Quantum probability communications : QP-PQ
著者
書誌事項
Quantum probability communications : QP-PQ
World Scientific, c1998-
- v. 10
- v. 11
- v. 12
- タイトル別名
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Quantum probability and related topics
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注記
Previous volumes published as: Quantum probability and related topics
Includes bibiographical references
Each volume of the series is based on matrial discussed in the various QP meetings
v. 11, 12 managing editors, Stéphane Attal, J. Martin Lindsay
内容説明・目次
- 巻冊次
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v. 10 ISBN 9789810235413
内容説明
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.
目次
- Classical and quantum stochastic calculus, A. Attal
- quantum Markov processes and group representations, P.H. Biane
- elements of quantum probability, B. Kummerer and H. Maassen
- quantum statistical mechanics and Feller semigroups, T. Matsui
- notes on the symmetric group action in a Toy Fock Space, K.R. Parthasarathy
- information geometry of quantum states, D. Petz
- delta-time perturbation of abstract Schrodinger operators, M.A. Astaburuaga et al
- stopping semimartingales on Fock space, S. Attal and K.B. Sinha
- product systems of one-dimensional Evans-Hudson flows, B.V.R. Bhat
- on the construction of quantum spectral stochastic integrals, I. Cuculescu
- asymptotic behaviour of reduced dynamics on Hilbert Spaces, C. Fernandez and H.E. Prado
- orthogonally additive functions on B(H), S. Goldstein and A. Paszkiewicz
- long-time behaviour of continuously observed and controlled quantum systems, V.N. Kolokol'tsov
- multiple integrals and the isomorphism between a general white noise space and a symmetric Fock space, V. Liebscher
- independence, conditional expectation and martingales in permutational Fock space, N. Muraki
- exponentials of indicator functions are total in the Boson Fock space G(L2([0,1)]), K.R. Parthasarathy and V.S. Sunder
- dissipation in quantum mechanics - a solvable model, S. Pascazio
- an extension of the quantum ito table and its matrix representation, N. Privault. (Part contents)
- 巻冊次
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v. 12 ISBN 9789812389749
内容説明
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.
目次
* Integral-Sum Kernel Operators (J M Lindsay) * Quantum Probability Applied to the Damped Harmonic Oscillator (H Maassen) * Quantum Probability and Strong Quantum Markov Processes (K R Parthasarathy) * Limit Problems for Quantum Dynamical Semigroups -- Inspired by Scattering Theory (R Rebolledo) * A Survey of Operator Algebras (J-L Sauvageot) * Quantum Stop Times (K B Sinha) * Free Calculus (R Speicher) * Continuous Kernel Processes in Quantum Probability (W von Waldenfels)
- 巻冊次
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v. 11 ISBN 9789812389763
内容説明
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.
目次
Extensions of Quantum Stochastic Calculus (S Attal) Quantum Ito Algebras: Axioms, Representations, Decompositions (V Belavkin) Free Probability for Probabilists (P Biane) Conditional Expectations on von Neumann Algebras (C Cecchini) Classical Probability Theory: An Outline of Stochastic Integrals and Diffusions (M Emery) Quantum Stochastic Differential Equations (F Fagnola) Canonical Commutation and Anticommutation Relations (M Fannes) Quantum and Classical Stochastic Calculus (A Holevo) An Introduction to Quantum Stochastic Calculus and Some of Its Applications (R Hudson) Stationary Processes in Quantum Probability (B Kummerer)
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