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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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Autore: Biane Philippe Visualizza persona
Titolo: Quantum Potential Theory [[electronic resource] /] / by Philippe Biane, Luc Bouten, Fabio Cipriani, Norio Konno, Quanhua Xu ; edited by Uwe Franz, Michael Schuermann Visualizza cluster
Pubblicazione: Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2008
Edizione: 1st ed. 2008.
Descrizione fisica: 1 online resource (XII, 464 p. 18 illus.)
Disciplina: 515.96
Soggetto topico: 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
Soggetto geografico: Greifswald <2007>
Soggetto genere / forma: Greifswald (2007)
Kongress.
Classificazione: MAT 310f
PHY 020f
SI 850
58B3481R6031C1253C21
Persona (resp. second.): BoutenLuc
CiprianiFabio
KonnoNorio
XuQuanhua
FranzUwe
SchuermannMichael
Note generali: "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.
Nota di bibliografia: Includes bibliographical references and index.
Nota di contenuto: 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.
Sommario/riassunto: 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.
Titolo autorizzato: Quantum Potential Theory  Visualizza cluster
ISBN: 3-540-69365-3
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910484093703321
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Serie: Lecture Notes in Mathematics, . 0075-8434 ; ; 1954