000 03173nam a22006135i 4500
001 978-3-540-69365-9
003 DE-He213
005 20160624101833.0
007 cr nn 008mamaa
008 100301s2008 gw | s |||| 0|eng d
020 _a9783540693659
_9978-3-540-69365-9
024 7 _a10.1007/978-3-540-69365-9
_2doi
050 4 _aQA614-614.97
072 7 _aPBKS
_2bicssc
072 7 _aMAT034000
_2bisacsh
082 0 4 _a514.74
_223
100 1 _aBiane, Philippe.
_eauthor.
245 1 0 _aQuantum Potential Theory
_h[electronic resource] /
_cby Philippe Biane, Luc Bouten, Fabio Cipriani, Norio Konno, Nicolas Privault, Quanhua Xu ; edited by Uwe Franz, Michael Schürmann.
260 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2008.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2008.
300 _bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1954
505 0 _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.
520 _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.
650 0 _aMathematics.
650 0 _aGlobal analysis.
650 0 _aPotential theory (Mathematics).
650 0 _aGlobal differential geometry.
650 0 _aQuantum computing.
650 1 4 _aMathematics.
650 2 4 _aGlobal Analysis and Analysis on Manifolds.
650 2 4 _aQuantum Computing, Information and Physics.
650 2 4 _aDifferential Geometry.
650 2 4 _aPotential Theory.
700 1 _aBouten, Luc.
_eauthor.
700 1 _aCipriani, Fabio.
_eauthor.
700 1 _aKonno, Norio.
_eauthor.
700 1 _aPrivault, Nicolas.
_eauthor.
700 1 _aXu, Quanhua.
_eauthor.
700 1 _aFranz, Uwe.
_eeditor.
700 1 _aSchürmann, Michael.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540693642
786 _dSpringer
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1954
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-540-69365-9
942 _2EBK1806
_cEBK
999 _c31100
_d31100