Spectral Theory and Quantum Mechanics
Spectral Theory and Quantum Mechanics
复制标题
谱论与量子力学
DOI：
10.1007/978-3-319-70706-8
复制
发表时间：
2013
期刊：
影响因子：
--
通讯作者：
Valter Moretti
中科院分区：
文献类型：
--
作者：
Valter Moretti
在这第二个英文版（第三，如果一个包括第一个意大利），大量的错别字和各种错误已被修改。我增加了100多页的新材料，数学和物理，特别是关于超选择规则的概念-从几个不同的角度处理-冯诺依曼代数和抽象代数公式的机器。在第二章中，我已经相当大地扩展了量子力学的格点方法。7，其中现在包含精确的语句导致Solèr的定理的表征量子晶格，以及广义版本的格里森定理。事实上，Chap。7、相关的文章11人已全部重组。我已经纳入了各种结果的理论冯诺依曼代数和更广泛的讨论数学制定的超选择规则，也关系到冯诺依曼代数的可观。相应的准备材料已被安装到第一章。3.第12章被进一步发展，以便包括有关量子对称群及其强连续幺正表示的技术事实。我已经详细研究了纳尔逊域和Gårding域之间的关系。每一章都有许多新的练习、注释、例子和参考资料。我要再次感谢我的同事西蒙·奇奥西（Simon Chiossi）修改和改进了我的写作。感谢Gabriele Anzellotti、Alejandro Ascáate、Nicolò Cantiotti和Simon G指出了拼写错误和其他错误并进行了有益的讨论。放大图片作者：Chiossi，Claudio Dappiaggi，Nicoleiro Drago，Alan Garbarz，Riccardo Ghiloni，Igor Khavkine，Bruno Hideki F. Kimura，Sonia Mazzucchi，Simone Murro，Giuseppe Nardelli，Marco Oppio，Alessandro Perotti和Nicola Pinamonti。
In this second English edition (third, if one includes the first Italian one), a large number of typos and errors of various kinds have been amended. I have added more than 100 pages of fresh material, both mathematical and physical, in particular regarding the notion of superselection rules—addressed from several different angles—the machinery of von Neumann algebras and the abstract algebraic formulation. I have considerably expanded the lattice approach to Quantum Mechanics in Chap. 7, which now contains precise statements leading up to Solèr’s theorem on the characterization of quantum lattices, as well as generalised versions of Gleason’s theorem. As a matter of fact, Chap. 7 and the related Chap. 11 have been completely reorganised. I have incorporated a variety of results on the theory of von Neumann algebras and a broader discussion on the mathematical formulation of superselection rules, also in relation to the von Neumann algebra of observables. The corresponding preparatory material has been fitted into Chap. 3. Chapter 12 has been developed further, in order to include technical facts concerning groups of quantum symmetries and their strongly continuous unitary representations. I have examined in detail the relationship between Nelson domains and Gårding domains. Each chapter has been enriched by many new exercises, remarks, examples and references. I would like once again to thank my colleague Simon Chiossi for revising and improving my writing. For having pointed out typos and other errors and for useful discussions, I am grateful to Gabriele Anzellotti, Alejandro Ascárate, Nicolò Cangiotti, Simon G. Chiossi, Claudio Dappiaggi, Nicolò Drago, Alan Garbarz, Riccardo Ghiloni, Igor Khavkine, Bruno Hideki F. Kimura, Sonia Mazzucchi, Simone Murro, Giuseppe Nardelli, Marco Oppio, Alessandro Perotti and Nicola Pinamonti.