| 书目名称 | Fundamental Mathematical Structures of Quantum Theory | | 副标题 | Spectral Theory, Fou | | 编辑 | Valter Moretti | | 视频video | | | 概述 | With many examples and solved exercises.Highlights the interconnection between logic, lattice theory, general probability theory, and general spectral theory.Nicely presents together standard material | | 图书封面 |  | | 描述 | .This textbook presents in a concise and self-contained way the advanced fundamental mathematical structures in quantum theory. It is based on lectures prepared for a 6 months course for MSc students. The reader is introduced to the beautiful interconnection between logic, lattice theory, general probability theory, and general spectral theory including the basic theory of von Neumann algebras and of the algebraic formulation, naturally arising in the study of the mathematical machinery of quantum theories. Some general results concerning hidden-variable interpretations of QM such as Gleason‘s and the Kochen-Specker theorems and the related notions of realism and non-contextuality are carefully discussed. This is done also in relation with the famous Bell (BCHSH) inequality concerning local causality..Written in a didactic style, this book includes many examples and solved exercises..The work is organized as follows. Chapter 1 reviews some elementary factsand properties of quantum systems. Chapter 2 and 3 present the main results of spectral analysis in complex Hilbert spaces. Chapter 4 introduces the point of view of the orthomodular lattices‘ theory. Quantum theory form this pe | | 出版日期 | Textbook 2019 | | 关键词 | Lattice theory; spectral theory; von Neumann algebras; quantum formalism; quantization procedures; Heisen | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-18346-2 | | isbn_softcover | 978-3-030-18348-6 | | isbn_ebook | 978-3-030-18346-2 | | copyright | Springer Nature Switzerland AG 2019 |
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发表于 2025-3-21 18:14:10
