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Titlebook: Generalized Coherent States and Their Applications; Askold Perelomov Book 1986 Springer-Verlag Berlin Heidelberg 1986 Applications.classic

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書目名稱Generalized Coherent States and Their Applications
編輯Askold Perelomov
視頻videohttp://file.papertrans.cn/383/382179/382179.mp4
叢書名稱Theoretical and Mathematical Physics
圖書封面Titlebook: Generalized Coherent States and Their Applications;  Askold Perelomov Book 1986 Springer-Verlag Berlin Heidelberg 1986 Applications.classic
描述This monograph treats an extensively developed field in modern mathematical physics - the theory of generalized coherent states and their applications to various physical problems. Coherent states, introduced originally by Schrodinger and von Neumann, were later employed by Glauber for a quantal description of laser light beams. The concept was generalized by the author for an arbitrary Lie group. In the last decade the formalism has been widely applied to various domains of theoretical physics and mathematics. The area of applications of generalized coherent states is very wide, and a comprehensive exposition of the results in the field would be helpful. This monograph is the first attempt toward this aim. My purpose was to compile and expound systematically the vast amount of material dealing with the coherent states and available through numerous journal articles. The book is based on a number of undergraduate and postgraduate courses I delivered at the Moscow Physico-Technical Institute. In its present form it is intended for professional mathematicians and theoretical physicists; it may also be useful for university students of mathematics and physics. In Part I the formalism
出版日期Book 1986
關(guān)鍵詞Applications; classical mechanics; electromagnetic field; entropy; equilibrium; magnetic field; magnetism;
版次1
doihttps://doi.org/10.1007/978-3-642-61629-7
isbn_softcover978-3-642-64891-5
isbn_ebook978-3-642-61629-7Series ISSN 1864-5879 Series E-ISSN 1864-5887
issn_series 1864-5879
copyrightSpringer-Verlag Berlin Heidelberg 1986
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沙發(fā)
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Coherent States for the Rotation Group of Three-Dimensional Spacecalled spin CS. Properties of this system were investigated in [15, 76]. Here we follow the general pattern presented in [15]. Some applications of the spin CS will be considered in Part III of the book.
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The Lorentz Group: ,(3, 1)e two- sheeted hyperboloid in the Minkowski space. From another point of view, this CS system has been considered in [89]. It was found to be suitable for a number of problems in relativistic physics and representation theory.
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Discrete Series of Representations: The General Casely, for groups of motion for complex homogeneous symmetric bounded domains. The CS systems considered are parametrized by the domain points; they are expressed in terms of the Bergmann kernel for this domain. Recall the simplest case, the .(1, 1) group, considered in Chap. 5.
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