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Titlebook: Spectral Theory and Quantum Mechanics; With an Introduction Valter Moretti Textbook 20131st edition Springer-Verlag Italia 2013 Functional

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书目名称Spectral Theory and Quantum Mechanics
副标题With an Introduction
编辑Valter Moretti
视频video
概述Most chapters are accompanied by exercises, many of which solved explicitly.At any rate several examples of the physical formalism are presented.Many of these aspects have been known for a long time b
丛书名称UNITEXT
图书封面Titlebook: Spectral Theory and Quantum Mechanics; With an Introduction Valter Moretti Textbook 20131st edition Springer-Verlag Italia 2013 Functional
描述.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..
出版日期Textbook 20131st edition
关键词Functional Analysis on Hilbert Spaces; Mathematical Physics; Quantum Mechanics; Spectral Theory
版次1
doihttps://doi.org/10.1007/978-88-470-2835-7
isbn_ebook978-88-470-2835-7Series ISSN 2038-5714 Series E-ISSN 2532-3318
issn_series 2038-5714
copyrightSpringer-Verlag Italia 2013
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Spectral theory II: unbounded operators on Hilbert spaces,With this chapter we shall examine a number of mathematical issues concerning the spectral theory of self-adjoint operators, in general unbounded.
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Mathematical formulation of non-relativistic Quantum Mechanics,In this chapter we will enucleate the axioms of QM for the elementary system made by a non-relativistic particle, without spin, and discuss a series of important results related to the ..
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Introduction to Quantum Symmetries,This chapter continues in the description of the mathematical structure of Quantum Mechanics, by introducing fundamental notions and tools of great relevance.
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Selected advanced topics in Quantum Mechanics,With this chapter we complete the list of axioms for non-relativistic Quantum Mechanics, introducing . and . Certain notions, here defined formally, have already been introduced in the final part of the previous chapter when talking about symmetry groups. More advanced reference texts, which we have followed here and there, are [.] and [.].
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Springer-Verlag Italia 2013
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Spectral Theory and Quantum Mechanics978-88-470-2835-7Series ISSN 2038-5714 Series E-ISSN 2532-3318
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