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QP-PQ: Quantum Probability and White Noise Analysis - Vol. 16
NON-COMMUTATIVITY, INFINITE-DIMENSIONALITY AND PROBABILITY AT THE CROSSROADS
Proceedings of the RIMS Workshop on Infinite-Dimensional Analysis and Quantum Probability
Kyoto, Japan 20 - 22 November 2001
edited by Nobuaki Obata (Tohoku University, Japan), Taku Matsui (Kyushu University, Japan) & Akihito Hora (Okayama University, Japan)
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.
Contents:
- Mathematical Theory of Quantum Particles Interacting with a
Quantum Field (A Arai)
- H-P Quantum Stochastic Differential Equations (F Fagnola)
- Quantum White Noise Calculus (U C Ji & N Obata)
- Can "Quantumness" Be an Origin of Dissipation? (T Arimitsu)
- What is Stochastic Independence? (U Franz)
- Creation–Annihilation Processes on Cellar Complecies (Y Hashimoto)
- Fock Space and Representation of Some Infinite-Dimensional Groups (T Matsui & Y Shimada)
- Free Product Actions and Their Applications (Y Ueda)
- Remarks on the s-Free Convolution (H Yoshida)
- and other papers
Readership: Researchers and graduate students in analysis &
differential equations, probability & statistics, mathematical physics and quantum physics.
| 448pp |
Pub. date: Jan 2003 |
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