Interpretative Aspects of Quantum Mechanics: Matteo Campanella's Mathematical Studies - Couverture rigide

Campanella, Matteo; Jou, David; Mongiovì, Maria Stella

Couverture rigide

ISBN 10 : 3030442063 ISBN 13 : 9783030442064

Editeur : Springer Nature Switzerland AG, 2020

Synopsis

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.

A propos du livre

À propos de l'auteur

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.

Détails de l'édition

• Éditeur: Springer Nature Switzerland AG
• Date d'édition: 2020
• Langue: anglais
• ISBN 10: 3030442063
• ISBN 13: 9783030442064
• Reliure: Relié
• Nombre de pages: 158
• Coordonnées du fabricant: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Allemagne