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Record Nr. |
UNISA996466524403316 |
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Autore |
Biane Philippe |
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Titolo |
Quantum Potential Theory [[electronic resource] /] / by Philippe Biane, Luc Bouten, Fabio Cipriani, Norio Konno, Quanhua Xu ; edited by Uwe Franz, Michael Schuermann |
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Pubbl/distr/stampa |
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Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2008 |
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ISBN |
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Edizione |
[1st ed. 2008.] |
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Descrizione fisica |
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1 online resource (XII, 464 p. 18 illus.) |
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Collana |
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Lecture Notes in Mathematics, , 0075-8434 ; ; 1954 |
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Classificazione |
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MAT 310f |
PHY 020f |
SI 850 |
58B3481R6031C1253C21 |
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Disciplina |
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Soggetti |
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Global analysis (Mathematics) |
Manifolds (Mathematics) |
Quantum physics |
Quantum computers |
Spintronics |
Differential geometry |
Potential theory (Mathematics) |
Global Analysis and Analysis on Manifolds |
Quantum Physics |
Quantum Information Technology, Spintronics |
Differential Geometry |
Potential Theory |
Greifswald (2007) |
Kongress. |
Greifswald <2007> |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"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"--P. [4] of cover. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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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. |
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Sommario/riassunto |
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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. |
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