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Quantum Probability And Applications Iii
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Book Synopsis Quantum Probability and Applications III by : Luigi Accardi
Download or read book Quantum Probability and Applications III written by Luigi Accardi and published by Springer. This book was released on 2006-11-15 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings of the first Quantum Probability meeting held in Oberwolfach is the fourth in a series begun with the 1982 meeting of Mondragone and continued in Heidelberg ('84) and in Leuven ('85). The main topics discussed were: quantum stochastic calculus, mathematical models of quantum noise and their applications to quantum optics, the quantum Feynman-Kac formula, quantum probability and models of quantum statistical mechanics, the notion of conditioning in quantum probability and related problems (dilations, quantum Markov processes), quantum central limit theorems. With the exception of Kümmerer's review article on Quantum Markov Processes, all contributions are original research papers.
Book Synopsis Quantum Probability and Spectral Analysis of Graphs by : Akihito Hora
Download or read book Quantum Probability and Spectral Analysis of Graphs written by Akihito Hora and published by Springer Science & Business Media. This book was released on 2007-07-05 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book to comprehensively cover quantum probabilistic approaches to spectral analysis of graphs, an approach developed by the authors. The book functions as a concise introduction to quantum probability from an algebraic aspect. Here readers will learn several powerful methods and techniques of wide applicability, recently developed under the name of quantum probability. The exercises at the end of each chapter help to deepen understanding.
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 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 and Applications IV by : Luigi Accardi
Download or read book Quantum Probability and Applications IV written by Luigi Accardi and published by Springer. This book was released on 2006-11-14 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, the fourth of the quantum probability series, collects part of the contributions to the Year of Quantum Probability organized by the Volterra Center of University of Rome II. The intensive communication among researchers during this Year allowed several open problems to be solved and several inexpected connections to be revealed.
Book Synopsis Probability in Physics by : Yemima Ben-Menahem
Download or read book Probability in Physics written by Yemima Ben-Menahem and published by Springer Science & Business Media. This book was released on 2012-01-25 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is the role and meaning of probability in physical theory, in particular in two of the most successful theories of our age, quantum physics and statistical mechanics? Laws once conceived as universal and deterministic, such as Newton‘s laws of motion, or the second law of thermodynamics, are replaced in these theories by inherently probabilistic laws. This collection of essays by some of the world‘s foremost experts presents an in-depth analysis of the meaning of probability in contemporary physics. Among the questions addressed are: How are probabilities defined? Are they objective or subjective? What is their explanatory value? What are the differences between quantum and classical probabilities? The result is an informative and thought-provoking book for the scientifically inquisitive.
Book Synopsis Quantum Probability and Randomness by : Andrei Khrennikov
Download or read book Quantum Probability and Randomness written by Andrei Khrennikov and published by MDPI. This book was released on 2019-04-18 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: The last few years have been characterized by a tremendous development of quantum information and probability and their applications, including quantum computing, quantum cryptography, and quantum random generators. In spite of the successful development of quantum technology, its foundational basis is still not concrete and contains a few sandy and shaky slices. Quantum random generators are one of the most promising outputs of the recent quantum information revolution. Therefore, it is very important to reconsider the foundational basis of this project, starting with the notion of irreducible quantum randomness. Quantum probabilities present a powerful tool to model uncertainty. Interpretations of quantum probability and foundational meaning of its basic tools, starting with the Born rule, are among the topics which will be covered by this issue. Recently, quantum probability has started to play an important role in a few areas of research outside quantum physics—in particular, quantum probabilistic treatment of problems of theory of decision making under uncertainty. Such studies are also among the topics of this issue.
Book Synopsis Open Quantum Systems III by : Stéphane Attal
Download or read book Open Quantum Systems III written by Stéphane Attal and published by Springer Science & Business Media. This book was released on 2006-06-07 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understanding dissipative dynamics of open quantum systems remains a challenge in mathematical physics. This problem is relevant in various areas of fundamental and applied physics. From a mathematical point of view, it involves a large body of knowledge. Significant progress in the understanding of such systems has been made during the last decade. These books present in a self-contained way the mathematical theories involved in the modeling of such phenomena. They describe physically relevant models, develop their mathematical analysis and derive their physical implications. In Volume I the Hamiltonian description of quantum open systems is discussed. This includes an introduction to quantum statistical mechanics and its operator algebraic formulation, modular theory, spectral analysis and their applications to quantum dynamical systems. Volume II is dedicated to the Markovian formalism of classical and quantum open systems. A complete exposition of noise theory, Markov processes and stochastic differential equations, both in the classical and the quantum context, is provided. These mathematical tools are put into perspective with physical motivations and applications. Volume III is devoted to recent developments and applications. The topics discussed include the non-equilibrium properties of open quantum systems, the Fermi Golden Rule and weak coupling limit, quantum irreversibility and decoherence, qualitative behaviour of quantum Markov semigroups and continual quantum measurements.
