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Titlebook: An Introduction to Semiclassical and Microlocal Analysis; André Martinez Textbook 2002 Springer Science+Business Media New York 2002 Bound

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发表于 2025-3-21 17:08:52 | 显示全部楼层 |阅读模式
期刊全称An Introduction to Semiclassical and Microlocal Analysis
影响因子2023André Martinez
视频video
发行地址Addressed to non-specialists.detailed exercises at the end of the main chapters.proofs presented have been made as simple as possible.introduces tools useful in the study of phase space tunneling.Incl
学科分类Universitext
图书封面Titlebook: An Introduction to Semiclassical and Microlocal Analysis;  André Martinez Textbook 2002 Springer Science+Business Media New York 2002 Bound
影响因子The following lecture notes correspond to a course taught for several years, first at the University of Paris-Nord (France) and then at the University of Bologna (Italy). They are mainly addressed to nonspecialists in the subject, and their purpose is to present in a pedagogical way most of the techniques used in the microlocal treatment of semiclassical problems coming from quantum physics. Both the standard Coo pseudodifferential calculus and the analytic microlocal analysis are developed, in a context that remains intentionally global so that only the relevant difficulties of the theory are encountered. The main original­ ity lies in the fact that we derive all the main features of analytic microlocal analysis from a single a priori estimate, which turns out to be elementary once the Coo pseudodifferential calculus is established. Various detailed exercises are given at the end of the main chapters, most of them being easily solvable by students. Besides illustrating the main results of the lecture, their aim is also to introduce the reader to various further developments of the theory, such as the functional calculus of pseudodifferential operators, properties of the analytic w
Pindex Textbook 2002
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发表于 2025-3-21 22:20:27 | 显示全部楼层
发表于 2025-3-22 03:50:29 | 显示全部楼层
Introduction,int of view), and in the classical book [LaLi], by L.D. Landau and E.M. Lifshitz. (Indeed, a large literature—in any language—exists on the foundations of quantum mechanics, and many more references can be found than we can give here.)
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发表于 2025-3-22 13:07:53 | 显示全部楼层
Semiclassical Pseudodifferential Calculus,.). Then its associated quantum observable .(..) applied to . will have the effect of (essentially) cutting off the Cartesian product Supp . × Supp . outside Supp . (here Supp stands for the support).
发表于 2025-3-22 17:46:04 | 显示全部楼层
Appendix: List of Formulae,1 in the semiclassical formulae. The meaning of the asymptotics depends on the calculus one considers (e.g., modulo .(〈.〉).) as |.| → ∞ for symbols decaying more and more as they are more and more differentiated with respect to .).
发表于 2025-3-23 00:31:34 | 显示全部楼层
https://doi.org/10.1007/978-3-663-13500-5int of view), and in the classical book [LaLi], by L.D. Landau and E.M. Lifshitz. (Indeed, a large literature—in any language—exists on the foundations of quantum mechanics, and many more references can be found than we can give here.)
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