05055nam 22009855 450 991048409370332120200629175557.09783540693659354069365310.1007/978-3-540-69365-9(CKB)1000000000492092(SSID)ssj0000493343(PQKBManifestationID)11328819(PQKBTitleCode)TC0000493343(PQKBWorkID)10499589(PQKB)11564769(DE-He213)978-3-540-69365-9(MiAaPQ)EBC3063591(MiAaPQ)EBC6281777(PPN)130184829(EXLCZ)99100000000049209220100301d2008 u| 0engurnn#008mamaatxtccrQuantum Potential Theory /by Philippe Biane, Luc Bouten, Fabio Cipriani, Norio Konno, Quanhua Xu ; edited by Uwe Franz, Michael Schuermann1st ed. 2008.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2008.1 online resource (XII, 464 p. 18 illus.)Lecture Notes in Mathematics,0075-8434 ;1954"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.9783540693642 3540693645 Includes bibliographical references and index.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.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.Lecture Notes in Mathematics,0075-8434 ;1954Global analysis (Mathematics)Manifolds (Mathematics)Quantum theoryQuantum computersSpintronicsGeometry, DifferentialPotential theory (Mathematics)Global Analysis and Analysis on Manifoldshttps://scigraph.springernature.com/ontologies/product-market-codes/M12082Quantum Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19080Quantum Information Technology, Spintronicshttps://scigraph.springernature.com/ontologies/product-market-codes/P31070Differential Geometryhttps://scigraph.springernature.com/ontologies/product-market-codes/M21022Potential Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M12163Greifswald <2007>swdGreifswald (2007)swdKongress.swdGlobal analysis (Mathematics)Manifolds (Mathematics)Quantum theory.Quantum computers.Spintronics.Geometry, Differential.Potential theory (Mathematics)Global Analysis and Analysis on Manifolds.Quantum Physics.Quantum Information Technology, Spintronics.Differential Geometry.Potential Theory.515.96MAT 310fstubPHY 020fstubSI 850rvk58B3481R6031C1253C21mscBiane Philippeauthttp://id.loc.gov/vocabulary/relators/aut61003Bouten Lucauthttp://id.loc.gov/vocabulary/relators/autCipriani Fabioauthttp://id.loc.gov/vocabulary/relators/autKonno Norioauthttp://id.loc.gov/vocabulary/relators/autXu Quanhuaauthttp://id.loc.gov/vocabulary/relators/autFranz Uweedthttp://id.loc.gov/vocabulary/relators/edtSchuermann Michaeledthttp://id.loc.gov/vocabulary/relators/edtMiAaPQMiAaPQMiAaPQBOOK9910484093703321Quantum Potential Theory230600UNINA