书目名称 | Mathematical Concepts of Quantum Mechanics | 编辑 | Stephen J. Gustafson,Israel Michael Sigal | 视频video | | 概述 | A very readable introduction to modern mathematical topics in quantum mechanics.Solves the problem of how to teach quantum mechanics to mathematically oriented students in an optimal way.Shows how the | 丛书名称 | Universitext | 图书封面 |  | 描述 | .The book gives a streamlined introduction to quantum mechanics while describing the basic mathematical structures underpinning this discipline..Starting with an overview of key physical experiments illustrating the origin of the physical foundations, the book proceeds with a description of the basic notions of quantum mechanics and their mathematical content..It then makes its way to topics of current interest, specifically those in which mathematics plays an important role. The more advanced topics presented include: many-body systems, modern perturbation theory, path integrals, the theory of resonances, adiabatic theory, geometrical phases, Aharonov-Bohm effect, density functional theory, open systems, the theory of radiation (non-relativistic quantum electrodynamics), and the renormalization group.. .With different selections of chapters, the book can serve as a text for an introductory, intermediate, or advanced course in quantum mechanics. Some of the sections could be used for introductions to geometrical methods in Quantum Mechanics, to quantum information theory and to quantum electrodynamics and quantum field theory.. | 出版日期 | Textbook 2020Latest edition | 关键词 | Schrödinger equation; quantization; quantum mechanics; spectral theory; functional analysis | 版次 | 3 | doi | https://doi.org/10.1007/978-3-030-59562-3 | isbn_softcover | 978-3-030-59561-6 | isbn_ebook | 978-3-030-59562-3Series ISSN 0172-5939 Series E-ISSN 2191-6675 | issn_series | 0172-5939 | copyright | Springer-Verlag GmbH Germany, part of Springer Nature 2020 |
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