Quantum Probability And Related Topics

Author : Franco Fagnola
Publisher : World Scientific
Page : 280 pages
File Size : 54,6 Mb
Release : 2013
Category : Mathematics
ISBN : 9789814447546

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Quantum Probability and Related Topics by Franco Fagnola Pdf

This volume contains the current research in quantum probability, infinite dimensional analysis and related topics. Contributions by experts in these fields highlight the latest developments and interdisciplinary connections with classical probability, stochastic analysis, white noise analysis, functional analysis and quantum information theory.This diversity shows how research in quantum probability and infinite dimensional analysis is very active and strongly involved in the modern mathematical developments and applications.Tools and techniques presented here will be of great value to resear.

Author : Mark Kac
Publisher : American Mathematical Soc.
Page : 266 pages
File Size : 46,8 Mb
Release : 1959-12-31
Category : Mathematics
ISBN : 9780821800478

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Probability and Related Topics in Physical Sciences by Mark Kac Pdf

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Author : L. Accardi
Publisher : World Scientific
Page : 390 pages
File Size : 45,5 Mb
Release : 1993
Category : Science
ISBN : 9810211406

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Quantum Probability and Related Topics by L. Accardi Pdf

Quantum Probability and Related Topics is a series of volumes based on material discussed at the various QP conferences. It aims to provide an update on the rapidly growing field of classical probability, quantum physics and functional analysis.

Author : Luigi Accardi
Publisher : World Scientific
Page : 544 pages
File Size : 46,5 Mb
Release : 1991
Category : Mathematics
ISBN : 9810207166

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Quantum Probability & Related Topics by Luigi Accardi Pdf

This volume contains several surveys of important developments in quantum probability. The new type of quantum central limit theorems, based on the notion of free independence rather than the usual Boson or Fermion independence is discussed. A surprising result is that the role of the Gaussian for this new type of independence is played by the Wigner distribution. This motivated the introduction of new type of quantum independent increments noise, the free noise and the corresponding stochastic calculus. A further generalization, the ?-noises, is discussed. The free stochastic calculus is shown to be able to fit naturally into the general representation free calculus. The basic free are shown to be realized as non-adapted stochastic integrals with respect to the usual Boson white noises. Quantum noise on the finite difference algebra is expressed in terms of the usual Boson white noises. A new quantum way of looking at classical stochastic flows, in particular diffusions on Riemannian Manifolds is explained. Quantum groups are discussed from the point of view of possible applications to quantum probability. The applications of quantum probability to physics are surveyed.

Author : Luigi Accardi
Publisher : World Scientific
Page : 380 pages
File Size : 53,8 Mb
Release : 1993-09-30
Category : Mathematics
ISBN : 9789814505208

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Quantum Probability And Related Topics: Volume Viii by Luigi Accardi Pdf

Quantum Probability and Related Topics is a series of volumes based on material discussed at the various QP conferences. It aims to provide an update on the rapidly growing field of classical probability, quantum physics and functional analysis.

Author : L Accardi
Publisher : World Scientific
Page : 420 pages
File Size : 41,7 Mb
Release : 1994-12-16
Category : Science
ISBN : 9789814501309

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Quantum Probability and Related Topics by L Accardi Pdf

Quantum Probability and Related Topics is a series of volumes whose goal is to provide a picture of the state of the art in this rapidly growing field where classical probability, quantum physics and functional analysis merge together in an original synthesis which, for 20 years, has been enriching these three areas with new ideas, techniques and results. Contents:On the Stochastic Limit of Quantum Chromodynamics (L Accardi et al.)Flows and Imprimitivity Systems (L Accardi et al.)Fermion Stochastic Flows on Quantum Algebras (D Applebaum)Examples of Unbounded Generators Leading to Nonconservative Minimal Semigroups (B V R Bhat & K B Sinha)On the Structure of Quantum Markov Processes (C Cecchini)Diffusion Processes in Fock Space (F Fagnola)On the Isomorphism of Poisson Space and Symmetric Fock Space (V Liebscher)Non-Linear Master Equation and Non-Crossing Cumulants (P Neu & R Speicher)A General Central Limit Theorem and Invariance Principle (R Speicher & W von Waldenfels)and other papers Readership: Mathematicians and mathematical physicists. keywords:Quantum Probability;Classical Probability;Quantum Algebras;Quantum Markov Processes;Fock Space;Mathematical Physics;White Noise

