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Although there are many books published in solid state physics, there is a wide gap between the active field of research and the concepts traditionally taught in solid state courses. This book fills that gap. The style is tutorial, simple, and completely self-contained. Solid State Physics explains to readers the newest advances in the area of condensed matter physics with rigorous, but lucid mathematics. Examples are an integral part of the text, and they are carefully designed to apply the fundamental principles illustrated in the text to currently active topics of research. Key Features…mehr
Although there are many books published in solid state physics, there is a wide gap between the active field of research and the concepts traditionally taught in solid state courses. This book fills that gap. The style is tutorial, simple, and completely self-contained. Solid State Physics explains to readers the newest advances in the area of condensed matter physics with rigorous, but lucid mathematics. Examples are an integral part of the text, and they are carefully designed to apply the fundamental principles illustrated in the text to currently active topics of research. Key Features Bridges the gap between fundamental principles and active fields of reserch, including explanations of all the latest advances Provides an in-depth treatment of current research topics Examples are integral to the text and apply fundamental principles to current topics of research Both authors have many years of experience of teaching at a variety of levels--undergraduate, post-graduate, tutorial workshops and seminars Although there are many books published in solid state physics, there is a wide gap between the active field of research and the concepts traditionally taught in solid state courses. This book fills that gap. The style is tutorial, simple, and completely self-contained. Solid State Physics explains to readers the newest advances in the area of condensed matter physics with rigorous, but lucid mathematics. Examples are an integral part of the text, and they are carefully designed to apply the fundamental principles illustrated in the text to currently active topics of research. Key Features Bridges the gap between fundamental principles and active fields of reserch, including explanations of all the latest advances Provides an in-depth treatment of current research topics Examples are integral to the text and apply fundamental principles to current topics of research Both authors have many years of experience of teaching at a variety of levels--undergraduate, post-graduate, tutorial workshops and seminars
Produktdetails
- Produktdetails
- Verlag: Academic Press
- Seitenzahl: 714
- Englisch
- Abmessung: 229mm
- Gewicht: 1360g
- ISBN-13: 9780123044600
- ISBN-10: 012304460X
- Artikelnr.: 21869535
- Herstellerkennzeichnung Die Herstellerinformationen sind derzeit nicht verfügbar.
- Verlag: Academic Press
- Seitenzahl: 714
- Englisch
- Abmessung: 229mm
- Gewicht: 1360g
- ISBN-13: 9780123044600
- ISBN-10: 012304460X
- Artikelnr.: 21869535
- Herstellerkennzeichnung Die Herstellerinformationen sind derzeit nicht verfügbar.
Preface Chapter I Electrons in One-Dimensional Periodic Potentials 1 The Bloch Theorem for One-Dimensional Periodicity 2 Energy Levels in a Periodic Array of Quantum Wells 3 Electron Tunneling and Energy Bands 3.1 Transmission and Reflection of Electrons through an Arbitrary Potential 3.2 Electron Tunneling through a Periodic Potential 4 The Tight-Binding Approximation 4.1 Expansion in Localized Orbitals 4.2 Tridiagonal Matrices and Continued Fractions 5 Plane Waves and Nearly Free-Electron Approximation 5.1 Expansion in Plane Waves 5.2 The Mathieu Potential and the Continued Fraction Solution 6 Some Dynamical Aspects of Electrons in Band Theory Further Reading Chapter II Geometrical