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Titlebook: Mathematical Models and Methods for Ab Initio Quantum Chemistry; Mireille Defranceschi,Claude Bris Book 2000 Springer-Verlag Berlin Heidel

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發(fā)表于 2025-3-21 16:57:40 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Mathematical Models and Methods for Ab Initio Quantum Chemistry
編輯Mireille Defranceschi,Claude Bris
視頻videohttp://file.papertrans.cn/627/626420/626420.mp4
叢書名稱Lecture Notes in Chemistry
圖書封面Titlebook: Mathematical Models and Methods for Ab Initio Quantum Chemistry;  Mireille Defranceschi,Claude Bris Book 2000 Springer-Verlag Berlin Heidel
描述On the occasion of the fourth International Conference on Industrial and Applied Mathematics!, we decided to organize a sequence of 4 minisymposia devoted to the mathematical aspects and the numerical aspects of Quantum Chemistry. Our goal was to bring together scientists from different communities, namely mathematicians, experts at numerical analysis and computer science, chemists, just to see whether this heterogeneous set of lecturers can produce a rather homogeneous presentation of the domain to an uninitiated audience. To the best of our knowledgde, nothing of this kind had never been tempted so far. It seemed to us that it was the good time for doing it, both . because the interest of applied mathematicians into the world of computational chemistry has exponentially increased in the past few years, and because the community of chemists feels more and more concerned with the numerical issues. Indeed, in the early years of Quantum Chemistry, the pioneers (Coulson, Mac Weeny, just to quote two of them) used to solve fundamental equations modelling toy systems which could be simply numerically handled in view of their very limited size. The true difficulty arose with the need to
出版日期Book 2000
關(guān)鍵詞Angewandte Mathematik; Dirac equation; Quantenchemie; applied mathematics; mathematics; quantum chemistry
版次1
doihttps://doi.org/10.1007/978-3-642-57237-1
isbn_softcover978-3-540-67631-7
isbn_ebook978-3-642-57237-1Series ISSN 0342-4901 Series E-ISSN 2192-6603
issn_series 0342-4901
copyrightSpringer-Verlag Berlin Heidelberg 2000
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978-3-540-67631-7Springer-Verlag Berlin Heidelberg 2000
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發(fā)表于 2025-3-22 02:50:15 | 只看該作者
Mathematical Models and Methods for Ab Initio Quantum Chemistry978-3-642-57237-1Series ISSN 0342-4901 Series E-ISSN 2192-6603
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A mathematical insight into , simulations of the solid phaseWe give here an introduction to the language of . solid-state theory. Starting from the intrinseque symmetries of a perfect crystal, we show how it is related to band structure theory and give a brief overview of the techniques in use to simulate such systems.
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Recent mathematical results on the quantum modeling of crystalsels for the ground-state energy of solid crystals. These models are the analogues for the solid state of well-known models issued from Quantum Chemistry, namely Thomas-Fermi, Hartree and Hartree-Fock type models. We shall present a broad overview on recent mathematical studies on this topic.
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Variational methods in relativistic quantum mechanics: new approach to the computation of Dirac eige that we introduce is done in a particular set offunctions satisfying a nonlinear constraint. Finally, we present several numerical methods that we have implemented in particular cases, in order to construct approximate solutions of that minimization problem.
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