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Geometric Methods in Physics

XXXIII Workshop, Białowieża, Poland, June 29 – July 5, 2014

  • Conference proceedings
  • © 2015

Overview

Editors:
  1. Piotr Kielanowski

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

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  2. Pierre Bieliavsky

    1. Université Catholique de Louvain IRMP, Louvain-la-Neuve, France

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  3. Anatol Odzijewicz

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

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  4. Martin Schlichenmaier

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

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  5. Theodore Voronov

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

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  • Provides an overview of the current state of application of geometry in modern physics
  • Presents mathematically precise discussions of important topics in physics
  • Features contributions by leading scientists in the field
  • Includes supplementary material: sn.pub/extras

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

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Table of contents (25 papers)

  1. Front Matter

    Pages i-ix
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  2. Higher Structures and Non-commutative Geometry

    1. Front Matter

      Pages 1-1
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    2. Traces of Holomorphic Families of Operators on the Noncommutative Torus and on Hilbert Modules

      • Sara Azzali, Cyril Lévy, Carolina Neira-Jiménez, Sylvie Paycha
      Pages 3-38

    3. r ∞-Matrices, Triangular L ∞-Bialgebras and Quantum∞ Groups

      • Denis Bashkirov, Alexander A. Voronov
      Pages 39-47

    4. Normal Forms and Lie Groupoid Theory

      • Rui Loja Fernandes
      Pages 49-66

    5. Higher Braces Via Formal (Non)Commutative Geometry

      • Martin Markl
      Pages 67-81

    6. Conformally Rescaled Noncommutative Geometries

      • Andrzej Sitarz
      Pages 83-100

  3. Quantum Mechanics and Field Theory

    1. Front Matter

      Pages 101-101
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    2. On Some Quaternionic Coherent States and Wavelets

      • S. Twareque Ali
      Pages 103-111

    3. Supersymmetric Vector Coherent States for Systems with Zeeman Coupling and Spin-Orbit Interactions

      • I. Aremua, E. Baloïtcha, M. N. Hounkonnou
      Pages 113-126

    4. Energy and Stability of the Pais–Uhlenbeck Oscillator

      • D. S. Kaparulin, S. L. Lyakhovich
      Pages 127-134

    5. Deformation Quantization with Separation of Variables and Gauge Theories

      • Yoshiaki Maeda, Akifumi Sako, Toshiya Suzuki, Hiroshi Umetsu
      Pages 135-144

    6. Physics of Spectral Singularities

      • Ali Mostafazadeh
      Pages 145-165

    7. On the Moduli Space of Yang–Mills Fields on \( \mathbb{R}^4 \)

      • Armen Sergeev
      Pages 167-176

    8. On Covariant Poisson Brackets in Field Theory

      • A. A. Sharapov
      Pages 177-186

  4. Groups and Algebras

    1. Front Matter

      Pages 187-187
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    2. Weyl Group Orbit Functions in Image Processing

      • Goce Chadzitaskos, Lenka Háková, Ondřej Kajínek
      Pages 189-194

    3. Poisson and Fourier Transforms for Tensor Products and an Overalgebra

      • Vladimir F. Molchanov
      Pages 195-203

    4. Unipotent Flow on \( \text{SL}_2 \left( {\Bbb Z} \right)\backslash \text{SL}_2 \left( {\mathbb{R}} \right) \): From Dynamics to Elementary Number Theory

      • Nikolay Moshchevitin
      Pages 205-211

    5. Lie Superalgebras of Krichever–Novikov Type

      • Martin Schlichenmaier
      Pages 213-226
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Keywords

About this book

​This book presents a selection of papers based on the XXXIII Białowieża Workshop on Geometric Methods in Physics, 2014. The Białowieża Workshops are among the most important meetings in the field and attract researchers from both mathematics and physics. The articles gathered here are mathematically rigorous and have important physical implications, addressing the application of geometry in classical and quantum physics. Despite their long tradition, the workshops remain at the cutting edge of ongoing research. For the last several years, each Białowieża Workshop has been followed by a School on Geometry and Physics, where advanced lectures for graduate students and young researchers are presented; some of the lectures are reproduced here. The unique atmosphere of the workshop and school is enhanced by its venue, framed by the natural beauty of the Białowieża forest in eastern Poland.

The volume will be of interest to researchers and graduate students in mathematical physics, theoretical physics and mathematmtics.

Editors and Affiliations

  • Departamento de Física, CINVESTAV, Mexico City, Mexico

    Piotr Kielanowski

  • Université Catholique de Louvain IRMP, Louvain-la-Neuve, France

    Pierre Bieliavsky

  • Institute of Mathematics, University of Bialystok, Bialystok, Poland

    Anatol Odzijewicz

  • Mathematics Research Institute, FSTC, University of Luxembourg Mathematics Research Unit, FSTC, 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: XXXIII Workshop, Białowieża, Poland, June 29 – July 5, 2014

  • Editors: Piotr Kielanowski, Pierre Bieliavsky, Anatol Odzijewicz, Martin Schlichenmaier, Theodore Voronov

  • Series Title: Trends in Mathematics

  • DOI: https://doi.org/10.1007/978-3-319-18212-4

  • Publisher: Birkhäuser Cham

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

  • Copyright Information: Springer International Publishing Switzerland 2015

  • Hardcover ISBN: 978-3-319-18211-7Published: 30 September 2015

  • Softcover ISBN: 978-3-319-38745-1Published: 29 October 2016

  • eBook ISBN: 978-3-319-18212-4Published: 21 September 2015

  • Series ISSN: 2297-0215

  • Series E-ISSN: 2297-024X

  • Edition Number: 1

  • Number of Pages: IX, 326

  • Number of Illustrations: 10 b/w illustrations, 1 illustrations in colour

  • Topics: Group Theory and Generalizations, Global Analysis and Analysis on Manifolds, Quantum Computing

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