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Quantum Probability and Applications V: Proceedings of the Fourth Workshop, held in Heidelberg, FRG, Sept. 26-30, 1988: Lecture Notes in Mathematics, cartea 1442

Editat de Luigi Accardi, Wilhelm v. Waldenfels
en Limba Engleză Paperback – 26 sep 1990
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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Specificații

ISBN-13: 9783540530268
ISBN-10: 3540530266
Pagini: 428
Ilustrații: VIII, 420 p.
Dimensiuni: 155 x 235 x 22 mm
Greutate: 1.32 kg
Ediția:1990
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Mathematics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

Quantum Langevin equation in the weak coupling limit.- On the low density limit of Boson models.- Quantum stochastic flows and non abelian cohomology.- Quantum diffusions on involutive algebras.- Some Markov semigroups in quantum probability.- A quantum stochastic calculus in fock space of input and output nondemolition processes.- Stochastic transitions on preduals of von Neumann algebras.- Quantum stochastic 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.- Stochastic dilations of quantum dynamical semigroups using one-dimensional quantum stochastic 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.