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Title Quantum probability and infinite dimensional analysis : from foundations to applications / editors, Michael Schürmann, Uwe Franz
Published Singapore ; Hackensack, NJ : World Scientific, ©2005

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Description 1 online resource (ix, 535 pages) : illustrations
Series QP-PQ: quantum probability and white noise analysis ; v. XVIII
QP-PQ, quantum probability and white noise analysis ; v. 18.
Contents Probability measures in terms of creation, annihilation, and neutral operators -- Semi groupes associes B l¿operateur de Laplace-Levy -- Stochastic golden rule for a system interacting with a Fermi field -- Generating function method for orthogonal polynomials and Jacobi-Szego parameters -- Low temperature superconductivity and the stochastic limit -- Multiquantum Markov semigroups, interacting branching processes and nonlinear kinetic equations. Finite dimensional case -- A note on vacuum- adapted semimartingales and monotone Independence -- Quantum stochastic processes and applications -- Regular quantum stochastic cocycles have exponential product systems -- Evolution of the atom-field system in interacting fock space -- Quantum mechanics on the circle through hopf q-Deformations of the kinematical algebra with possible applications to lQvy processes -- On algebraic and quantum random walks -- Dual representations for the Schrodinger algebra -- Harmonic analysis on non- amenable coxeter groups -- A limit theorem for conditionally independent beam splittings -- On factors associated with quantum Markov states Ccrresponding to nearest neighbor models on a Cayley tree -- On quantum logical gates on a general fock space -- The chaotic chameleon -- On an argument of David Deutsch -- Volterra representations of gaussian processes with an infinite-dimensional orthogonal complement -- The method of double product integrals in quantisation of lie bialgebras -- On noncommutative independence -- Lkvy processes and Jacobi fields -- k-Decomposability of positive maps -- An introduction to lBvy processes in lie groups -- Duality of W*-correspondences and applications -- Extendability of generalized quantum Markov states -- White noise approach to the low density limit -- Asymptotics of large truncated haar unitary matrices -- Quantum optical scenarios for stochastic resonance -- On a classical scheme in a noncommutative multiparameter ergodic theory -- LBvy processes and tensor product systems of Hilbert modules -- Three ways to representations of BA(E) -- The Hamiltonian of a simple pure number process -- On topological entropy of quotients and extensions
Summary This volume collects research papers in quantum probability and related fields and reflects the recent developments in quantum probability ranging from the foundations to its applications
Analysis Quantum probability
Infinite dimensional analysis
Notes "Krupp-Kolleg Greifswald, Germany, 22-28 June 2003."
Papers collected from a school, three workshops and an international conference
Bibliography Includes bibliographical references
Notes Print version record
Subject Probabilities -- Congresses
Quantum theory -- Congresses
Dimensional analysis -- Congresses
SCIENCE -- Physics -- Quantum Theory.
Dimensional analysis.
Probabilities.
Quantum theory.
Probabilites -- Congres.
Theorie quantique -- Congres.
Analyse dimensionnelle -- Congres.
Genre/Form Conference papers and proceedings.
Form Electronic book
Author Schürmann, Michael, 1955-
Franz, Uwe
LC no. 2007296176
ISBN 9812702105
9789812702104