| 期刊全稱 | A Guide to Spectral Theory | | 期刊簡(jiǎn)稱 | Applications and Exe | | 影響因子2023 | Christophe Cheverry,Nicolas Raymond | | 視頻video | http://file.papertrans.cn/141/140994/140994.mp4 | | 發(fā)行地址 | Illustrates a variety of applications of spectral theory with a focus on quantum physics.Provides potential research directions for students and numerous references to more advanced treatments of many | | 學(xué)科分類 | Birkh?user Advanced Texts‘ Basler Lehrbücher | | 圖書(shū)封面 |  | | 影響因子 | This textbook provides a graduate-level introduction to the spectral theory of linear operators on Banach and Hilbert spaces, guiding readers through key components of spectral theory and its applications in quantum physics.? Based on their extensive teaching experience, the authors present topics in a progressive manner so that each chapter builds on the ones preceding. Researchers and students alike will also appreciate the exploration of more advanced applications and research perspectives presented near the end of the book..Beginning with a brief introduction to the relationship between spectral theory and quantum physics, the authors go on to explore unbounded operators, analyzing closed, adjoint, and self-adjoint operators. Next, the spectrum of a closed operator is defined and the fundamental properties of Fredholm operators are introduced. The authors then develop the Grushin method to execute the spectral analysis of compact operators. The chapters that follow are devoted to examining Hille-Yoshida and Stone theorems, the spectral analysis of self-adjoint operators, and trace-class and Hilbert-Schmidt operators. The final chapter opens the discussion to several selected ap | | Pindex | Textbook 2021 |
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