Description of Crystals: Direct and Reciprocal Lattices 1 Simple Lattices and Composite Lattices 1.1 Periodicity and Bravais Lattices 1.2 Simple and Composite Crystal Structures 2 Geometrical Description of Some Crystal Structures 3 Wigner-Seitz Primitive Cells 4 Reciprocal Lattices 4.1 Definitions and Basic Properties 4.2 Planes and Directions in Bravais Lattices 5 Brillouin Zones 6 Translational Symmetry and Quantum Mechanical Aspects 6.1 Translational Symmetry and Bloch Wavefunctions 6.2 the Parametric K.P Hamiltonian 6.3 Cyclic Boundary Conditions 6.4 Special K Points for Averaging over the Brillouin Zone 7 Density-of-States and Critical Points Further Reading Chapter III the Sommerfeld Free-Electron Theory of Metals 1 Quantum Theory of the Free-Electron Gas 2 Fermi-Dirac Distribution Function and Chemical Potential 3 Electronic Specific Heat in Metals and Thermodynamic Functions 4 Thermionic Emission from Metals Appendix A. Outline of Statistical Physics and Thermodynamic Relations Al. Microcanonical Ensemble and Thermodynamic Quantities A2. Canonical Ensemble and Thermodynamic Quantities A3. Grand Canonical Ensemble and Thermodynamic Quantities Appendix B. Fermi-Dirac and Bose-Einstein Statistics for Independent Particles Appendix C. Modified Fermi-Dirac Statistics in a Model of Correlation Effects Further Reading Chapter IV The One-Electron Approximation and Beyond 1 Introductory Remarks on the Many-Electron Problem 2 The Hartree Equations 3 Identical Particles and Determinantal Wavefunctions 4 Matrix Elements Between Determinantal States 5 the Hartree-Fock Equations 5.1 Variational Approach and Hartree-Fock Equations 5.2 Ground-State Energy, Ionization Energies and Transition Energies 5.3 Hartree-Fock Equations and Transition Energies in Closed-Shell Systems 5.4 Hartree-Fock-Slater and Hartree-Fock-Roothaan Approximations 6 Overview of Approaches Beyond the One-Electron Approximation 7 Electronic Properties and Phase Diagram of the Homogeneous Electron Gas 8 The Density Functional Theory and the Kohn-Sham Equations Appendix A. Bielectronic Integrals among Spin-Orbitals Appendix B. Outline of Second Quantization Formalism for Identical Fermions Appendix C. An Integral on the Fermi Sphere Further Reading Chapter V Band Theory of Crystals 1 Basic Assumptions of the Band Theory 2 The Tight-Binding Method (LCAO Method) 2.1 Description of the Method for Simple Lattices 2.2 Description of the Tight-Binding Method for Composite Lattices 2.3 Illustrative Appucations of the Tight-Binding Scheme 3 The Orthogonalized Plane Wave (OPW) Method 4 the Pseudopotential Method 5 The Cellular Method 6 The Augmented Plane Wave (APW) Method 6.1 Description of the Method 6.2 Expression and Evaluation of the Matrix Elements of the APW Method 7 the Green'S Function Method (KKR Method) 7.1 Scattering Integral Equation for a Generic Potential 7.2 Scattering Integral Equation for a Periodic Muffin-Tin Potential 7.3 Expression and Evaluation of the Structure Coefficients 8 Other Methods and Developments in Electronic Structure Calculations Preface Chapter I Electrons in One-Dimensional Periodic Potentials 1 The Bloch Theorem for One-Dimensional Periodicity 2 Energy Levels in a Periodic Array of Quantum Wells 3 Electron Tunneling and Energy Bands 3.1 Transmission and Reflection of Electrons through an Arbitrary Potential 3.2 Electron Tunneling through a Periodic Potential 4 The Tight-Binding Approximation 4.1 Expansion in Localized Orbitals 4.2 Tridiagonal Matrices and Continued Fractions 5 Plane Waves and Nearly Free-Electron Approximation 5.1 Expansion in Plane Waves 5.2 The Mathieu Potential and the Continued Fraction Solution 6 Some Dynamical Aspects of Electrons in Band Theory Further Reading Chapter II Geometrical Description of Crystals: Direct and Reciprocal Lattices 1 Simple Lattices and Composite Lattices 1.1 Periodicity and Bravais Lattices 