Spectral Theory and Quantum Mechanics
Valter Moretti
Broschiertes Buch

Spectral Theory and Quantum Mechanics

Mathematical Foundations of Quantum Theories, Symmetries and Introduction to the Algebraic Formulation

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This book discusses the mathematical foundations of quantum theories. It offers an introductory text on linear functional analysis with a focus on Hilbert spaces, highlighting the spectral theory features that are relevant in physics. After exploring physical phenomenology, it then turns its attention to the formal and logical aspects of the theory.Further, this Second Edition collects in one volume a number of useful rigorous results on the mathematical structure of quantum mechanics focusing in particular on von Neumann algebras, Superselection rules, the various notions of Quantum Symmetry ...