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電子關聯和磁性 版權信息
- ISBN：9787510078644
- 條形碼：9787510078644 ; 978-7-5100-7864-4
- 裝幀：一般膠版紙
- 冊數：暫無
- 重量：暫無
- 所屬分類：>
電子關聯和磁性 本書特色
The one-term, 4-hours-a-week course on magnetism presented a chal-lenge known to all physicists in the field: research interests in the past half a century have been dominated by the effects of strong electron-electron interaction, while standard solid state physics textbooks re-main within the bounds of band theory which is a suitable language for weakly correlated systems, and then add a chapter on Heisenberg magnets whose very existence is in contradiction with the rest of the material, and gets never properly justified. The usual way of clarifying these matters is to go through a formal education in many-body theory, and to learn about strong correlation effects piecemeal from its applica-tions (and breakdowns). This, however, is usually the beginning of the professional career of a theoretician, and it may not be the most recom-mendable approach for others, One takes a long time to discover that there is a unified, non-formal way of thinking about strong correlation phenomena that has long been shared by experimentalists and theoreti-cians in the field; it can be called elementary and should be accessible to all - but it cannot be found in the well-known textbooks.
電子關聯和磁性 內容簡介
本書1999年初版，2003、2008年重印，旨在將固態物理學的標準入門教材和講述其發展的專著之間架起一座橋梁。從*基本的磁性理論問題開始，到相對基礎的專題，如重費米子，Mott過渡，量子磁性。盡管這部教材相對比較理論，但并沒有假定讀者具備一定的理論知識，也討論一些實驗發現。自始至終有問題相伴，并給出了詳細解答。
電子關聯和磁性 目錄
Preface
1 Introduction
1.1 Magnetism and Other Effects of Electron-Electron Interaction
1.2 Sources of Magnetic Fields
1.3 Getting Acquainted: Magnetite
1.3.1 Charge States
1.3.2 Spin States
1.3.3 Charge Ordering
1.4 Variety of Correlated Systems: An Outline of the Course
2 Atoms, Ions, and Molecules
2.1 Hydrogen Atom in a Magnetic Field
2.1.1 Non-Relativistic Treatment
Motion in a Magnetic FieldPreface
1 Introduction
1.1 Magnetism and Other Effects of Electron-Electron Interaction
1.2 Sources of Magnetic Fields
1.3 Getting Acquainted: Magnetite
1.3.1 Charge States
1.3.2 Spin States
1.3.3 Charge Ordering
1.4 Variety of Correlated Systems: An Outline of the Course
2 Atoms, Ions, and Molecules
2.1 Hydrogen Atom in a Magnetic Field
2.1.1 Non-Relativistic Treatment
Motion in a Magnetic Field
Zeeman Effect (I)
2.1.2 Relativistic Effects
Spin-Orbit Coupling
Zeeman Effect (II)
Problem 2.1
2.2 Direct Exchange
Problem 2.2
2.3 Many-Electron Ions
Problem 2.3
2.3.1 Coupling to the Magnetic Field
Digression: The Bohr-Van Leeuwen Theorem
2.3.2 Hund's Rules
Problem 2.4
2.4 Paramagnetism and Diamagnetism
2.4.1 Paramagnetic Susceptibility
Magnetization Curve
Problems 2.5-2.8
2.4.2 Diamagnetism
Digression: Superstrong Fields
2.5 Hydrogen Molecule
2.5.1 Direct Exchange in Non-Orthogonal Orbitals
2.5.2 Kinetic Exchange
2.5.3 Molecular Orbitals versus Heitler-London
Solutions to the Problems
3 Crystal Field Theory
3.1 Incomplete Shells in an Anisotropic Environment: CrystaIFields
3.2 The Role of Symmetry Arguments in Quantum Mechanics
3.2.1 Irreducible Representations
3.3 The Octahedral Group
Problems 3.1-3.2
3.4 Symmetry Properties of Atomic States
3.5 Splitting of a d-Level in Cubic Field
3.5.1 Quenching the Orbital Angular Momentum
3.5.2 Partial Restoration ofOrbitalMomentum by Spin
Orbit Coupling
