Trends in Mathematics

Geometric Methods in Physics

XXX Workshop, Białowieża, Poland, June 26 to July 2, 2011

Editors: Kielanowski, P., Ali, S.T., Odzijewicz, A., Schlichenmaier, M., Voronov, T. (Eds.)

  • Mathematically precise discussion of the physical topics
  • Concise description of the geometry of quantum states with relation to quantum entanglement and quantum computing
  • Overview of the recent state of the interaction of geometry with modern physics
  • Contributions of leading scientists in the field
  • Documentation of Felix A. Berezin’s work and personal recollections by his former students and collaborators
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About this book

The Białowieża workshops on Geometric Methods in Physics are among the most important meetings in the field. Every year some 80 to 100 participants from both mathematics and physics join to discuss new developments and to interchange ideas. This volume contains contributions by selected speakers at the XXX meeting in 2011 as well as additional review articles and shows that the workshop remains at the cutting edge of ongoing research.

The 2011 workshop focussed on the works of the late Felix A. Berezin (1931–1980) on the occasion of his 80th anniversary as well as on Bogdan Mielnik and Stanisław Lech Woronowicz on their 75th and 70th birthday, respectively. The groundbreaking work of Berezin is discussed from today’s perspective by presenting an overview of his ideas and their impact on further developments. He was, among other fields, active in representation theory, general concepts of quantization and coherent states, supersymmetry and supermanifolds.

Another focus lies on the accomplishments of Bogdan Mielnik and Stanisław Lech Woronowicz. Mielnik’s geometric approach to the description of quantum mixed states, the method of quantum state manipulation and their important implications for quantum computing and quantum entanglement are discussed as well as the intricacies of the quantum time operator. Woronowicz’ fruitful notion of a compact quantum group and related topics are also addressed.

Table of contents (39 chapters)

  • Felix Alexandrovich Berezin and His Work

    Karabegov, Alexander (et al.)

    Pages 3-33

  • Some Non-standard Examples of Coherent States and Quantization

    Ali, S. Twareque

    Pages 35-42

  • Classical and Quantum Evolution on the Siegel-Jacobi Manifolds

    Berceanu, Stefan

    Pages 43-52

  • Exhausting Formal Quantization Procedures

    Dolgushev, Vasily A.

    Pages 53-62

  • On One Result of F. Berezin

    Gindikin, Simon

    Pages 63-69

Buy this book

eBook $129.00
price for USA (gross)
  • ISBN 978-3-0348-0448-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.00
price for USA
  • ISBN 978-3-0348-0447-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover n/a
  • ISBN 978-3-0348-0784-5
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Geometric Methods in Physics
Book Subtitle
XXX Workshop, Białowieża, Poland, June 26 to July 2, 2011
Editors
  • Piotr Kielanowski
  • S. Twareque Ali
  • Anatol Odzijewicz
  • Martin Schlichenmaier
  • Theodore Voronov
Series Title
Trends in Mathematics
Copyright
2013
Publisher
Birkhäuser Basel
Copyright Holder
Springer Basel
eBook ISBN
978-3-0348-0448-6
DOI
10.1007/978-3-0348-0448-6
Hardcover ISBN
978-3-0348-0447-9
Softcover ISBN
978-3-0348-0784-5
Series ISSN
2297-0215
Edition Number
1
Number of Pages
XX, 432
Topics