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Titlebook: Quantum Potential Theory; Philippe Biane,Luc Bouten,Quanhua Xu,Uwe Franz,Mic Book 2008 Springer-Verlag Berlin Heidelberg 2008 Dirichlet fo

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发表于 2025-3-21 17:35:45 | 显示全部楼层 |阅读模式
书目名称Quantum Potential Theory
编辑Philippe Biane,Luc Bouten,Quanhua Xu,Uwe Franz,Mic
视频video
概述Includes supplementary material:
丛书名称Lecture Notes in Mathematics
图书封面Titlebook: Quantum Potential Theory;  Philippe Biane,Luc Bouten,Quanhua Xu,Uwe Franz,Mic Book 2008 Springer-Verlag Berlin Heidelberg 2008 Dirichlet fo
描述.This volume contains the revised and completed notes of lectures given at the school "Quantum Potential Theory: Structure and Applications to Physics," held at the Alfried-Krupp-Wissenschaftskolleg in Greifswald from February 26 to March 10, 2007...Quantum potential theory studies noncommutative (or quantum) analogs of classical potential theory. These lectures provide an introduction to this theory, concentrating on probabilistic potential theory and it quantum analogs, i.e. quantum Markov processes and semigroups, quantum random walks, Dirichlet forms on C* and von Neumann algebras, and boundary theory. Applications to quantum physics, in particular the filtering problem in quantum optics, are also presented..
出版日期Book 2008
关键词Dirichlet forms; Martin and Poissin boundary; Potential theory; Quantum Markov processes and semigroups
版次1
doihttps://doi.org/10.1007/978-3-540-69365-9
isbn_softcover978-3-540-69364-2
isbn_ebook978-3-540-69365-9Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer-Verlag Berlin Heidelberg 2008
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发表于 2025-3-21 23:44:31 | 显示全部楼层
Interactions between Quantum Probability and Operator Space Theory,e type inequalities in the latter theory. After a short introduction to operator spaces, we present various Khintchine type inequalities in the non-commutative setting, including those for Rademacher variables, Voiculescu’s semicircular systems and Shlyakhtenko’s generalized circular systems. As an
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发表于 2025-3-22 05:16:32 | 显示全部楼层
Quantum Walks,ime (or coined) and the continuous-time quantum walks. This manuscript treats the discrete case in Part I and continuous case in Part II, respectively. Most of the contents are based on our results. Furthermore, papers on quantum walks are listed in References. Studies of discrete-time walks appeare
发表于 2025-3-22 09:22:50 | 显示全部楼层
Dirichlet Forms on Noncommutative Spaces,ses on the differential calculus underlying a Dirichlet form. Applications are given in Riemannian Geometry to a potential theoretic characterization of spaces with positive curvature and to the construction of Fredholm modules in Noncommutative Geometry.
发表于 2025-3-22 16:10:15 | 显示全部楼层
Book 2008," held at the Alfried-Krupp-Wissenschaftskolleg in Greifswald from February 26 to March 10, 2007...Quantum potential theory studies noncommutative (or quantum) analogs of classical potential theory. These lectures provide an introduction to this theory, concentrating on probabilistic potential theo
发表于 2025-3-22 19:06:28 | 显示全部楼层
Introduction,y areas of physics and engineering like heat conduction and electrostatics. And the term “potential theory” has survived as a convenient label for the theory of functions satisfying the Laplace equation, i.e. so-called harmonic functions.
发表于 2025-3-22 23:59:11 | 显示全部楼层
发表于 2025-3-23 02:15:49 | 显示全部楼层
Quantum Walks,ed a new type of weak limit theorems for the one-dimensional lattice. (.) extended the limit theorem to a wider range of the walks. On the other hand, the continuous-time quantum walk was introduced and studied by (.). Excellent reviews on quantum walks are found in (.), (.), (.), (.).
发表于 2025-3-23 05:40:46 | 显示全部楼层
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