Quantum Probability Related Topics PDF Download
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Author | : Luigi Accardi |
Publisher | : World Scientific |
Total Pages | : 544 |
Release | : 1991 |
Genre | : Mathematics |
ISBN | : 9789810207168 |
Download Quantum Probability & Related Topics Book in PDF, ePub and Kindle
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 | : L. Accardi |
Publisher | : World Scientific |
Total Pages | : 390 |
Release | : 1993 |
Genre | : Science |
ISBN | : 9789810211400 |
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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 | : Franco Fagnola |
Publisher | : World Scientific |
Total Pages | : 280 |
Release | : 2012-11-22 |
Genre | : Mathematics |
ISBN | : 9814447552 |
Download Quantum Probability And Related Topics - Proceedings Of The 32nd Conference Book in PDF, ePub and Kindle
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 | : Luigi Accardi |
Publisher | : World Scientific Publishing |
Total Pages | : 523 |
Release | : 1991-01-01 |
Genre | : Science |
ISBN | : 9789810206802 |
Download Quantum Probability and Related Topics Book in PDF, ePub and Kindle
Author | : Franco Fagnola |
Publisher | : World Scientific |
Total Pages | : 280 |
Release | : 2013 |
Genre | : Mathematics |
ISBN | : 9814447544 |
Download Quantum Probability and Related Topics Book in PDF, ePub and Kindle
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 | : Rolando Rebolledo |
Publisher | : World Scientific |
Total Pages | : 339 |
Release | : 2011-01-19 |
Genre | : Mathematics |
ISBN | : 9814462179 |
Download Quantum Probability And Related Topics - Proceedings Of The 30th Conference Book in PDF, ePub and Kindle
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 | : J. C. Garc¡a |
Publisher | : World Scientific |
Total Pages | : 288 |
Release | : 2008 |
Genre | : Mathematics |
ISBN | : 9812835261 |
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"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 | : Luigi Accardi |
Publisher | : World Scientific |
Total Pages | : 400 |
Release | : 1992 |
Genre | : Science |
ISBN | : 9789810219796 |
Download Quantum Probability & Related Topics Book in PDF, ePub and Kindle
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.
Author | : Luigi Accardi |
Publisher | : World Scientific |
Total Pages | : 544 |
Release | : 1991-10-31 |
Genre | : Mathematics |
ISBN | : 981450615X |
Download Quantum Probability And Related Topics: Qp-pq (Volume Vi) Book in PDF, ePub and Kindle
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.
Author | : Luigi Accardi |
Publisher | : World Scientific Publishing Company |
Total Pages | : 0 |
Release | : 2023-10-25 |
Genre | : Mathematics |
ISBN | : 9789811275982 |
Download Infinite Dimensional Analysis, Quantum Probability and Related Topics Book in PDF, ePub and Kindle
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.