Quantum Probability and Applications V: Proceedings of the Fourth Workshop, held in Heidelberg, FRG, Sept. 26-30, 1988 / Edition 1

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These proceedings of the workshop on quantum probability held in Heidelberg, September 26-30, 1988 contains a representative selection of research articles on quantum shastic processes, quantum shastic calculus, quantum noise, geometry, quantum probability, quantum central limit theorems and quantum statistical mechanics.

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Product Details

  • ISBN-13: 9783540530268
  • Publisher: Springer Berlin Heidelberg
  • Publication date: 11/2/1990
  • Series: Lecture Notes in Mathematics Series, #1442
  • Edition description: 1990
  • Edition number: 1
  • Pages: 420
  • Product dimensions: 6.10 (w) x 9.20 (h) x 1.00 (d)

Table of Contents

Quantum Langevin equation in the weak coupling limit.- On the low density limit of Boson models.- Quantum shastic flows and non abelian cohomology.- Quantum diffusions on involutive algebras.- Some Markov semigroups in quantum probability.- A quantum shastic calculus in fock space of input and output nondemolition processes.- Shastic transitions on preduals of von Neumann algebras.- Quantum shastic calculus and a boson Levy theorem.- Locally independent boson systems.- Time-inhomogeneous and nonlinear quantum evolutions.- Quantum poisson processes: Physical motivations and applications.- Quantum central limit and coarse graining.- An open problem in quantum shot noise.- A method of operator estimation and a strong law of large numbers in von Neumann algkbras.- An analog of the Ito decomposition for multiplicative processes with values in a Lie group.- Shastic dilations of quantum dynamical semigroups using one-dimensional quantum shastic calculus.- Sluggish decay of preparation effects in low temperature quantum systems.- Almost sure convergence of iterates of contractions in noncommutative L2-spaces.- Duality transform as *-algebraic isomorphism.- Rigidity of the poisson convolution.- A discrete entropic uncertainty relation.- Working with Quantum Markov States and their classical analogues.- Dynamical entropy, quantum K-systems and clustering.- A continuous time version of Stinespring’s theorem on completely positive maps.- The topology of the convergence in probability in a W*-algebra is normal.- First steps towards a Donsker and Varadhan theory in operator algebras.- Quantum conditional probability spaces.- Quantum diffusions on the rotation algebras and the quantum hall effect.- Quantum dirichlet forms, differential calculus and semigroups.- Gaussian states on bialgebras.- Quantum macrostatistics and irreversible thermodynamics.- Correction to the hydrodynamical approximation for groups of Bogoljubov transformations.- Bell’s inequalities and quantum field theory.

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