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Titlebook: Dirac Kets, Gamow Vectors and Gel’fand Triplets; The Rigged Hilbert S A. Bohm,J. D. Dollard,M. Gadella Book 1989 Springer-Verlag Berlin Hei

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書(shū)目名稱(chēng)Dirac Kets, Gamow Vectors and Gel’fand Triplets
副標(biāo)題The Rigged Hilbert S
編輯A. Bohm,J. D. Dollard,M. Gadella
視頻videohttp://file.papertrans.cn/281/280586/280586.mp4
叢書(shū)名稱(chēng)Lecture Notes in Physics
圖書(shū)封面Titlebook: Dirac Kets, Gamow Vectors and Gel’fand Triplets; The Rigged Hilbert S A. Bohm,J. D. Dollard,M. Gadella Book 1989 Springer-Verlag Berlin Hei
描述Dirac‘s formalism of quantum mechanics was always praised for its elegance. This book introduces the student to its mathematical foundations and demonstrates its ease of applicability to problems in quantum physics. The book starts by describing in detail the concept of Gel‘fand triplets and how one can make use of them to make the Dirac heuristic approach rigorous. The results are then deepened by giving the analytic tools, such as the Hardy class function and Hilbert and Mellin transforms, needed in applications to physical problems. Next, the RHS model for decaying states based on the concept of Gamow vectors is presented. Applications are given to physical theories of such phenomena as decaying states and resonances.
出版日期Book 1989
關(guān)鍵詞Hardy space; Hilbert space; mathematical physics; mechanics; quantum mechanics; quantum physics; transform
版次1
doihttps://doi.org/10.1007/3-540-51916-5
isbn_softcover978-3-662-13751-2
isbn_ebook978-3-540-46859-2Series ISSN 0075-8450 Series E-ISSN 1616-6361
issn_series 0075-8450
copyrightSpringer-Verlag Berlin Heidelberg 1989
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978-3-662-13751-2Springer-Verlag Berlin Heidelberg 1989
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II. The topological structure of the space of states,
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IV. Generalized eigenvectors and the nuclear spectral theorem,
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I. Rigged Hilbert spaces of Hardy class functions,
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Book 1989strates its ease of applicability to problems in quantum physics. The book starts by describing in detail the concept of Gel‘fand triplets and how one can make use of them to make the Dirac heuristic approach rigorous. The results are then deepened by giving the analytic tools, such as the Hardy cla
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