1.2 Simple and Composite Crystal Structures 2 Geometrical Description of Some Crystal Structures 3 Wigner-Seitz Primitive Cells 4 Reciprocal Lattices 4.1 Definitions and Basic Properties 4.2 Planes and Directions in Bravais Lattices 5 Brillouin Zones 6 Translational Symmetry and Quantum Mechanical Aspects 6.1 Translational Symmetry and Bloch Wavefunctions 6.2 the Parametric K.P Hamiltonian 6.3 Cyclic Boundary Conditions 6.4 Special K Points for Averaging over the Brillouin Zone 7 Density-of-States and Critical Points Further Reading Chapter III the Sommerfeld Free-Electron Theory of Metals 1 Quantum Theory of the Free-Electron Gas 2 Fermi-Dirac Distribution Function and Chemical Potential 3 Electronic Specific Heat in Metals and Thermodynamic Functions 4 Thermionic Emission from Metals Appendix A. Outline of Statistical Physics and Thermodynamic Relations Al. Microcanonical Ensemble and Thermodynamic Quantities A2. Canonical Ensemble and Thermodynamic Quantities A3. Grand Canonical Ensemble and Thermodynamic Quantities Appendix B. Fermi-Dirac and Bose-Einstein Statistics for Independent Particles Appendix C. Modified Fermi-Dirac Statistics in a Model of Correlation Effects Further Reading Chapter IV The One-Electron Approximation and Beyond 1 Introductory Remarks on the Many-Electron Problem 2 The Hartree Equations 3 Identical Particles and Determinantal Wavefunctions 4 Matrix Elements Between Determinantal States 5 the Hartree-Fock Equations 5.1 Variational Approach and Hartree-Fock Equations 5.2 Ground-State Energy, Ionization Energies and Transition Energies 5.3 Hartree-Fock Equations and Transition Energies in Closed-Shell Systems 5.4 Hartree-Fock-Slater and Hartree-Fock-Roothaan Approximations 6 Overview of Approaches Beyond the One-Electron Approximation 7 Electronic Properties and Phase Diagram of the Homogeneous Electron Gas 8 The Density Functional Theory and the Kohn-Sham Equations Appendix A. Bielectronic Integrals among Spin-Orbitals Appendix B. Outline of Second Quantization Formalism for Identical Fermions Appendix C. An Integral on the Fermi Sphere Further Reading Chapter V Band Theory of Crystals 1 Basic Assumptions of the Band Theory 2 The Tight-Binding Method (LCAO Method) 2.1 Description of the Method for Simple Lattices 2.2 Description of the Tight-Binding Method for Composite Lattices 2.3 Illustrative Appucations of the Tight-Binding Scheme 3 The Orthogonalized Plane Wave (OPW) Method 4 the Pseudopotential Method 5 The Cellular Method 6 The Augmented Plane Wave (APW) Method 6.1 Description of the Method 6.2 Expression and Evaluation of the Matrix Elements of the APW Method 7 the Green'S Function Method (KKR Method) 7.1 Scattering Integral Equation for a Generic Potential 7.2 Scattering Integral Equation for a Periodic Muffin-Tin Potential 7.3 Expression and Evaluation of the Structure Coefficients 8 Other Methods and Developments in Electronic Structure Calculations
Preface Chapter I Electrons in One-Dimensional Periodic Potentials 1 The Bloch Theorem for One-Dimensional Periodicity 2 Energy Levels in a Periodic Array of Quantum Wells 3 Electron Tunneling and Energy Bands 3.1 Transmission and Reflection of Electrons through an Arbitrary Potential 3.2 Electron Tunneling through a Periodic Potential 4 The Tight-Binding Approximation 4.1 Expansion in Localized Orbitals 4.2 Tridiagonal Matrices and Continued Fractions 5 Plane Waves and Nearly Free-Electron Approximation 5.1 Expansion in Plane Waves 5.2 The Mathieu Potential and the Continued Fraction Solution 6 Some Dynamical Aspects of Electrons in Band Theory Further Reading Chapter II Geometrical Description of Crystals: Direct and Reciprocal Lattices 1 Simple Lattices and Composite Lattices 1.1 Periodicity and Bravais Lattices 1.2 Simple and Composite Crystal Structures 2 Geometrical Description of Some Crystal Structures 3 Wigner-Seitz Primitive Cells 4 Reciprocal