Quantum potential theory /
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Imprint: | Berlin : Springer, ©2008. |
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Description: | 1 online resource (xi, 457 pages) : illustrations. |
Language: | English |
Series: | Lecture notes in mathematics, 0075-8434 ; 1954 Lecture notes in mathematics (Springer-Verlag) ; 1954. |
Subject: | |
Format: | E-Resource Book |
URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11071465 |
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049 | |a MAIN | ||
245 | 0 | 0 | |a Quantum potential theory / |c Philippe Biane [and others] ; editors, Michael Schurmann, Uwe Franz. |
260 | |a Berlin : |b Springer, |c ©2008. | ||
300 | |a 1 online resource (xi, 457 pages) : |b illustrations. | ||
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490 | 1 | |a Lecture notes in mathematics, |x 0075-8434 ; |v 1954 | |
504 | |a Includes bibliographical references and index. | ||
505 | 0 | 0 | |g Introduction -- |t Potential theory in classical probability / |r Nicolas Privault -- |t Introduction to random walks on noncommutative spaces / |r Philippe Biane -- |t Interactions between quantum probability and operator space theory / |r Quanhua Xu -- |t Dirichlet forms on noncommutative spaces / |r Fabio Cipriani -- |t Applications of quantum stochastic processes in quantum optics / |r Luc Bouten -- |t Quantum Walks / |r Norio Konno -- |g Index. |
588 | 0 | |a Print version record. | |
520 | |a 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. | ||
650 | 0 | |a Potential theory (Mathematics) |0 http://id.loc.gov/authorities/subjects/sh85105671 | |
650 | 0 | |a Markov processes. |0 http://id.loc.gov/authorities/subjects/sh85081369 | |
650 | 0 | |a Semigroups. |0 http://id.loc.gov/authorities/subjects/sh85119920 | |
650 | 0 | |a Functional analysis. |0 http://id.loc.gov/authorities/subjects/sh85052312 | |
650 | 1 | 4 | |a Mathematics. |
650 | 2 | 4 | |a Differential Geometry. |
650 | 2 | 4 | |a Global Analysis and Analysis on Manifolds. |
650 | 2 | 4 | |a Potential Theory. |
650 | 2 | 4 | |a Quantum Computing, Information and Physics. |
650 | 6 | |a Probabilités. | |
650 | 6 | |a Théorie quantique. | |
650 | 7 | |a Functional analysis. |2 fast |0 (OCoLC)fst00936061 | |
650 | 7 | |a Markov processes. |2 fast |0 (OCoLC)fst01010347 | |
650 | 7 | |a Potential theory (Mathematics) |2 fast |0 (OCoLC)fst01073489 | |
650 | 7 | |a Semigroups. |2 fast |0 (OCoLC)fst01112267 | |
655 | 4 | |a Electronic books. | |
700 | 1 | |a Schürmann, Michael, |d 1955- |0 http://id.loc.gov/authorities/names/n85085101 |1 http://viaf.org/viaf/3900678 | |
700 | 1 | |a Franz, Uwe. |0 http://id.loc.gov/authorities/names/n99047150 |1 http://viaf.org/viaf/22399059 | |
700 | 1 | |a Biane, P. |q (Philippe) |0 http://id.loc.gov/authorities/names/no95045077 |1 http://viaf.org/viaf/71722946 | |
776 | 0 | 8 | |i Print version: |t Quantum potential theory. |d Berlin : Springer, ©2008 |z 9783540693642 |w (DLC) 2008932185 |w (OCoLC)233933472 |
830 | 0 | |a Lecture notes in mathematics (Springer-Verlag) ; |v 1954. | |
856 | 4 | 0 | |u http://link.springer.com/10.1007/978-3-540-69365-9 |y SpringerLink |
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