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出版社:世界圖書出版公司
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ISBN:9787519220877
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作者:(美)R.M.馬丁
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頁數:624
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出版日期:2017-01-01
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印刷日期:2017-01-01
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包裝:平裝
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開本:16開
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版次:1
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印次:1
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字數:768千字
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由R.M.馬丁著的《電子結構(英文版)》是一部教 科書,內容分為五個部分。第一部分介紹相關理論知 識,重點討論周期結構和能帶論等。第二部分介紹密 度泛函理論,重點討論Kohn-Sham方法。第三部分介 紹原子的重要預備知識,包括原子的電子結構和贗勢 。第四部分介紹確定電子結構的三個基本方法:平面 波和網格方法,局域化軌道方法和綴加函數方法。第 五部分介紹從電子結構確定材料性質的一些新進展, 包括量子分子動力學、響應函數、極化和局域化。
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Preface Acknowledgments Notation Part I Overview and background topics 1 Introduction Summary 1.1 Quantum theory and the origins of electronic structure 1.2 Emergence of quantitative calculations 1.3 The greatest challenge: electron correlation 1.4 Recent developments Select further reading Overview 2 Summary 2.1 Electronic ground state: bonding and characteristic structures 2.2 Volume or pressure as the most fundamental variable 2.3 Elasticity: stress-strain relations 2.4 Magnetism and electron-electron interactions 2.5 Phonons and displacive phase transitions 2.6 Thermal properties: solids, liquids, and phase diagrams 2.7 Atomic motion: diffusion, reactions, and catalysis 2.8 Surfaces, interfaces, and defects 2.9 Nanomaterials: between molecules and condensed matter 2.10 Electronic excitations: bands and band gaps 2.11 Electronic excitations: heat capacity, conductivity, and optical spectra 2.12 Example of MgB2: bands, phonons, and superconductivity 2.13 The continuing challenge: electron correlation Select further reading 3 Theoretical background Summary 3.1 Basic equations for interacting electrons and nuclei 3.2 Coulomb interaction in condensed matter 3.3 Force and stress theorems 3.4 Statistical mechanics and the density matrix 3.5 Independent-electron approximations 3.6 Exchange and correlation 3.7 Perturbation theory and the "2n + 1 theorem" Select further reading Exercises 4 Periodic solids and electron bands Summary 4.1 Structures of crystals: lattice + basis 4.2 The reciprocal lattice and Brillouin zone 4.3 Excitations and the Bloch theorem 4.4 Time reversal and inversion symmetries 4.5 Point symmetries 4.6 Integration over the Brillouin zone and special points 4.7 Density of states Select further reading Exercises 5 Uniform electron gas and simple metals Summary 5.1 Non-interacting and Hartree-Fock approximations 5.2 The correlation hole and energy 5.3 Binding in sp-bonded metals 5.4 Excitations and the Lindhard dielectric function Select further reading Exercises Part II Density functional theory 6 Density functional theory: foundations Summary 6.1 Thomas-Fermi-Dirac approximation: example of a functional 6.2 The Hohenberg-Kohn theorems 6.3 Constrained search formulation of density functional theory 6.4 Extensions of Hohenberg-Kohn theorems 6.5 Intricacies of exact density functional theory 6.6 Difficulties in proceeding from the density Select further reading Exercises 7 The Kohn-Sham auxiliary system …… 8 Functionals for exchange and correlation 9 Solving Kohn-Sham equations Part III Important preliminaries on atoms 10 electronic structure of atoms 11 Pseudopotentials Part IV Determination of electronic structure: the three basic methods 12 Plane waves and grids: basics 13 Plane waves and grids: full calculations 14 Localized orbitals: tight—binding 15 Localized orbitals: full calculations 16 Augmented functions: APW,KKR,MTO 17 Augmented functions: linear methods Part V Predicting properties of matter from electronic structure—recent developments 18 Quantm molecular dynamics (QMD) 19 Response functions: phonons, magnons,... 20 Excitation spectra and optical properties 21 Wannier functions 22 Polarization, localization, and Berry's phases 23 Locality and linear scaling O(N) methods 24 Where to find more References Index
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