Geometric Methods in Physics (eBook)

XXX Workshop, Bialowieza, Poland, June 26 to July 2, 2011
Artikelnummer: 978-3-0348-0448-6
Einband: PDF
Verfügbarkeit: Download, sofort verfügbar (Link per E-Mail)
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The Bialowieza 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 Stanislaw 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 Stanislaw 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.


The Bialowieza 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 Stanislaw 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 Stanislaw 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.


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VerlagBirkhäuser Basel
EinbandPDF
Erscheinungsjahr2012
Seitenangabe432 S.
AusgabekennzeichenEnglisch
AbbildungenXX, 432 p.
Masse6'190 KB
PlattformPDF
ReiheTrends in Mathematics; Mathematics and Statistics; Mathematics and Statistics ; Springer Nature Proceedings excluding Computer Science
AutorKielanowski, Piotr (Hrsg.) / Ali, S. Twareque (Hrsg.) / Odzijewicz, Anatol (Hrsg.) / Schlichenmaier, Martin (Hrsg.) / Voronov, Theodore (Hrsg.)

Alle Bände der Reihe "Trends in Mathematics; Mathematics and Statistics; Mathematics and Statistics (R0); Springer Nature Proceedings excluding Computer Science"

Über den Autor Piotr (Hrsg.) Kielanowski

Dr. Piotr Kielanowski is a professor of theoretical and mathematical physics at the University of Bialystok, Poland and during the period 1995-2023 he was a professor at the Center for Research and Advanced Studies of the Polytechnic University of Mexico in Mexico City (Centro de Investigación y de Estudios Avanzados). He has published more than 80 original papers in the field of particle phenomenology and has mentored several PhD students. He is co-author of a book on quantum mechanics (Arno Bohm, Piotr Kielanowski, G. Bruce Mainland, Quantum Physics States, Observables and Their Time Evolution, Springer 2019, ISBN: 978-94-024- 1760-9). He has been a member of the Organizing Committee of the Bialowieza Workshop on Geometric Methods in Physics for about 20 years and has been the editor of successive volumes of the proceedings. Alina Dobrogowska is an associate professor of mathematics at the University of Bialystok. Since 2019, she has served as dean of the Faculty of Mathematics at the University of Bialystok. Her scientific interests focus on topics such as: factorization method, orthogonal polynomials, integrable systems, bi-Hamiltonian structures, Poisson geometry, Lie algebras and Lie algebroids. She has published around 40 original papers. She is also a coauthor of the book 40 Years of Workshop on Geometric Methods in Physics. She has been the member of the Organizing Committee of the Workshop on Geometric Methods in Physics since 2001 and has been the editor of recent volumes of the proceedings. Dr. David Fernández is a professor of theoretical physics at the Center for Research and Advanced Studies of the National Polytechnic Institute in Mexico City. He has published more than 80 original papers in the field of mathematical physics and has mentored 14 PhD students. He has made important contributions in the generation of exactly solvable Hamiltonians through the factorization method and supersymmetric quantum mechanics. He has been a member of the Advisory Committee of the Bialowieza Workshop on Geometric Methods in Physics since 2016. Dr. Tomasz Golinski is an assistant professor of mathematics at the University of Bialystok, Poland. He has published around 20 original papers in the field of integrable systems and infinitedimensional geometry. He has been the scientific secretary of the Workshop on Geometric Methods in Physics since 2003 and has been the editor of recent volumes of the proceedings. He is also a coauthor of the volume 40 Years of Workshop on Geometric Methods in Physics.

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