| Description |
1 online resource (viii, 437 pages) : illustrations |
| Series |
QP-PQ ; v. 16 |
|
QP-PQ ; v. 16.
|
| Contents |
Expository articles. Mathematical theory of quantum particles interacting with a quantum field / A. Arai -- H-P quantum stochastic differential equations / F. Fagnola -- Free relative entropy and q-deformation theory / F. Hiai -- Quantum white noise calculus / U.C. Ji & N. Obata -- Research papers. Interacting Fock spaces and orthogonal polynomials in several variables / L. Accardi & M. Nahni -- Can "quantumness" be an origin of dissipation? / T. Arimitsu -- Eventum mechanics as the crossroad of probability, infinite-dimensionality and non-commutativity / V.P. Belavkin -- What is stochastic independence? / U. Franz -- Creation-annihilation processes on cellar complecies / Y. Hashimoto -- White noise analysis -- a more general approach / T. Hida -- Characters for the infinite Weyl groups of type B[symbol] and D[symbol], and for analogous groups / T. Hirai & E. Hirai -- Noncommutative aspect of central limit theorem for the irreducible characters of the symmetric groups / A. Hora -- Brownian motion and classifying spaces / R. Léandre -- Fock space and representation of some infinite dimensional groups / T. Matsui & Y. Shimada -- Cauchy processes and the Lévy Laplacian / N. Obata & K. Saito -- Separation of non-commutative procedures -- exponential product formulas and quantum analysis / M. Suzuki -- Free product actions and their applications / Y. Ueda -- Remarks on the s-free convolution / H. Yoshida |
| Summary |
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 |
| Notes |
Conference held at the Research Institute for Mathematical Sciences, Kyoto University |
| Bibliography |
Includes bibliographical references and author index |
| Notes |
English |
|
Print version record |
| Subject |
Dimensional analysis -- Congresses
|
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Quantum theory -- Congresses
|
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Probabilities -- Congresses
|
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MATHEMATICS -- Measurement.
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TECHNOLOGY & ENGINEERING -- Measurement.
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Dimensional analysis
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Probabilities
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Quantum theory
|
| Genre/Form |
Conference papers and proceedings
|
| Form |
Electronic book
|
| Author |
Obata, Nobuaki, 1957-
|
|
Matsui, Taku
|
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Hora, Akihito
|
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Kyōto Daigaku. Sūri Kaiseki Kenkyūjo
|
| ISBN |
9789812705242 |
|
9812705244 |
|
1281908738 |
|
9781281908735 |
|
9786611908737 |
|
6611908730 |
|
