期刊全称 | An Introduction to Semiclassical and Microlocal Analysis | 影响因子2023 | André 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 |  | 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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