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Spectral Theory and Quantum Mechanics

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Cover of 'Spectral Theory and Quantum Mechanics'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction and mathematical backgrounds
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    Chapter 2 Normed and Banach spaces, examples and applications
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    Chapter 3 Hilbert spaces and bounded operators
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    Chapter 4 Families of compact operators on Hilbert spaces and fundamental properties
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    Chapter 5 Densely-defined unbounded operators on Hilbert spaces
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    Chapter 6 Phenomenology of quantum systems and Wave Mechanics: an overview
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    Chapter 7 The first 4 axioms of QM: propositions, quantum states and observables
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    Chapter 8 Spectral Theory I: generalities, abstract C * -algebras and operators in B (H)
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    Chapter 9 Spectral theory II: unbounded operators on Hilbert spaces
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    Chapter 10 Spectral Theory III: applications
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    Chapter 11 Mathematical formulation of non-relativistic Quantum Mechanics
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    Chapter 12 Introduction to Quantum Symmetries
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    Chapter 13 Selected advanced topics in Quantum Mechanics
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    Chapter 14 Introduction to the Algebraic Formulation of Quantum Theories
Attention for Chapter 7: The first 4 axioms of QM: propositions, quantum states and observables
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