Author : Luigi Accardi,Franco Fagnola
Publisher : World Scientific
Page : 280 pages
File Size : 40,6 Mb
Release : 2013
Category : Mathematics
ISBN : 9789814447539

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Quantum Probability and Related Topics by Luigi Accardi,Franco Fagnola Pdf

This volume contains the current research in quantum probability, infinite dimensional analysis and related topics. Contributions by experts in these fields highlight the latest developments and interdisciplinary connections with classical probability, stochastic analysis, white noise analysis, functional analysis and quantum information theory. This diversity shows how research in quantum probability and infinite dimensional analysis is very active and strongly involved in the modern mathematical developments and applications. Tools and techniques presented here will be of great value to researchers.

Author : L Accardi
Publisher : World Scientific
Page : 388 pages
File Size : 45,5 Mb
Release : 1992-07-17
Category : Science
ISBN : 9789814505451

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Quantum Probability and Related Topics by L Accardi Pdf

Quantum Probability and Related Topics is a series of volumes based on materials discussed in the various QP conferences. It aims at providing an update on the rapidly growing field of classical probability, quantum physics and functional analysis. Contents:From Markovian Approximation to a New Type of Quantum Stochastic Calculus (L Accardi & Y G Lu)Unitarity of Solutions to Quantum Stochastic Differential Equations and Conservativity of the Associated Semigroups (F Fagnola)Kernel Representation of ∗-Semigroups Associated with Infinitely Divisible States (V P Belavkin)Minimal Solutions in Classical and Quantum Stochastics (A M Chebotarev)Structure Relations for Fermionic Flows (R L Hudson & P A Shepperson)Fermionic Hypercontractivity (J M Lindsay & P A Meyer)Large Deviations and Mean-Field Quantum Systems (R F Werner)and other papers Readership: Mathematicians and mathematical physicists. keywords:Quantum Probability

Author : L Accardi
Publisher : World Scientific
Page : 532 pages
File Size : 53,8 Mb
Release : 1991-10-31
Category : Science
ISBN : 9789814506151

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Quantum Probability and Related Topics by L Accardi Pdf

This volume contains several surveys of important developments in quantum probability. The new type of quantum central limit theorems, based on the notion of free independence rather than the usual Boson or Fermion independence is discussed. A surprising result is that the role of the Gaussian for this new type of independence is played by the Wigner distribution. This motivated the introduction of new type of quantum independent increments noise, the free noise and the corresponding stochastic calculus. A further generalization, the ϖ-noises, is discussed. The free stochastic calculus is shown to be able to fit naturally into the general representation free calculus. The basic free are shown to be realized as non-adapted stochastic integrals with respect to the usual Boson white noises. Quantum noise on the finite difference algebra is expressed in terms of the usual Boson white noises. A new quantum way of looking at classical stochastic flows, in particular diffusions on Riemannian Manifolds is explained. Quantum groups are discussed from the point of view of possible applications to quantum probability. The applications of quantum probability to physics are surveyed. Contents:An Invitation to the Weak Coupling and Low Density Limits (L Accardi et al.)Quantum Markov Chains: The Recurrence Problem (L Accardi & D Koroliuk)Towards a Quantum Theory of Classical Diffusions on Riemannian Manifolds (D Applebaum)Applications of Quantum Stochastic Calculus to Quantum Optics (A Barchielli)On Quantum Stochastic Integration with Respect to “Free” Noises (F Fagnola)Fractal Dimensions of States (M Ohya)Quantum Groups and Quantum Probability (S Majid)Unification of Quantum Noise Processes in Fock Spaces (K R Parthasarathy & K B Sinha)Survey on the Stochastic Integration on the Full Fock Space (R Speicher)A Spectral Property of One Parameter Family of Sampling Functions — From Signal Analysis to Functional Analysis (H Umegaki)Free Noncommutative Random Variables, Random Matrices and II1 Factors of Free Groups (D Voiculescu)Classical and Quantum Intrinsically Random Dynamical SystemsAn Invitation to the Prigogine Theory of Irreversibility (A Weron & K Weron)and other papers Readership: Mathematicians. keywords:Quantum Probability

Author : Noboru Watanabe,Luigi Accardi,Si Si
Publisher : World Scientific
Page : 306 pages
File Size : 55,5 Mb
Release : 2023-10-25
Category : Mathematics
ISBN : 9789811276002

