Quantum Probability and Applications II Proceedings of a Workshop he
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Quantum Probability and Applications II Proceedings of a Workshop held in Heidelberg, West Germany, October 1-5, 1984
Edited by L. Accardi and W. von Waldenfels
Springer-Verlag Berlin Heidelberg New York Tokyo
Editor's
Luigi Accardi Oipartimento di Matematica, Universita di Roma II Via Orazio Raimondo, 00173 Roma, Italy Wilhelm von Waldenfels Institut fUr Angewandte Mathematik, Universitat Heidelberg 1m Neuenheimer Feld 294 6900 Heidelberg, Federal Republic of Germany
Mathematics Subject Classification (1980): 46L50, 46L55, 46L60, 47005, 47007, 47045, 60Gxx, 60Hxx, 60Jxx, 81Bxx, 81C20, 82A05, 82A15 ISBN 3-540-15661-5 Springer-Verlag Berlin Heidelberg New York Tokyo ISBN 0-387-15661-5 Springer-Verlag New York Heidelberg Berlin Tokyo
This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically those of translating, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks. Under § 54 of the German Copyright Law where copies are made for other than private use, a fee is payable to 'Verwertungsgesellschaft Wort", Munich.
© by Springer-Verlag Berlin Heidelberg 1985 Printed in Germany Printing and binding: Beltz Offsetdruck, Hemsbach/Bergstr. 2146/3140-543210
INTRODUCTION The Second Workshop on Quantum Probability and Applications was held in Heidelberg, October 1-5, 1984. It was organized by the Sonderforschungsbereich 123 CStochastische Mathematische Modelle) of the University of Heidelberg with a contribution from the University of Rome II. Since the first Workshop on Quantum Probability, which was held in Villa Mondragone in 1982, many important achievements have been obtained in this branch of probability theory, concerning not only the inner mathematical development of the discipline, but also its applications to problems of quantum physics such as the quantum theory of irreversible processes, quantum optics, quantum field theory and the quantum theory of measurement. The Haidelberg meeting was an attempt to provide an overview of these results, as well as of open problems with particular emphasis on those arising from quantum physics. It is a pleasure to thank the Deutsche Forschungsgemeinschaft and the University of Rome II for financial support; the lecturers and the participants for their contributions to the success of the conference. We would like to address a particular thank to Leo van Hemmen for his generous help in the organization of the workshop. Luigi Accardi Wilhelm von Waldenfels
TABLE
OF
CONTENTS
L. Accardi, S. Olla On the polaron asymptotics at finite coupling constant L. Accardi, K.R. Parthasarathy Stochastic calculus on local algebras
9
S. Albeverio, Ph. Blanchard, Ph. Combe, R. Rodriguez, M. Sirugue, M. Sirugue-Collin Trapping in stochastic mechanics and applications to covers of clouds and radiation belts
24
S. Albeverio, R. H¢egh-Krohn A remark on dynamical semigroups in terms of diffusion processes
40
D. Applebaum Quasi-free s
