Geometric Methods in Physics

Geometric Methods in Physics
Author: Piotr Kielanowski
Publisher: Springer Science & Business Media
Total Pages: 431
Release: 2012-11-05
Genre: Mathematics
ISBN: 3034804482

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.

Quantization, Coherent States, and Complex Structures

Quantization, Coherent States, and Complex Structures
Author: J-P Antoine
Publisher:
Total Pages: 320
Release: 1996-01-31
Genre: Mathematics
ISBN:

The July 1994 workshop, while still within the general framework of Differential Geometric Methods in Physics, was expanded in scope to include quantum groups q-deformations, and non-commutative geometry. Thirty-three contributions address such topics as classical Yang-Mills and Dirac fields in the Minkowski Space and in a bag; spin coherent states for the Poincare group; geometric coherent states, membranes, and star products; noncommutative space-time implied by spin; and galactic dynamics in the Siegel half-plane. Annotation copyright by Book News, Inc., Portland, OR

Lie Theory and Its Applications in Physics V

Lie Theory and Its Applications in Physics V
Author: H. D. Doebner
Publisher: World Scientific
Total Pages: 439
Release: 2004
Genre: Mathematics
ISBN: 9812702563

This volume is targeted at theoretical physicists, mathematical physicists and mathematicians working on mathematical models for physical systems based on symmetry methods and in the field of Lie theory understood in the widest sense. It includes contributions on Lie theory, with two papers by the famous mathematician Kac (one paper with Bakalov), further papers by Aoki, Moens. Some other important contributions are in: field theory OCo Todorov, Grosse, Kreimer, Sokatchev, Gomez; string theory OCo Minwalla, Staudacher, Kostov; integrable systems OCo Belavin, Helminck, Ragoucy; quantum-mechanical and probabilistic systems OCo Goldin, Van der Jeugt, Leandre; quantum groups and related objects OCo Jakobsen, Arnaudon, Andruskiewitsch; and others. The proceedings have been selected for coverage in: . OCo Index to Scientific & Technical Proceedings- (ISTP- / ISI Proceedings). OCo Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings). OCo CC Proceedings OCo Engineering & Physical Sciences."

Contemporary Problems In Mathematical Physics - Proceedings Of The Second International Workshop

Contemporary Problems In Mathematical Physics - Proceedings Of The Second International Workshop
Author: Jan Govaerts
Publisher: World Scientific
Total Pages: 503
Release: 2002-10-18
Genre: Science
ISBN: 9814488682

The following topics are discussed in this volume: recent developments in operator theory, coherent states and wavelet analysis, geometric and topological methods in theoretical physics and quantum field theory, and applications of these methods of mathematical physics to problems in atomic and molecular physics as well as the world of the elementary particles and their fundamental interactions. Two extensive sets of lecture notes on quantization techniques in general, and quantum gauge theories and strings as an avenue towards quantum geometry, are also included. The volume should be of interest to anyone working in a field using the mathematical methods associated with any of these topics.

Proceedings of the Second International Workshop on Contemporary Problems in Mathematical Physics

Proceedings of the Second International Workshop on Contemporary Problems in Mathematical Physics
Author: Jan Govaerts
Publisher: World Scientific
Total Pages: 508
Release: 2002
Genre: Science
ISBN: 9789810249359

The following topics are discussed in this volume: recent developments in operator theory, coherent states and wavelet analysis, geometric and topological methods in theoretical physics and quantum field theory, and applications of these methods of mathematical physics to problems in atomic and molecular physics as well as the world of the elementary particles and their fundamental interactions. Two extensive sets of lecture notes on quantization techniques in general, and quantum gauge theories and strings as an avenue towards quantum geometry, are also included. The volume should be of interest to anyone working in a field using the mathematical methods associated with any of these topics.