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Titlebook: Mathematical Concepts of Quantum Mechanics; Stephen J. Gustafson,Israel Michael Sigal Textbook 2020Latest edition Springer-Verlag GmbH Ger

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書目名稱Mathematical Concepts of Quantum Mechanics
編輯Stephen J. Gustafson,Israel Michael Sigal
視頻videohttp://file.papertrans.cn/627/626050/626050.mp4
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
叢書名稱Universitext
圖書封面Titlebook: Mathematical Concepts of Quantum Mechanics;  Stephen J. Gustafson,Israel Michael Sigal Textbook 2020Latest edition Springer-Verlag GmbH Ger
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
關(guān)鍵詞Schr?dinger equation; quantization; quantum mechanics; spectral theory; functional analysis
版次3
doihttps://doi.org/10.1007/978-3-030-59562-3
isbn_softcover978-3-030-59561-6
isbn_ebook978-3-030-59562-3Series ISSN 0172-5939 Series E-ISSN 2191-6675
issn_series 0172-5939
copyrightSpringer-Verlag GmbH Germany, part of Springer Nature 2020
The information of publication is updating

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Perturbation Theory: Feshbach-Schur Method,rator. Though this task, known as ., is much simpler than the task of analyzing the dynamics directly, it is far from trivial. The problem can be greatly simplified if the Schr?dinger operator H under consideration is very close an operator H. whose spectrum we already know.
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Resonances,d) state for a long time interval, but which eventually breaks up. In other words, the resonances are states of the essential spectrum (i.e. scattering states), which for a long time behave as if they were bound states. In fact, the notion of a bound state is an idealization: most of the states whic
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Female monkeys when paired daily in the laboratory with the male do not show true periodic oestrous behaviour but are prepared to receive the male throughout their menstrual cycle (Michael and Welegalla 1968), and for long periods even following ovariectomy (Michael and Zumpe 1970). Indeed, female
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