2016-Sustainable Industrial Processing Summit
SIPS 2016 Volume 4: Santilli Intl. Symp. / Mathematics Applications
| Editors: | Kongoli F, Gaines G, Georgiev S, Bhalekar A |
| Publisher: | Flogen Star OUTREACH |
| Publication Year: | 2016 |
| Pages: | 320 pages |
| ISBN: | 978-1-987820-42-3 |
| ISSN: | 2291-1227 (Metals and Materials Processing in a Clean Environment Series) |
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Deformation Quantization: from Number Theory to Mathematical Physics
Moskaliuk Stepan1;1BOGOLIUBOV INSTITUTE FOR THEORETICAL PHYSICS OF NAS OF UKRAINE, Kyiv UA-03143, Ukraine;
Type of Paper: Regular
Id Paper: 200
Topic: 38
Abstract:
This talk aims to be a survey of the theory of formal deformation quantization in the frame of the categorical approach. It is intended to be a pedagogical introduction to mathematicians and mathematical physicists who are first approaching the subject. It is shown that deformation quantization in isomathematics are trivial and corresponding physical models are incorrect. We also received nontrivial deformations of Cayley-Klein spaces, noncommutative spaces etc. Then we build their global symmetries, gauge symmetries and quantum symmetries, etc. We constructed the inequalities for the correspondence models in quantum theory, astrophysics and cosmology too.