Geometric Methods in Physics

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

  • Piotr Kielanowski
  • S. Twareque Ali
  • Anatol Odzijewicz
  • Martin Schlichenmaier
  • Theodore Voronov
Conference proceedings

Part of the Trends in Mathematics book series (TM)

Table of contents

  1. Front Matter
    Pages i-xix
  2. Quantization, Supergeometry and Representation Theory, the Scientific Legacy of Felix A. Berezin

  3. Foundations of Quantum Mechanics

    1. Front Matter
      Pages 133-133
    2. David J. Fernández C.
      Pages 135-156
    3. Hellmut Baumgärtel
      Pages 165-174
    4. Ingemar Bengtsson, Stephan Weis, Karol Życzkowski
      Pages 175-197
    5. David Bermúdez, David J. Fernández C.
      Pages 199-209
    6. Maciej Przanowski, Marcin Skulimowski, Jaromir Tosiek
      Pages 265-274
    7. Oscar Rosas-Ortiz, Sara Cruz y Cruz, Nicolás Fernández-García
      Pages 275-281
  4. Quantum Groups and Non-commutative Structures

    1. Front Matter
      Pages 283-283
    2. D. Chruściński, A. Kossakowski
      Pages 285-293
  5. General Methods

    1. Front Matter
      Pages 311-311
    2. Vladimir Dragović
      Pages 323-330
    3. Irena Hinterleitner, Josef Mikeš
      Pages 331-335
    4. R. S. Ismagilov
      Pages 337-341
    5. Jacek Jurkowski
      Pages 343-348
    6. Kirill Mackenzie
      Pages 357-366
    7. Irina Markina, Alexander Vasil’ev
      Pages 367-376
    8. Josef Mikeš, Sergey Stepanov, Marek Jukl
      Pages 377-381
    9. Ivaïlo M. Mladenov, Mariana Ts. Hadzhilazova, Peter A. Djondjorov, Vassil M. Vassilev
      Pages 383-390
    10. Armen Sergeev
      Pages 391-404
  6. Special Talk by Bogdan Mielnik

    1. Front Matter
      Pages 423-423
    2. Bogdan Mielnik
      Pages 425-431

About these proceedings


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 exchange ideas. This volume includes contributions by selected speakers at the 30th meeting in 2011 as well as additional review articles and it shows that the workshop remains at the cutting edge of ongoing research.

The 2011 meeting focused 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 the occasion of their 75th and 70th birthdays, 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 active in representation theory, general concepts of quantization and coherent states, supersymmetry and supermanifolds, among other fields.

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 are the intricacies of the quantum time operator. Woronowicz’ fruitful notion of a compact quantum group and related topics are also addressed.


Berezin quantization coherent states geometric quantization mathematical physics quantum groups quantum states superspaces

Editors and affiliations

  • Piotr Kielanowski
    • 1
  • S. Twareque Ali
    • 2
  • Anatol Odzijewicz
    • 3
  • Martin Schlichenmaier
    • 4
  • Theodore Voronov
    • 5
  1. 1.Departamento de FísicaCINVESTAVMexico CityMexico
  2. 2.Dept. of Mathematics and StatisticsConcordia UniversityMontrealCanada
  3. 3.Institute of MathematicsUniversity of BialystokBialystokPoland
  4. 4.Mathematics Research Unit, FSTCUniversity of LuxembourgLuxembourg-KirchbergLuxembourg
  5. 5.School of MathematicsUniversity of ManchesterManchesterUnited Kingdom

Bibliographic information