Geometric Methods in Physics (AIP Conference Proceedings, 1079) - Hardcover

Hardcover

ISBN 10: 0735406103 ISBN 13: 9780735406100

Publisher: American Institute of Physics, 2008

Synopsis

The conference was devoted to a wide range of mathematical problems related to description of quantum physical systems as well as classical ones. From the point of view of physics the main attention was paid to such topics as integrability and quantization of classical systems. Mathematical aspects of these topics occupy the following branches: Poisson and symplectic geometry, Lie algebras, C*-algebras, Spectral theory, Quantum groups, Noncommutative geometry and some others.

About this title

From the Back Cover

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.

About the Author

Martin Schlichenmaier is full professor for mathematics at the University of Luxemburg. He has held several teaching and research positions in the mathematics department of the University of Mannheim.

Edition details

• Publisher: American Institute of Physics
• Publication date: 2008
• Language: English
• ISBN 10: 0735406103
• ISBN 13: 9780735406100
• Binding: Hardcover
• Number of pages: 296
• Editor: Kielanowski Piotr, Odzijewicz Anatol, Schlichenmaier Martin, Voronov Thodore