书目名称 | Spectral Theory and Quantum Mechanics |
副标题 | Mathematical Foundat |
编辑 | Valter Moretti |
视频video | |
概述 | Most chapters are accompanied by exercises, many of which are solved explicitly.Presents several examples of the physical formalism.Can be used as an advanced introductory text on spectral theory and |
丛书名称 | UNITEXT |
图书封面 |  |
描述 | .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 and Symmetry Groups, and including a number of fundamental results on the algebraic formulation of quantum theories.. . Intended for Master‘s and 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 also benefits established researchers by organizing and presenting 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 2017Latest edition |
关键词 | Functional Analysis on Hilbert Spaces; Mathematical Physics; Quantum Mechanics; Spectral Theory; Algebra |
版次 | 2 |
doi | https://doi.org/10.1007/978-3-319-70706-8 |
isbn_softcover | 978-3-319-70705-1 |
isbn_ebook | 978-3-319-70706-8Series ISSN 2038-5714 Series E-ISSN 2532-3318 |
issn_series | 2038-5714 |
copyright | Springer International Publishing AG 2017 |