Editors:
- 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
- Includes supplementary material: sn.pub/extras
Part of the book series: Trends in Mathematics (TM)
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Table of contents (39 papers)
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Front Matter
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Quantization, Supergeometry and Representation Theory, the Scientific Legacy of Felix A. Berezin
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Front Matter
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Foundations of Quantum Mechanics
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Front Matter
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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.
Editors and Affiliations
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Departamento de Física, CINVESTAV, Mexico City, Mexico
Piotr Kielanowski
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Dept. of Mathematics and Statistics, Concordia University, Montreal, Canada
S. Twareque Ali
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Institute of Mathematics, University of Bialystok, Bialystok, Poland
Anatol Odzijewicz
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Mathematics Research Unit, FSTC, University of Luxembourg, Luxembourg-Kirchberg, Luxembourg
Martin Schlichenmaier
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School of Mathematics, University of Manchester, Manchester, United Kingdom
Theodore Voronov
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
DOI: https://doi.org/10.1007/978-3-0348-0448-6
Publisher: Birkhäuser Basel
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Basel 2013
Hardcover ISBN: 978-3-0348-0447-9Published: 06 November 2012
Softcover ISBN: 978-3-0348-0784-5Published: 14 December 2014
eBook ISBN: 978-3-0348-0448-6Published: 05 November 2012
Series ISSN: 2297-0215
Series E-ISSN: 2297-024X
Edition Number: 1
Number of Pages: XX, 432
Topics: Global Analysis and Analysis on Manifolds, Quantum Computing, Group Theory and Generalizations