Authors:
With many examples and solved exercises
Highlights the interconnection between logic, lattice theory, general probability theory, and general spectral theory
Nicely presents together standard material usually only found scattered in the literature
Accessible to physicists as well as mathematicians
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Table of contents (8 chapters)

Front Matter

Back Matter
About this book
Keywords
 Lattice theory
 spectral theory
 von Neumann algebras
 quantum formalism
 quantization procedures
 Heisenberg inequalities
 quantum symmetries
 algebraic formulation
 Schur's lemma
 superselection rules
 fundamental quantum structures
 quantum mechanics textbook
 Complex Hilbert spaces
 hidden variables
 Bell inequality
 Local causality
 Gleason's theorem
 Entanglement
 noncontextuality
 Quantum symmetry
Reviews
“The book can be read on the basis of an elementary knowledge of Hilbert spaces and measure theory. For mathematicians, it can be used as an introduction to Quantum Mechanics and a detailed guide to the associated mathematical problems; for the reader familiar with Quantum Mechanics, it provides an extensive insight into the mathematical discussion of its structural and foundational issues.” (Giovanni Morchio, Mathematical Reviews, June, 2020)
Authors and Affiliations

University of Trento and Trento Institute for Fundamental Physics and Applications, Trento, Italy
Valter Moretti
About the author
Bibliographic Information
Book Title: Fundamental Mathematical Structures of Quantum Theory
Book Subtitle: Spectral Theory, Foundational Issues, Symmetries, Algebraic Formulation
Authors: Valter Moretti
DOI: https://doi.org/10.1007/9783030183462
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Hardcover ISBN: 9783030183455
Softcover ISBN: 9783030183486
eBook ISBN: 9783030183462
Edition Number: 1
Number of Pages: XIII, 337
Number of Illustrations: 1 b/w illustrations
Topics: Quantum Physics, Mathematical Methods in Physics, Mathematical Physics