Overview
- The book is of interest to physicists and mathematicians alike
- Presents a new assessment of an important problem in fundamental physics
- Includes four appendices explaining the mathematical tools used
Part of the book series: UNIPA Springer Series (USS)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (4 chapters)
Keywords
About this book
This book presents a selection of Prof. Matteo Campanella’s writings on the interpretative aspects of quantum mechanics and on a possible derivation of Born's rule – one of the key principles of the probabilistic interpretation of quantum mechanics – that is independent of any priori probabilistic interpretation. This topic is of fundamental interest, and as such is currently an active area of research. Starting from a natural method of defining such a state, Campanella found that it can be characterized through a partial density operator, which occurs as a consequence of the formalism and of a number of reasonable assumptions connected with the notion of a state. The book demonstrates that the density operator arises as an orbit invariant that has to be interpreted as probabilistic, and that its quantitative implementation is equivalent to Born's rule. The appendices present various mathematical details, which would have interrupted the continuity of the discussion if they had been included in the main text. For instance, they discuss baricentric coordinates, mapping between Hilbert spaces, tensor products between linear spaces, orbits of vectors of a linear space under the action of its structure group, and the class of Hilbert space as a category.
Authors and Affiliations
About the authors
David Jou is a Professor of Physics of Condensed Matter at the Universitat Autonoma de Barcelona. His research focuses on non-equilibrium thermodynamics and statistical mechanics in classical and quantum systems.
Maria Stella Mongiovì was a Professor of Mathematical-Physics at the Università degli Studi di Palermo. Her research focuses on superfluids hydrodynamics and quantum and classical turbulence.
Bibliographic Information
Book Title: Interpretative Aspects of Quantum Mechanics
Book Subtitle: Matteo Campanella's Mathematical Studies
Authors: Matteo Campanella, David Jou, Maria Stella Mongiovì
Series Title: UNIPA Springer Series
DOI: https://doi.org/10.1007/978-3-030-44207-1
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020
Hardcover ISBN: 978-3-030-44206-4Published: 28 August 2020
Softcover ISBN: 978-3-030-44209-5Published: 28 August 2021
eBook ISBN: 978-3-030-44207-1Published: 27 August 2020
Series ISSN: 2366-7516
Series E-ISSN: 2366-7524
Edition Number: 1
Number of Pages: XV, 143
Number of Illustrations: 2 b/w illustrations
Topics: Mathematical Applications in the Physical Sciences, Quantum Physics