LEADER 05003nam 22009615 450 001 9910484093703321 005 20200629175557.0 010 $a3-540-69365-3 024 7 $a10.1007/978-3-540-69365-9 035 $a(CKB)1000000000492092 035 $a(SSID)ssj0000493343 035 $a(PQKBManifestationID)11328819 035 $a(PQKBTitleCode)TC0000493343 035 $a(PQKBWorkID)10499589 035 $a(PQKB)11564769 035 $a(DE-He213)978-3-540-69365-9 035 $a(MiAaPQ)EBC3063591 035 $a(MiAaPQ)EBC6281777 035 $a(PPN)130184829 035 $a(EXLCZ)991000000000492092 100 $a20100301d2008 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aQuantum Potential Theory /$fby Philippe Biane, Luc Bouten, Fabio Cipriani, Norio Konno, Quanhua Xu ; edited by Uwe Franz, Michael Schuermann 205 $a1st ed. 2008. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2008. 215 $a1 online resource (XII, 464 p. 18 illus.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1954 300 $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"--P. [4] of cover. 311 $a3-540-69364-5 320 $aIncludes bibliographical references and index. 327 $aPotential 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. 330 $aThis volume contains the revised and completed notes of lectures given at the school "Quantum Potential Theory: Structure and Applications to Physics," held at the Alfried-Krupp-Wissenschaftskolleg in Greifswald from February 26 to March 10, 2007. Quantum potential theory studies noncommutative (or quantum) analogs of classical potential theory. These lectures provide an introduction to this theory, concentrating on probabilistic potential theory and it quantum analogs, i.e. quantum Markov processes and semigroups, quantum random walks, Dirichlet forms on C* and von Neumann algebras, and boundary theory. Applications to quantum physics, in particular the filtering problem in quantum optics, are also presented. 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v1954 606 $aGlobal analysis (Mathematics) 606 $aManifolds (Mathematics) 606 $aQuantum physics 606 $aQuantum computers 606 $aSpintronics 606 $aDifferential geometry 606 $aPotential theory (Mathematics) 606 $aGlobal Analysis and Analysis on Manifolds$3https://scigraph.springernature.com/ontologies/product-market-codes/M12082 606 $aQuantum Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19080 606 $aQuantum Information Technology, Spintronics$3https://scigraph.springernature.com/ontologies/product-market-codes/P31070 606 $aDifferential Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21022 606 $aPotential Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M12163 607 $aGreifswald <2007>$2swd 608 $aGreifswald (2007)$2swd 608 $aKongress.$2swd 615 0$aGlobal analysis (Mathematics). 615 0$aManifolds (Mathematics). 615 0$aQuantum physics. 615 0$aQuantum computers. 615 0$aSpintronics. 615 0$aDifferential geometry. 615 0$aPotential theory (Mathematics). 615 14$aGlobal Analysis and Analysis on Manifolds. 615 24$aQuantum Physics. 615 24$aQuantum Information Technology, Spintronics. 615 24$aDifferential Geometry. 615 24$aPotential Theory. 676 $a515.96 686 $aMAT 310f$2stub 686 $aPHY 020f$2stub 686 $aSI 850$2rvk 686 $a58B34$a81R60$a31C12$a53C21$2msc 700 $aBiane$b Philippe$4aut$4http://id.loc.gov/vocabulary/relators/aut$061003 702 $aBouten$b Luc$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aCipriani$b Fabio$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aKonno$b Norio$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aXu$b Quanhua$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aFranz$b Uwe$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aSchuermann$b Michael$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910484093703321 996 $aQuantum Potential Theory$9230600 997 $aUNINA