Ebook: Quantum Probability and Applications V: Proceedings of the Fourth Workshop, held in Heidelberg, FRG, Sept. 26–30, 1988
Author: Luigi Accardi Alberto Frigerio Yun-Gang Lu (auth.) Luigi Accardi Wilhelm von Waldenfels (eds.)
- Tags: Mathematical and Computational Physics, Probability Theory and Stochastic Processes
- Series: Lecture Notes in Mathematics 1442
- Year: 1990
- Publisher: Springer-Verlag Berlin Heidelberg
- Edition: 1
- Language: English
- pdf
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.
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.
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.
Content:
Front Matter....Pages -
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 L2-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
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.
Content:
Front Matter....Pages -
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 L2-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
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