Operational Quantum Theory I Nonrelativistic Structures
Operational Quantum Theory I is a distinguished work on quantum theory at an advanced algebraic level. The classically oriented hierarchy with objects such as particles as the primary focus, and interactions of these objects as the secondary focus is reve
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Operational Quantum Theory I Non-relativistic Structures
Heinrich Saller
OPERATIONAL PHYSICS
OPERATIONAL PHYSICS Modern physics increasingly replaces the object-based world-view of the old physics with an operation-based world-view. This process is supported by a similar one that is taking place in mathematics at the same time. The International Journal of Theoretical Physics dedicates the series “Operational Physics” to this process. Its goal is to provide scientists and researchers with textbooks, monographs, and reference works to address the growing need for information. Prospective authors are encouraged to correspond with the Editor-in-Chief in advance of submitting a manuscript. Submission of manuscripts should be made to the Editor-in-Chief. Editor-in-Chief David Finkelstein Georgia Institute of Technology School of Physics 837 State Street Atlanta, GA 30332-0430
Volumes Published in This Series: Operational Quantum Theory I—Nonrelativistic Structures by Saller, H. 2006 Operational Quantum Theory II—Relativistic Structures by Saller, H. 2006
Heinrich Saller
Operational Quantum Theory I Nonrelativistic Structures
Heinrich Saller Werner-Heisenberg Institut Max-Planck Institut f¨ur Physik M¨unchen, Germany 80805 [email protected]
Library of Congress Control Number: 2006920923 ISBN-10: 0-387-29199-7 ISBN-13: 978-0387-29199-4 Printed on acid-free paper. C 2006 Springer Science+Business Media, Inc. All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Science+Business Media, Inc., 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use in this publication of trade names, trademarks, service marks, and similar terms, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights.
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(TB/MVY)
I would like to thank three people from three generations without whom this book could not have been written. First, the late Werner Heisenberg, who implanted in me the conviction that symmetries with their operations are appropriate basic concepts for understanding physical interactions and objects. Second, David Finkelstein, who gave me the feeling, in our fruitful collaboration and work over the decades, of not being alone in giving priority to the operational approach. Finally, I learned a lot from my first son, Christian, who is a much better mathematician than I. He taught me that many of the mathematical concepts denigrated as esoteric and academic by those physicists who have a direct pipeline to God are basic and exactly the right tools for the physical structures to be formalized. He also helped me
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