Quantum Probability And Related Topics Qp Pq Volume Vi
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Quantum Probability And Related Topics Qp Pq Volume Vi
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Author : Luigi Accardi
language : en
Publisher: World Scientific
Release Date : 1991-10-31
Quantum Probability And Related Topics Qp Pq Volume Vi written by Luigi Accardi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-10-31 with Mathematics categories.
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.
Quantum Probability And Related Topics Qp Pq Volume Vii
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Author : Luigi Accardi
language : en
Publisher: World Scientific
Release Date : 1992-07-17
Quantum Probability And Related Topics Qp Pq Volume Vii written by Luigi Accardi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-07-17 with Mathematics categories.
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.
Quantum Probability Related Topics
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Author : Luigi Accardi
language : en
Publisher: World Scientific
Release Date : 1991
Quantum Probability Related Topics written by Luigi Accardi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.
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.
Quantum Probability And Related Topics Qp Pq Volume Ix
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Author : Luigi Accardi
language : en
Publisher: World Scientific
Release Date : 1994-12-16
Quantum Probability And Related Topics Qp Pq Volume Ix written by Luigi Accardi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-12-16 with Mathematics categories.
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.
Proceedings Of The Conference Quantum Probability And Infinite Dimensional Analysis
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Author : Wolfgang Freudenberg
language : en
Publisher: World Scientific
Release Date : 2003
Proceedings Of The Conference Quantum Probability And Infinite Dimensional Analysis written by Wolfgang Freudenberg and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Science categories.
This volume consists of 18 research papers reflecting the impressive progress made in the field. It includes new results on quantum stochastic integration, the stochastic limit, quantum teleportation and other areas. Contents: Markov Property -- Recent Developments on the Quantum Markov Property (L Accardi & F Fidaleo); Stationary Quantum Stochastic Processes from the Cohomological Point of View (G G Amosov); The Feller Property of a Class of Quantum Markov Semigroups II (R Carbone & F Fagnola); Recognition and Teleportation (K-H Fichtner et al.); Prediction Errors and Completely Positive Maps (R Gohm); Multiplicative Properties of Double Stochastic Product Integrals (R L Hudson); Isometric Cocycles Related to Beam Splittings (V Liebscher); Multiplicativity via a Hat Trick (J M Lindsay & S J Wills); Dilation Theory and Continuous Tensor Product Systems of Hilbert Modules (M Skeide); Quasi-Free Fermion Planar Quantum Stochastic Integrals (W J Spring & I F Wilde); and other papers.
Quantum Probability And Infinite Dimensional Analysis From Foundations To Appllications
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Author : Uwe Franz
language : en
Publisher: World Scientific
Release Date : 2005-01-12
Quantum Probability And Infinite Dimensional Analysis From Foundations To Appllications written by Uwe Franz and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-01-12 with Mathematics categories.
This volume collects research papers in quantum probability and related fields and reflects the recent developments in quantum probability ranging from the foundations to its applications.
Quantum Probability Communications Qp Pq Volumes 12
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Author : J Martin Lindsay
language : en
Publisher: World Scientific
Release Date : 2003-06-27
Quantum Probability Communications Qp Pq Volumes 12 written by J Martin Lindsay and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-06-27 with Mathematics categories.
Lecture notes from a Summer School on Quantum Probability held at the University of Grenoble are collected in these two volumes of the QP-PQ series. The articles have been refereed and extensively revised for publication. It is hoped that both current and future students of quantum probability will be engaged, informed and inspired by the contents of these two volumes. An extensive bibliography containing the references from all the lectures is included in Volume 12.
Quantum Probability And Infinite Dimensional Analysis Proceedings Of The Conference
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Author : Wolfgang Freudenberg
language : en
Publisher: World Scientific
Release Date : 2003-01-28
Quantum Probability And Infinite Dimensional Analysis Proceedings Of The Conference written by Wolfgang Freudenberg and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-01-28 with Mathematics categories.
This volume consists of 18 research papers reflecting the impressive progress made in the field. It includes new results on quantum stochastic integration, quantum Markov processes, the stochastic limit, quantum teleportation and other areas.
Fundamental Aspects Of Quantum Physics
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Author : Luigi Accardi
language : en
Publisher: World Scientific
Release Date : 2003
Fundamental Aspects Of Quantum Physics written by Luigi Accardi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
This volume includes new topics such as the stochastic limit approach to nonequilibrium states, a new algebraic approach to relativistic nonequilibrium local states, classical and quantum features of weak chaos, transports in quantum billiards, the WelcherOCoWeg puzzle with a decaying atom, and the topics related to the quantum Zeno effect.The proceedings have been selected for coverage in: OCo Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)"
Non Commutativity Infinite Dimensionality And Probability At The Crossroads
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Author : Nobuaki Obata
language : en
Publisher: World Scientific
Release Date : 2003-01-16
Non Commutativity Infinite Dimensionality And Probability At The Crossroads written by Nobuaki Obata and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-01-16 with Mathematics categories.
Infinite-dimensional analysis and quantum probability have undergone significant developments in the last few years and created many applications. This volume includes four expository articles on recent developments in quantum field theory, quantum stochastic differential equations, free probability and quantum white noise calculus, which are targeted also for graduate study. The fourteen research papers deal with most of the current topics, and their interconnections reflect a vivid development in interacting Fock space, infinite-dimensional groups, stochastic independence, non-commutative central limit theorems, stochastic geometry, and so on.