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

Luigi Accardi, Alberto Frigerio, Yun-Gang Lu (auth.), Luigi Accardi, Wilhelm von Waldenfels (eds.)3540530266, 9783540530268, 0387530266

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

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Table of contents :
Quantum Langevin equation in the weak coupling limit….Pages 1-16
On the low density limit of Boson models….Pages 17-53
Quantum stochastic flows and non abelian cohomology….Pages 54-69
Quantum diffusions on involutive algebras….Pages 70-85
Some Markov semigroups in quantum probability….Pages 86-98
A quantum stochastic calculus in fock space of input and output nondemolition processes….Pages 99-125
Stochastic transitions on preduals of von Neumann algebras….Pages 126-130
Quantum stochastic calculus and a boson Levy theorem….Pages 131-144
Locally independent boson systems….Pages 145-161
Time-inhomogeneous and nonlinear quantum evolutions….Pages 162-176
Quantum poisson processes: Physical motivations and applications….Pages 177-177
Quantum central limit and coarse graining….Pages 178-193
An open problem in quantum shot noise….Pages 194-203
A method of operator estimation and a strong law of large numbers in von Neumann algkbras….Pages 204-210
An analog of the Ito decomposition for multiplicative processes with values in a Lie group….Pages 211-215
Stochastic dilations of quantum dynamical semigroups using one-dimensional quantum stochastic calculus….Pages 216-218
Sluggish decay of preparation effects in low temperature quantum systems….Pages 219-230
Almost sure convergence of iterates of contractions in noncommutative L 2 -spaces….Pages 231-246
Duality transform as *-algebraic isomorphism….Pages 247-250
Rigidity of the poisson convolution….Pages 251-262
A discrete entropic uncertainty relation….Pages 263-266
Working with Quantum Markov States and their classical analogues….Pages 267-285
Dynamical entropy, quantum K -systems and clustering….Pages 286-295
A continuous time version of Stinespring’s theorem on completely positive maps….Pages 296-300
The topology of the convergence in probability in a W*-algebra is normal….Pages 301-310
First steps towards a Donsker and Varadhan theory in operator algebras….Pages 311-319
Quantum conditional probability spaces….Pages 320-325
Quantum diffusions on the rotation algebras and the quantum hall effect….Pages 326-333
Quantum dirichlet forms, differential calculus and semigroups….Pages 334-346
Gaussian states on bialgebras….Pages 347-367
Quantum macrostatistics and irreversible thermodynamics….Pages 368-383
Correction to the hydrodynamical approximation for groups of Bogoljubov transformations….Pages 384-392
Bell’s inequalities and quantum field theory….Pages 393-413