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Infinite Dimensional Analysis, Quantum Probability And Related Topics, Qp38 - Proceedings Of The International Conference by Noboru Watanabe,Luigi Accardi,Si Si Pdf

This volume aims to return to the starting point of the fields of infinite dimensional analysis and quantum probability, fields that are growing rapidly at present, and to seriously attempt mutual interaction between the two, with a view to enumerating and solving the many fundamental problems they entail. For such a purpose, we look for interdisciplinary bridges in mathematics including classical probability and to different branches of physics, in particular, research for new paradigms for information science on the basis of quantum theory.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 51,5 Mb
Release : 2024-05-08
Category : Electronic
ISBN : 9789814469760

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Quantum Probability and Related Topics by Anonim Pdf

Author : Rolando Rebolledo,Miguel Orszag
Publisher : World Scientific
Page : 340 pages
File Size : 40,7 Mb
Release : 2011-01-19
Category : Mathematics
ISBN : 9789814462174

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Quantum Probability and Related Topics by Rolando Rebolledo,Miguel Orszag Pdf

This volume contains current work at the frontiers of research in quantum probability, infinite dimensional stochastic analysis, quantum information and statistics. It presents a carefully chosen collection of articles by experts to highlight the latest developments in those fields. Included in this volume are expository papers which will help increase communication between researchers working in these areas. The tools and techniques presented here will be of great value to research mathematicians, graduate students and applied mathematicians. Contents:Existence of the Fock Representation for Current Algebras of the Galilei Algebra (L Accardi et al.)Modular Structures and Landau Levels (F Bagarello)On Spectral Approach to Pascal White Noise Functionals (A Barhoumi et al.)Spectral Analysis for Twisted Waveguides (P Briet)On the Classification of Invarient State of Generic Quantum Markov Semigroups: The Gaussian Gauge Invariant Case (S Hachicha)On Difficulties Appearing in the Study of Stochastic Volterra Equations (A Karczewska)Entanglement Protection and Generation in a Two-Atom System (M Orszag)Hilbert Molecules — Square Roots of Positive Maps (M Skeide)Multiparameter Quantum Stochastic Processes (W J Spring)and other papers Readership: Researchers in mathematical physics, stochastic analysis and probability and statistics. Keywords:Quantum Probability;Quantum Markov Semigroups;Entanglement;Quantum Information;Quantum Statistics;Quantum Dilations;Quantum Measurements;Non-Markovian Open Systems

Author : J. C. Garc¡a,R. Quezada,S. B. Sontz
Publisher : World Scientific
Page : 288 pages
File Size : 49,6 Mb
Release : 2008
Category : Mathematics
ISBN : 9789812835260

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Quantum Probability and Related Topics by J. C. Garc¡a,R. Quezada,S. B. Sontz Pdf

"This volume contains recent results in quantum probability and related topics. The contributions include peer-reviewed papers on interacting Fock space and orthogonal polynomials, quantum Markov semigroups, infinitely divisible processes, free probability, white noise, quantum filtering and control, quantum information, dilations, applications of quantum probability in physics, and quantum and classical models in biology. This diversity reflects the strong and constructive relations between quantum probability and different sectors of mathematics, physics, and other sciences and technologies."--BOOK JACKET.

Author : Rolando Rebolledo,Miguel Orszag
Publisher : World Scientific
Page : 339 pages
File Size : 49,9 Mb
Release : 2011
Category : Mathematics
ISBN : 9789814338738

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Quantum Probability and Related Topics by Rolando Rebolledo,Miguel Orszag Pdf

This volume contains current work at the frontiers of research in quantum probability, infinite dimensional stochastic analysis, quantum information and statistics. It presents a carefully chosen collection of articles by experts to highlight the latest developments in those fields. Included in this volume are expository papers which will help increase communication between researchers working in these areas. The tools and techniques presented here will be of great value to research mathematicians, graduate students and applied mathematicians.

Author : Luigi Accardi
Publisher : World Scientific
Page : 426 pages
File Size : 48,9 Mb
Release : 1994
Category : Mathematics
ISBN : 9810220472

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Quantum Probability and Related Topics by Luigi Accardi Pdf

Quantum Probability and Related Topics is a series of volumes whose goal is to provide a picture of the state of the art in this rapidly growing field where classical probability, quantum physics and functional analysis merge together in an original synthesis which, for 20 years, has been enriching these three areas with new ideas, techniques and results.