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Titlebook: Geometric Methods in Physics; XXXII Workshop, Biał Piotr Kielanowski,Pierre Bieliavsky,Theodore Voron Conference proceedings 2014 Springer

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书目名称Geometric Methods in Physics
副标题XXXII Workshop, Biał
编辑Piotr Kielanowski,Pierre Bieliavsky,Theodore Voron
视频videohttp://file.papertrans.cn/384/383553/383553.mp4
概述Overview of the recent state of the interaction of geometry with modern physics.Discussion of the contributions of Daniel Sternheimer to deformation quantization.Contributions of leading scientists in
丛书名称Trends in Mathematics
图书封面Titlebook: Geometric Methods in Physics; XXXII Workshop, Biał Piotr Kielanowski,Pierre Bieliavsky,Theodore Voron Conference proceedings 2014 Springer
描述.The Białowieża Workshops on Geometric Methods in Physics, which are hosted in the unique setting of the Białowieża natural forest in Poland, are among the most important meetings in the field. Every year some 80 to 100 participants from both the mathematics and physics world join to discuss new developments and to exchange ideas. The current volume was produced on the occasion of the 32.nd. meeting in 2013. It is now becoming a tradition that the Workshop is followed by a School on Geometry and Physics, which consists of advanced lectures for graduate students and young researchers. Selected speakers at the 2013 Workshop were asked to contribute to this book, and their work was supplemented by additional review articles. The selection shows that, despite its now long tradition, the workshop remains at the cutting edge of research. The 2013 Workshop also celebrated the 75.th. birthday of Daniel Sternheimer, and on this occasion the discussion mainly focused on his contributions to mathematical physics such as deformation quantization, Poisson geometry, symplectic geometry and non-commutative differential geometry..
出版日期Conference proceedings 2014
关键词Daniel Sternheimer; Poisson geometry; integrable systems; mathematical physics; quantization; quantum sys
版次1
doihttps://doi.org/10.1007/978-3-319-06248-8
isbn_softcover978-3-319-35282-4
isbn_ebook978-3-319-06248-8Series ISSN 2297-0215 Series E-ISSN 2297-024X
issn_series 2297-0215
copyrightSpringer International Publishing Switzerland 2014
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Bargmann–Fock Realization of the Noncommutative Torusrepresentation theory of finite groups. We observe that the non-commutative torus is nothing else that the range of the star-exponential for the Heisenberg group within the Kirillov’s orbit method context. We deduce from this a realization of the non-commutative torus as acting on a Fock space of en
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Toeplitz Quantization without Measure or Inner Productt necessarily an algebra nor is it equipped with an inner product, although it does have a conjugation. As in the previous paper one does not need to put a measure on this vector space. A Toeplitz quantization is defined and shown to have most of the properties as in the previous paper, including cr
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States in Deformation Quantizationed from theorems holding for a density operator in the Hilbert space formulation of quantum mechanics. The tests are based on a notion of trace and follow from their Hilbert space counterparts through the Stratonovich– Weyl correspondence.
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On Complex Analytic 1|2- and 1|3-dimensional Supermanifolds Associated with ract ., where .. More precisely, we prove that classes of isomorphic complex analytic supermanifolds of dimension 1|3 with retract (.) are in one-to-one correspondence with points of the following set: . for k ≥ 2. For k > 2 all such supermanifolds are isomorphic to their retract (.). In addition, w
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https://doi.org/10.1007/978-3-540-76376-5ric Methods in Physics will celebrate his 75th birthday during the conference together with us. On this happy occasion we decided to dedicate one day of the workshop to recent work in and around some of the topics Daniel is working on (see the program of this day appended).
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Analytical Multi-body Dynamics, Flato’s “deformation philosophy”, of which the main paradigms are the physics revolutions from the beginning of the twentieth century, quantum mechanics (via deformation quantization) and special relativity. On the basis of these facts we describe two main directions by which symmetries of hadrons
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