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

Valter Moretti

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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.


Språk Engelsk Engelsk Innbinding Heftet
Utgitt 2012 Forfatter Valter Moretti
ISBN 9788847028340
Antall sider 744 Dimensjoner 15,5cm x 23,5cm x 4,1cm
Vekt 1043 gram Leverandør Bertram Trading Ltd
Emner og form Applied mathematics, Calculus & mathematical analysis, Mathematical physics

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