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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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Previews available in: English
Subjects
Applications of Mathematics, Mathematical physics, Analysis, Mathematics, Global analysis (Mathematics), Mathematical and Computational Physics Theoretical, Mathematical Methods in Physics, Spectral theory (Mathematics), Quantum theory, Quantum field theory, Mathematical analysis, Engineering mathematics, Physics, Applied, Mathematical & computational, Mathematics & statistics -> mathematics -> mathematics general, Physical & earth sciences -> physics -> mathematical physics, Scm13003, Scp19005, Scp19013, Scm12007, Suco11649, 3022, 2998, 5270, 3076Showing 3 featured editions. View all 3 editions?
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1
Spectral Theory and Quantum Mechanics: Mathematical Foundations of Quantum Theories, Symmetries and Introduction to the Algebraic Formulation
Feb 14, 2018, Springer
paperback
3319707051 9783319707051
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2
Spectral Theory and Quantum Mechanics: With an Introduction to the Algebraic Formulation
Feb 07, 2013, Springer, Brand: Springer
paperback
8847028345 9788847028340
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3
Spectral Theory and Quantum Mechanics: With an Introduction to the Algebraic Formulation
2013, Springer Milan, Imprint: Springer
electronic resource :
in English
8847028353 9788847028357
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Source title: Spectral Theory and Quantum Mechanics: With an Introduction to the Algebraic Formulation (UNITEXT)
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