书目名称 | Mathematical Concepts of Quantum Mechanics | 编辑 | Stephen J. Gustafson,Israel Michael Sigal | 视频video | | 概述 | Includes supplementary material: | 丛书名称 | Universitext | 图书封面 |  | 描述 | The first fifteen chapters of these lectures (omitting four to six chapters each year) cover a one term course taken by a mixed group of senior undergraduate and junior graduate students specializing either in mathematics or physics. Typically, the mathematics students have some background in advanced anal ysis, while the physics students have had introductory quantum mechanics. To satisfy such a disparate audience, we decided to select material which is interesting from the viewpoint of modern theoretical physics, and which illustrates an interplay of ideas from various fields of mathematics such as operator theory, probability, differential equations, and differential geometry. Given our time constraint, we have often pursued mathematical content at the expense of rigor. However, wherever we have sacrificed the latter, we have tried to explain whether the result is an established fact, or, mathematically speaking, a conjecture, and in the former case, how a given argument can be made rigorous. The present book retains these features. | 出版日期 | Textbook 20031st edition | 关键词 | Hilbert space; Operator theory; Potential; Renormalization group; Schrödinger equation; quantization; quan | 版次 | 1 | doi | https://doi.org/10.1007/978-3-642-55729-3 | isbn_ebook | 978-3-642-55729-3Series ISSN 0172-5939 Series E-ISSN 2191-6675 | issn_series | 0172-5939 | copyright | Springer-Verlag Berlin Heidelberg 2003 |
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