Spectral Theory and Quantum Mechanics: With an Introduction to the Algebraic Formulation

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    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 not lesser purpose is to collect in one place a number of useful rigorous statements on the mathematical structure of Quantum Mechanics, including some elementary, yet fundamental, results on the Algebraic Formulation of Quantum Theories. In the attempt to reach out to Master's or PhD students, both in physics and mathematics, the material is designed to be self-contained: it includes a summary of point-set topology and abstract measure theory, together with an appendix on differential geometry. The book should benefit established researchers to organise and present the profusion of advanced material disseminated in the literature. Most chapters are accompanied by exercises, many of which are solved explicitly.

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    Number of Pages: 728
    Format(s): Paperback - ISBN: 9788847028340
    Publication Date:
    Listed in: Calculus & mathematical analysis, Applied mathematics, Mathematical physics
    Publisher: Springer Verlag

    Books by Valter Moretti

    Paperback

    RRP: £44.99

    Sale Price: £29.45

    Save: £15.54 per copy!

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