书目名称 | The Weyl Operator and its Generalization | 编辑 | Leon Cohen | 视频video | | 概述 | Numerous examples are worked, out illustrating each result.The applications to various fields are discussed in elementary fashion.The methods are extended to operators other than the standard ones.Inc | 丛书名称 | Pseudo-Differential Operators | 图书封面 |  | 描述 | .The discovery of quantum mechanics in the years 1925-1930 necessitated the consideration of associating ordinary functions with non-commuting operators. Methods were proposed by Born/Jordan, Kirkwood, and Weyl. Sometime later, Moyal saw the connection between the Weyl rule and the Wigner distribution, which had been proposed by Wigner in 1932 as a way of doing quantum statistical mechanics. The basic idea of associating functions with operators has since been generalized and developed to a high degree. It has found several application fields, including quantum mechanics, pseudo-differential operators, time-frequency analysis, quantum optics, wave propagation, differential equations, image processing, radar, and sonar. .This book aims at bringing together the results from the above mentioned fields in a unified manner and showing the reader how the methods have been applied. A wide audience is addressed, particularly students and researchers who want to obtain an up-to-date working knowledge of the field. The mathematics is accessible to the uninitiated reader and is presented in a straightforward manner.. | 出版日期 | Book 2013 | 关键词 | partial differential equations | 版次 | 1 | doi | https://doi.org/10.1007/978-3-0348-0294-9 | isbn_softcover | 978-3-0348-0293-2 | isbn_ebook | 978-3-0348-0294-9Series ISSN 2297-0355 Series E-ISSN 2297-0363 | issn_series | 2297-0355 | copyright | Springer Basel 2013 |
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