Book Synopsis Quantum Probability & Related Topics by : Luigi Accardi
Download or read book Quantum Probability & Related Topics written by Luigi Accardi and published by World Scientific. This book was released on 1991 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Quantum Probability And Related Topics: Volume Viii by : Luigi Accardi
Download or read book Quantum Probability And Related Topics: Volume Viii written by Luigi Accardi and published by World Scientific. This book was released on 1993-09-30 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Quantum Probability Communications: Qp-pq (Volumes 12) by : J Martin Lindsay
Download or read book Quantum Probability Communications: Qp-pq (Volumes 12) written by J Martin Lindsay and published by World Scientific. This book was released on 2003-06-27 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 White Noise on Bialgebras by : Michael Schürmann
Download or read book White Noise on Bialgebras written by Michael Schürmann and published by Springer. This book was released on 2006-11-15 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic processes with independent increments on a group are generalized to the concept of "white noise" on a Hopf algebra or bialgebra. The main purpose of the book is the characterization of these processes as solutions of quantum stochastic differential equations in the sense of R.L. Hudsonand K.R. Parthasarathy. The notes are a contribution to quantum probability but they are also related to classical probability, quantum groups, and operator algebras. The Az ma martingales appear as examples of white noise on a Hopf algebra which is a deformation of the Heisenberg group. The book will be of interest to probabilists and quantum probabilists. Specialists in algebraic structures who are curious about the role of their concepts in probablility theory as well as quantum theory may find the book interesting. The reader should havesome knowledge of functional analysis, operator algebras, and probability theory.
Book Synopsis Selected Papers Of M Ohya by : Noboru Watanabe
Download or read book Selected Papers Of M Ohya written by Noboru Watanabe and published by World Scientific. This book was released on 2008-02-19 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of articles written by Professor M Ohya over the past three decades in the areas of quantum teleportation, quantum information theory, quantum computer, etc. By compiling Ohya's important works in these areas, the book serves as a useful reference for researchers who are working in these fields.
Book Synopsis Probability Theory and Mathematical Statistics. Vol. 1 by : B. Grigelionis
Download or read book Probability Theory and Mathematical Statistics. Vol. 1 written by B. Grigelionis and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-05-18 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "GRIGELIONIS: PROCEEDINGS OF THE FIFTH VILNIUS CONFERE E-BOOK".
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 1993 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Probability on Algebraic Structures by : Gregory Budzban
Download or read book Probability on Algebraic Structures written by Gregory Budzban and published by American Mathematical Soc.. This book was released on 2000 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents results from an AMS Special Session held on the topic in Gainesville (FL). Papers included are written by an international group of well-known specialists who offer an important cross-section of current work in the field. In addition there are two expository papers that provide an avenue for non-specialists to comprehend problems in this area. The breadth of research in this area is evident by the variety of articles presented in the volume. Results concern probability on Lie groups and general locally compact groups. Generalizations of groups appear as hypergroups, abstract semigroups, and semigroups of matrices. Work on symmetric cones is included. Lastly, there are a number of articles on the current progress in constructing stochastic processes on quantum groups.
Book Synopsis Quantum Trajectories and Measurements in Continuous Time by : Alberto Barchielli
Download or read book Quantum Trajectories and Measurements in Continuous Time written by Alberto Barchielli and published by Springer. This book was released on 2009-07-11 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum trajectory theory is largely employed in theoretical quantum optics and quantum open system theory and is closely related to the conceptual formalism of quantum mechanics (quantum measurement theory). However, even research articles show that not all the features of the theory are well known or completely exploited. We wrote this monograph mainly for researchers in theoretical quantum optics and related ?elds with the aim of giving a self-contained and solid p- sentation of a part of quantum trajectory theory (the diffusive case) together with some signi?cant applications (mainly with purposes of illustration of the theory, but which in part have been recently developed). Another aim of the monograph is to introduce to this subject post-graduate or PhD students. To help them, in the most mathematical and conceptual chapters, summaries are given to ?x ideas. Moreover, as stochastic calculus is usually not in the background of the studies in physics, we added Appendix A to introduce these concepts. The book is written also for ma- ematicians with interests in quantum theories. Quantum trajectory theory is a piece of modern theoretical physics which needs an interplay of various mathematical subjects, such as functional analysis and probability theory (stochastic calculus), and offers to mathematicians a beautiful ?eld for applications, giving suggestions for new mathematical developments.
