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Quantum Potential Theory / by Philippe Biane, Luc Bouten, Fabio Cipriani, Norio Konno, Nicolas Privault, Quanhua Xu ; edited by Uwe Franz, Michael Schürmann.
Math/Physics/Astronomy Library QA3 .L28 v.1-999 470,523,830,849:2nd ed. v.1000-1722,1762,1781,1799-2099,2100-2192-2218 2219-2223-2258,2260-2271,2273-2274-2277,2279-2281,2283-2289,2291,2293-2294,2296,2298-2299,2300-2311,2313-2366,2368-2379,2381-2382 2385,2388-2389
Mixed Availability
LIBRA QA3 .L28 Scattered vols.
Mixed Availability
- Format:
- Book
- Author/Creator:
- Biane, P. (Philippe), author.
- Bouten, Luc, author.
- Cipriani, Fabio, author.
- Konno, Norio, author.
- Privault, Nicolas, author.
- Xu, Quanhua, author.
- Series:
- Lecture Notes in Mathematics, 0075-8434 ; 1954.
- Lecture Notes in Mathematics, 0075-8434 ; 1954
- Language:
- English
- Subjects (All):
- Global analysis (Mathematics).
- Quantum theory.
- Global differential geometry.
- Potential theory (Mathematics).
- Global Analysis and Analysis on Manifolds.
- Quantum Physics.
- Quantum Information Technology, Spintronics.
- Differential Geometry.
- Potential Theory.
- Local Subjects:
- Global Analysis and Analysis on Manifolds.
- Quantum Physics.
- Quantum Information Technology, Spintronics.
- Differential Geometry.
- Potential Theory.
- Physical Description:
- 1 online resource (XII, 464 pages 18 illustrations).
- Contained In:
- Springer eBooks
- Place of Publication:
- Berlin, Heidelberg : Springer Berlin Heidelberg, 2008.
- System Details:
- text file PDF
- Summary:
- 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, id est 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.
- Contents:
- Potential Theory in Classical Probability
- to Random Walks on Noncommutative Spaces
- Interactions between Quantum Probability and Operator Space Theory
- Dirichlet Forms on Noncommutative Spaces
- Applications of Quantum Stochastic Processes in Quantum Optics
- Quantum Walks.
- Other Format:
- Printed edition:
- ISBN:
- 9783540693659
- Access Restriction:
- Restricted for use by site license.
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