • Yury A. Neretin
      Pages 139-158

    8. Resonances for the Laplacian: the Cases BC2 and C2 (except SO0(p, 2) with p > 2 odd)

      • J. Hilgert, A. Pasquale, T. Przebinda
      Pages 159-182

    9. Howe’s Correspondence and Characters

      • Tomasz Przebinda
      Pages 183-190

  4. Quantum Mechanics and Integrable Systems

    1. Front Matter

      Pages 191-191
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Keywords

About this book

This book features a selection of articles based on the XXXIV Białowieża Workshop on Geometric Methods in Physics, 2015. The articles presented are mathematically rigorous, include important physical implications and address the application of geometry in classical and quantum physics. Special attention deserves the session devoted to discussions of Gerard Emch's most important and lasting achievements in mathematical physics.

The Białowieża workshops are among the most important meetings in the field and gather participants from mathematics and physics alike. Despite their long tradition, the Workshops remain at the cutting edge of ongoing research. For the past several years, the Białowieża Workshop has been followed by a School on Geometry and Physics, where advanced lectures for graduate students and young researchers are presented. The unique atmosphere of the Workshop and School is enhanced by the venue, framed by the natural beauty of the Białowieża forest in eastern Poland.

Editors and Affiliations

  • Departamento de Física, CINVESTAV, Mexico City, Mexico

    Piotr Kielanowski

  • Department of Mathematics and Statistics, Concordia University, Montreal, Canada

    S. Twareque Ali

  • Department de Mathematiques, Université Catholique de Louvain, Louvain-la-Neuve, Belgium

    Pierre Bieliavsky

  • Institute of Mathematics, University of Białystok, Białystok, Poland

    Anatol Odzijewicz

  • Mathematics Research Unit, FSTC, University of Luxembourg, Luxembourg-Kirchberg, Luxembourg

    Martin Schlichenmaier

  • School of Mathematics, University of Manchester, Manchester, United Kingdom

    Theodore Voronov

Bibliographic Information

  • Book Title: Geometric Methods in Physics

  • Book Subtitle: XXXIV Workshop, Białowieża, Poland, June 28 – July 4, 2015

  • Editors: Piotr Kielanowski, S. Twareque Ali, Pierre Bieliavsky, Anatol Odzijewicz, Martin Schlichenmaier, Theodore Voronov

  • Series Title: Trends in Mathematics

  • DOI: https://doi.org/10.1007/978-3-319-31756-4

  • Publisher: Birkhäuser Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer International Publishing Switzerland 2016

  • Hardcover ISBN: 978-3-319-31755-7Published: 29 July 2016

  • Softcover ISBN: 978-3-319-81110-9Published: 30 May 2018

  • eBook ISBN: 978-3-319-31756-4Published: 28 July 2016

  • Series ISSN: 2297-0215

  • Series E-ISSN: 2297-024X

  • Edition Number: 1

  • Number of Pages: XII, 396

  • Number of Illustrations: 20 b/w illustrations, 20 illustrations in colour

  • Topics: Group Theory and Generalizations, Global Analysis and Analysis on Manifolds, Mathematical Methods in Physics

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