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Spectral theory and quantum mechanics : with an introduction to the algebraic formulation

Author: Valter Moretti
Publisher: Milan : Springer Verlag, [2013]
Series: Unitext, 64.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
This book pursues the accurate study of the mathematical foundations of Quantum Theories. It may be considered an introductory text on linear functional analysis with a focus on Hilbert spaces. Specific attention is given to spectral theory features that are relevant in physics. Having left the physical phenomenology in the background, it is the formal and logical aspects of the theory that are privileged. Another  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Moretti, Valter, author.
Spectral theory and quantum mechanics.
Milan : Springer Verlag, [2013]
(DLC) 2012945983
(OCoLC)806021107
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Valter Moretti
ISBN: 9788847028357 8847028353
OCLC Number: 837855997
Notes: "Translated and extended version of the original Italian edition: Teoria spettrale e meccanica quantistica, ©Springer-Verlag Italia 2010"--Title page verso.
Description: 1 online resource (xvi, 728 pages) : illustrations.
Contents: Introduction and mathematical backgrounds --
Normed and Banach spaces, examples and applications --
Hilbert spaces and bounded operators --
Families of compact operators on Hilbert spaces and fundamental properties --
Densely-defined unbounded operators on Hilbert spaces --
Phenomenology of quantum systems and Wave Mechanics: an overview --
The first 4 axioms of QM: propositions, quantum states and observables --
Spectral Theory I: generalities, abstract C *-algebras and operators in B(H) --
Spectral theory II: unbounded operators on Hilbert spaces --
Spectral Theory III: applications --
Mathematical formulation of non-relativistic Quantum Mechanics --
Introduction to Quantum Symmetries --
Selected advanced topics in Quantum Mechanics --
Introduction to the Algebraic Formulation of Quantum Theories.
Series Title: Unitext, 64.
Other Titles: Teoria spettrale e meccanica quantistica.
Quantum mechanics
Responsibility: Valter Moretti ; [translated by Simon G. Chiossi].

Abstract:

This mathematically rigorousm self-contained book explains the foundations of Quantum Mechanics and Quantum Theories in general. Includes a primer on general topology and abstract measure theory,  Read more...

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From the reviews: "The present text is an extended translation of its original Italian version published 2010 and gives a comprehensive introduction to the mathematical tools used in quantum Read more...

 
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