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Quantum Probability For Probabilists
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Book Synopsis Quantum Probability for Probabilists by : Paul-Andre Meyer
Download or read book Quantum Probability for Probabilists written by Paul-Andre Meyer and published by Springer. This book was released on 2013-11-11 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes contain all the material accumulated over six years in Strasbourg to teach "Quantum Probability" to myself and to an audience of commutative probabilists. The text, a first version of which appeared in successive volumes of the Seminaire de Probabilite8, has been augmented and carefully rewritten, and translated into international English. Still, it remains true "Lecture Notes" material, and I have resisted suggestions to publish it as a monograph. Being a non-specialist, it is important for me to keep the moderate right to error one has in lectures. The origin of the text also explains the addition "for probabilists" in the title : though much of the material is accessible to the general public, I did not care to redefine Brownian motion or the Ito integral. More precisely than "Quantum Probability" , the main topic is "Quantum Stochastic Calculus" , a field which has recently got official recognition as 81825 in the Math.
Book Synopsis Quantum Probability for Probabilists by : Paul André Meyer
Download or read book Quantum Probability for Probabilists written by Paul André Meyer and published by Springer. This book was released on 1993 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, the classical theory of stochastic integration and stochastic differential equations has been extended to a non-commutative set-up to develop models for quantum noises. The author, a specialist of classical stochastic calculus and martingale theory, tries to provide anintroduction to this rapidly expanding field in a way which should be accessible to probabilists familiar with the Ito integral. It can also, on the other hand, provide a means of access to the methods of stochastic calculus for physicists familiar with Fock space analysis.
Book Synopsis Quantum Probability for Probabilists by : Paul A. Meyer
Download or read book Quantum Probability for Probabilists written by Paul A. Meyer and published by . This book was released on 2014-01-15 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Quantum Probability Communications by : R. L. Hudson
Download or read book Quantum Probability Communications written by R. L. Hudson and published by World Scientific. This book was released on 1998 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Much has changed in the world of quantum probability since the publication of the last volume in this series. Giants in the field, such as P-A Meyer, K R Parthasarathy and W von Waldenfels, have reached the age of retirement. Readers will, however, be pleased to see evidence in the present volume that Partha remains as creatively active as ever. The field itself, regarded at one time as the esoteric province of a small group of devotees, has come of age. It has attracted the enthusiastic commitment of an ever-growing army of young mathematicians and physicists, many of whom are represented here.
Book Synopsis Quantum Probability by : Stanley P. Gudder
Download or read book Quantum Probability written by Stanley P. Gudder and published by Academic Press. This book was released on 2014-06-28 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum probability is a subtle blend of quantum mechanics and classical probability theory. Its important ideas can be traced to the pioneering work of Richard Feynman in his path integral formalism. Only recently have the concept and ideas of quantum probability been presented in a rigorous axiomatic framework, and this book provides a coherent and comprehensive exposition of this approach. It gives a unified treatment of operational statistics, generalized measure theory and the path integral formalism that can only be found in scattered research articles. The first two chapters survey the necessary background in quantum mechanics and probability theory and therefore the book is fairly self-contained, assuming only an elementary knowledge of linear operators in Hilbert space.
Book Synopsis Quantum Probability Communications by : Stéphane Attal
Download or read book Quantum Probability Communications written by Stéphane Attal and published by Springer Science & Business. This book was released on 2003 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Extensions of quantum stochastic calculus / Stéphane Attal -- Quantum Itô algebras: axioms, representations, decompositions / Viacheslav Belavkin -- Free probability for probabilists / Philippe Biane -- Conditional expectations on von Neumann algebras / Carlo Cecchini -- Classical probability theory: an outline of stochastic integrals and diffusions / Michel Émery -- Quantum stochastic differential equations / Franco Fagnola -- Canonical commutation and anticommutation relations / Mark Fannes -- Quantum and classical stochastic calculus / Alexander Holevo -- An introduction to quantum stochastic calculus and some of its applications / Robin Hudson -- Stationary processes in quantum probability / Burkhard Kümmerer
Book Synopsis Probabilities on the Heisenberg Group by : Daniel Neuenschwander
Download or read book Probabilities on the Heisenberg Group written by Daniel Neuenschwander and published by Springer. This book was released on 2006-11-14 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Heisenberg group comes from quantum mechanics and is the simplest non-commutative Lie group. While it belongs to the class of simply connected nilpotent Lie groups, it turns out that its special structure yields many results which (up to now) have not carried over to this larger class. This book is a survey of probabilistic results on the Heisenberg group. The emphasis lies on limit theorems and their relation to Brownian motion. Besides classical probability tools, non-commutative Fourier analysis and functional analysis (operator semigroups) comes in. The book is intended for probabilists and analysts interested in Lie groups, but given the many applications of the Heisenberg group, it will also be useful for theoretical phycisists specialized in quantum mechanics and for engineers.
