04478nam 2200673 450 99646653970331620220305171013.03-540-38846-X10.1007/BFb0078049(CKB)1000000000437502(SSID)ssj0000326049(PQKBManifestationID)12124459(PQKBTitleCode)TC0000326049(PQKBWorkID)10266553(PQKB)11550250(DE-He213)978-3-540-38846-3(MiAaPQ)EBC5579384(Au-PeEL)EBL5579384(OCoLC)1066199633(MiAaPQ)EBC6842875(Au-PeEL)EBL6842875(OCoLC)793079050(PPN)155172522(EXLCZ)99100000000043750220220305d1988 uy 0engurnn|008mamaatxtccrQuantum probability and applicationsIII proceedings of a conference held in Oberwolfach, FRG, January 25-31, 1987 /L. Accardi, W. von Waldenfels (editors)1st ed. 1988.Berlin :Springer-Verlag,1988.1 online resource (VIII, 376 p.) Lecture notes in mathematics ;1303Bibliographic Level Mode of Issuance: Monograph3-540-18919-X Includes bibliographical references.A note on Meyer's note -- Stochastic integration -- Quantum stochastic parallel transport on non-commutative vector bundles -- Input and output channels in quantum systems and quantum stochastic differential equations -- Some noncommutative Radon-Nikodym Theorems for von Neumann algebras -- Multidimensional quantum diffusions -- An application of de finetti's theorem -- The quantum Langevin equation from the independent-oscillator model -- Quantum poisson processes: Physical motivations and applications -- A noncommutative generalization of conditionally positive definite functions -- Contraction semigroups in L2 over a von neumann algebra -- Survey on a theory of non-commutative stationary markov processes -- Dynamical entropy for quantum systems -- An integral kernel approach to noise -- A note on shifts and cocycles -- Local measures in fock space stochastic calculus and a generalized ito-tanaka formula -- Representation of a class of quantum martingales II -- Conditional expectation in quantum probability -- Mutual quadratic variation and ito's table in quantum stochastic calculus -- On mixing properties of automorphisms of von neumann algebras related to measure space transformations -- First exit time: A theory of stopping times in quantum processes -- A central limit theorem on the free lie group -- Entropy, observability and the generalised second law of thermodynamics -- Remarks on asymptotic properties of groups of the bogoliubov transformations of car c*-algebras -- Linear and non-linear stochastic processes -- Detailed balance and critical slowing down -- Quantum martingales and stochastic integrals.These proceedings of the first Quantum Probability meeting held in Oberwolfach is the fourth in a series begun with the 1982 meeting of Mondragone and continued in Heidelberg ('84) and in Leuven ('85). The main topics discussed were: quantum stochastic calculus, mathematical models of quantum noise and their applications to quantum optics, the quantum Feynman-Kac formula, quantum probability and models of quantum statistical mechanics, the notion of conditioning in quantum probability and related problems (dilations, quantum Markov processes), quantum central limit theorems. With the exception of Kümmerer's review article on Quantum Markov Processes, all contributions are original research papers.Lecture notes in mathematics (Springer-Verlag) ;1303.ProbabilitiesCongressesStochastic processesCongressesQuantum theoryCongressesMarkov processesCongressesProbabilitiesStochastic processesQuantum theoryMarkov processes519.2Accardi L(Luigi),1947-319693Waldenfels W. von(Wilhelm),1932-55332MiAaPQMiAaPQMiAaPQBOOK996466539703316Quantum probability and applications2856074UNISA