Problems 3.3-3.4
3.5.3 High-Spin versus Low-Spin States
3.6 Jahn-Teller Effect
3.7 Time Reversallnvariance
3.8 The f2 Configuration
3.8.1 Cubic Crystal Field
3.8.2 Tetragonal Crystal Field
3.8.3 Metamagnetic Transition
3.8.4 Exchange Induced Magnetism
Problems 3.5-3.6
3.9 DoubleGroups
……
4 Mott Transition and Hubbard Model
5 Mott Insulators
6 Heisenberg Magnets
7 Itinerant Electron Magnetism
8 Ferromagnetism in Hubbard Models
9 The Gutzwiller Variational Method
10 The Correlated Metallic State
11 Mixed Valence and Heavy Fermions
12 Quantum Hall Effect
A Hydrogen Atom
B Single-Spin-Flip Ansatz
C Gutzwiller Approximation
D Schrieffer-Wolff Transformation
Bibliography
Index信息
1 Introduction
1.1 Magnetism and Other Effects of Electron-Electron Interaction
1.2 Sources of Magnetic Fields
1.3 Getting Acquainted: Magnetite
1.3.1 Charge States
1.3.2 Spin States
1.3.3 Charge Ordering
1.4 Variety of Correlated Systems: An Outline of the Course
2 Atoms, Ions, and Molecules
2.1 Hydrogen Atom in a Magnetic Field
2.1.1 Non-Relativistic Treatment
Motion in a Magnetic FieldPreface
1 Introduction
1.1 Magnetism and Other Effects of Electron-Electron Interaction
1.2 Sources of Magnetic Fields
1.3 Getting Acquainted: Magnetite
1.3.1 Charge States
1.3.2 Spin States
1.3.3 Charge Ordering
1.4 Variety of Correlated Systems: An Outline of the Course
2 Atoms, Ions, and Molecules
2.1 Hydrogen Atom in a Magnetic Field
2.1.1 Non-Relativistic Treatment
Motion in a Magnetic Field
Zeeman Effect (I)
2.1.2 Relativistic Effects
Spin-Orbit Coupling
Zeeman Effect (II)
Problem 2.1
2.2 Direct Exchange
Problem 2.2
2.3 Many-Electron Ions
Problem 2.3
2.3.1 Coupling to the Magnetic Field
Digression: The Bohr-Van Leeuwen Theorem
2.3.2 Hund's Rules
Problem 2.4
2.4 Paramagnetism and Diamagnetism
2.4.1 Paramagnetic Susceptibility
Magnetization Curve
Problems 2.5-2.8
2.4.2 Diamagnetism
Digression: Superstrong Fields
2.5 Hydrogen Molecule
2.5.1 Direct Exchange in Non-Orthogonal Orbitals
2.5.2 Kinetic Exchange
2.5.3 Molecular Orbitals versus Heitler-London
Solutions to the Problems
3 Crystal Field Theory
3.1 Incomplete Shells in an Anisotropic Environment: CrystaIFields
3.2 The Role of Symmetry Arguments in Quantum Mechanics
3.2.1 Irreducible Representations
3.3 The Octahedral Group
Problems 3.1-3.2
3.4 Symmetry Properties of Atomic States
3.5 Splitting of a d-Level in Cubic Field
3.5.1 Quenching the Orbital Angular Momentum
3.5.2 Partial Restoration ofOrbitalMomentum by Spin
Orbit Coupling
Problems 3.3-3.4
3.5.3 High-Spin versus Low-Spin States
3.6 Jahn-Teller Effect
3.7 Time Reversallnvariance
3.8 The f2 Configuration
3.8.1 Cubic Crystal Field
3.8.2 Tetragonal Crystal Field
3.8.3 Metamagnetic Transition
3.8.4 Exchange Induced Magnetism
Problems 3.5-3.6
3.9 DoubleGroups
……
4 Mott Transition and Hubbard Model
5 Mott Insulators
6 Heisenberg Magnets
7 Itinerant Electron Magnetism
8 Ferromagnetism in Hubbard Models
9 The Gutzwiller Variational Method
10 The Correlated Metallic State
11 Mixed Valence and Heavy Fermions
12 Quantum Hall Effect
A Hydrogen Atom
B Single-Spin-Flip Ansatz
C Gutzwiller Approximation
D Schrieffer-Wolff Transformation
Bibliography
Index信息
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電子關聯和磁性 作者簡介
Patrik Fazekas(P.法則克斯,匈牙利)是國際知名學者，在數學和物理學界享有盛譽。本書凝聚了作者多年科研和教學成果，適用于科研工作者、高校教師和研究生。
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