Book Synopsis Quantum Probability and Related Topics by : L Accardi
Download or read book Quantum Probability and Related Topics written by L Accardi and published by World Scientific. This book was released on 1994-12-16 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Quantum Foundations, Probability and Information by : Andrei Khrennikov
Download or read book Quantum Foundations, Probability and Information written by Andrei Khrennikov and published by Springer. This book was released on 2018-06-13 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: Composed of contributions from leading experts in quantum foundations, this volume presents viewpoints on a number of complex problems through informational, probabilistic, and mathematical perspectives and features novel mathematical models of quantum and subquantum phenomena. Rich with multi-disciplinary mathematical content, this book includes applications of partial differential equations in quantum field theory, differential geometry, oscillatory processes and vibrations, and Feynman integrals for quickly growing potential functions. Due to rapid growth in the field in recent years, this volume aims to promote interdisciplinary collaboration in the areas of quantum probability, information, communication and foundation, and mathematical physics. Many papers discuss complex yet novel problems that depart from the mainstream of quantum physical studies. Others devote explanation to fundamental problems of the conventional quantum theory, including its mathematical formalism. Overall, authors cover a diverse set of topics, including quantum and classical field theory and oscillatory processing, quantum mechanics from a Darwinian evolutionary perspective, and biological applications of quantum theory. Together in one volume, these essays will be useful to experts in the corresponding areas of quantum theory. Theoreticians, experimenters, mathematicians, and even philosophers in quantum physics and quantum probability and information theory can consider this book a valuable resource.
Book Synopsis Quantum Probability and Applications V by : Luigi Accardi
Download or read book Quantum Probability and Applications V written by Luigi Accardi and published by Springer. This book was released on 2006-11-14 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Quantum Probability Communications by : S Attal
Download or read book Quantum Probability Communications written by S Attal and published by World Scientific. This book was released on 2003 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Quantum Probability and Applications II by : Luigi Accardi
Download or read book Quantum Probability and Applications II written by Luigi Accardi and published by Springer. This book was released on 2006-11-14 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Quantum Probability Communications by : S Attal
Download or read book Quantum Probability Communications written by S Attal and published by World Scientific. This book was released on 2003-06-27 with total page 604 pages. Available in PDF, EPUB and Kindle. Book excerpt: 0Keywords:Mathematics;Mathematical Physics;Quantum Probability;Stochastic Calculus;Noncommutative Probability;Free Probability
Book Synopsis Quantum Probability Communications Qp-Pq by : J. M Lindsay
Download or read book Quantum Probability Communications Qp-Pq written by J. M Lindsay and published by World Scientific. This book was released on 2003 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Quantum Probability And Infinite Dimensional Analysis - Proceedings Of The 26th Conference by : Luigi Accardi
Download or read book Quantum Probability And Infinite Dimensional Analysis - Proceedings Of The 26th Conference written by Luigi Accardi and published by World Scientific. This book was released on 2007-07-12 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the latest results in the fields of quantum probability and infinite dimensional analysis. The contributions range from classical probability, 'pure' functional analysis and foundations of quantum mechanics to applications in mathematical physics, quantum information theory and modern mathematical finance. This diversity illustrates that research in quantum probability and infinite dimensional analysis is very active and strongly involved in modern mathematical developments and applications.
Book Synopsis An Introduction to the Mathematical Structure of Quantum Mechanics by : F Strocchi
Download or read book An Introduction to the Mathematical Structure of Quantum Mechanics written by F Strocchi and published by World Scientific Publishing Company. This book was released on 2005-11-17 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book arises out of the need for Quantum Mechanics (QM) to be part of the common education of mathematics students. Rather than starting from the Dirac–Von Neumann axioms, the book offers a short presentation of the mathematical structure of QM using the C–-algebraic structure of the observable based on the operational definition of measurements and the duality between states and observables. The description of states and observables as Hilbert space vectors and operators is then derived from the GNS and Gelfand-Naimark Theorems. For finite degrees of freedom, the Weyl algebra codifies the experimental limitations on the measurements of position and momentum (Heisenberg uncertainty relations) and Schroedinger QM follows from the von Neumann uniqueness theorem. The existence problem of the dynamics is related to the self-adjointness of the differential operator describing the Hamiltonian and solved by the Rellich–Kato theorems. Examples are discussed which include the explanation of the discreteness of the atomic spectra. Because of the increasing interest in the relation between QM and stochastic processes, a final chapter is devoted to the functional integral approach (Feynman–Kac formula), the formulation in terms of ground state correlations (Wightman functions) and their analytic continuation to imaginary time (Euclidean QM). The quantum particle on a circle as an example of the interplay between topology and functional integral is also discussed in detail.
