Authors:
Serves as an informational guide to researchers in operational quantum physics and also as a text for graduate and high level undergraduate students
Differs from many textbooks in quantum mechanics and quantum field theory as it features a radical group operational foundation
Author is well known within the Max-Planck Institute as well as the theoretical physics community
Part of the book series: Operational Physics (OPPH)
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Table of contents (10 chapters)
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Front Matter
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Back Matter
About this book
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 reversed with the operational interactions as basic quantum structures. Quantum theory, specifically nonrelativistic quantum mechanics, is developed from the theory of Lie group and Lie algebra operations acting on both finite and infinite dimensional vector spaces. In this book, time and space related finite dimensional representation structures and simple Lie operations, and as a non-relativistic application, the Kepler problem which has long fascinated quantum theorists, are dealt with in some detail. Operational Quantum Theory I features many structures which allow the reader to better understand the applications of operational quantum theory, and to provide conceptually appropriate descriptions of the subject.
Operational Quantum Theory I aims to understand more deeply on an operational basis what one is working with in nonrelativistic quantum theory, but also suggests new approaches to the characteristic problems of quantum mechanics.
Keywords
- Lie algebra
- Vector space
- algebra
- lie group
- mechanics
- quantum mechanics
- quantum theory
- relativistic quantum mechanics
- representation theory
Authors and Affiliations
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Max-Planck Institut für Physik, Werner-Heisenberg Institut, München, Germany
Heinrich Saller
Bibliographic Information
Book Title: Operational Quantum Theory I
Book Subtitle: Nonrelativistic Structures
Authors: Heinrich Saller
Series Title: Operational Physics
DOI: https://doi.org/10.1007/0-387-34643-0
Publisher: Springer New York, NY
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer-Verlag New York 2006
Hardcover ISBN: 978-0-387-29199-4Published: 19 April 2006
Softcover ISBN: 978-1-4939-3859-9Published: 23 August 2016
eBook ISBN: 978-0-387-34643-4Published: 10 June 2007
Edition Number: 1
Number of Pages: XIII, 408
Topics: Quantum Physics, Theoretical, Mathematical and Computational Physics, Mathematical Methods in Physics, Topological Groups, Lie Groups