Lattices 4.1 Definitions and Basic Properties 4.2 Planes and Directions in Bravais Lattices 5 Brillouin Zones 6 Translational Symmetry and Quantum Mechanical Aspects 6.1 Translational Symmetry and Bloch Wavefunctions 6.2 the Parametric K.P Hamiltonian 6.3 Cyclic Boundary Conditions 6.4 Special K Points for Averaging over the Brillouin Zone 7 Density-of-States and Critical Points Further Reading Chapter III the Sommerfeld Free-Electron Theory of Metals 1 Quantum Theory of the Free-Electron Gas 2 Fermi-Dirac Distribution Function and Chemical Potential 3 Electronic Specific Heat in Metals and Thermodynamic Functions 4 Thermionic Emission from Metals Appendix A. Outline of Statistical Physics and Thermodynamic Relations Al. Microcanonical Ensemble and Thermodynamic Quantities A2. Canonical Ensemble and Thermodynamic Quantities A3. Grand Canonical Ensemble and Thermodynamic Quantities Appendix B. Fermi-Dirac and Bose-Einstein Statistics for Independent Particles Appendix C. Modified Fermi-Dirac Statistics in a Model of Correlation Effects Further Reading Chapter IV The One-Electron Approximation and Beyond 1 Introductory Remarks on the Many-Electron Problem 2 The Hartree Equations 3 Identical Particles and Determinantal Wavefunctions 4 Matrix Elements Between Determinantal States 5 the Hartree-Fock Equations 5.1 Variational Approach and Hartree-Fock Equations 5.2 Ground-State Energy, Ionization Energies and Transition Energies 5.3 Hartree-Fock Equations and Transition Energies in Closed-Shell Systems 5.4 Hartree-Fock-Slater and Hartree-Fock-Roothaan Approximations 6 Overview of Approaches Beyond the One-Electron Approximation 7 Electronic Properties and Phase Diagram of the Homogeneous Electron Gas 8 The Density Functional Theory and the Kohn-Sham Equations Appendix A. Bielectronic Integrals among Spin-Orbitals Appendix B. Outline of Second Quantization Formalism for Identical Fermions Appendix C. An Integral on the Fermi Sphere Further Reading Chapter V Band Theory of Crystals 1 Basic Assumptions of the Band Theory 2 The Tight-Binding Method (LCAO Method) 2.1 Description of the Method for Simple Lattices 2.2 Description of the Tight-Binding Method for Composite Lattices 2.3 Illustrative Appucations of the Tight-Binding Scheme 3 The Orthogonalized Plane Wave (OPW) Method 4 the Pseudopotential Method 5 The Cellular Method 6 The Augmented Plane Wave (APW) Method 6.1 Description of the Method 6.2 Expression and Evaluation of the Matrix Elements of the APW Method 7 the Green'S Function Method (KKR Method) 7.1 Scattering Integral Equation for a Generic Potential 7.2 Scattering Integral Equation for a Periodic Muffin-Tin Potential 7.3 Expression and Evaluation of the Structure Coefficients 8 Other Methods and Developments in Electronic Structure Calculations Preface Chapter I Electrons in One-Dimensional Periodic Potentials 1 The Bloch Theorem for One-Dimensional Periodicity 2 Energy Levels in a Periodic Array of Quantum Wells 3 Electron Tunneling and Energy Bands 3.1 Transmission and Reflection of Electrons through an Arbitrary Potential 3.2 Electron Tunneling through a Periodic Potential 4 The Tight-Binding Approximation 4.1 Expansion in Localized Orbitals 4.2 Tridiagonal Matrices and Continued Fractions 5 Plane Waves and Nearly Free-Electron Approximation 5.1 Expansion in Plane Waves 5.2 The Mathieu Potential and the Continued Fraction Solution 6 Some Dynamical Aspects of Electrons in Band Theory Further Reading Chapter II Geometrical Description of Crystals: Direct and Reciprocal Lattices 1 Simple Lattices and Composite Lattices 1.1 Periodicity and Bravais Lattices 1.2 Simple and Composite Crystal Structures 2 Geometrical Description of Some Crystal Structures 3 Wigner-Seitz Primitive Cells 4 Reciprocal Lattices 4.1 Definitions and Basic Properties 4.2 Planes and Directions in Bravais Lattices 5 Brillouin Zones 6 Translational Symmetry and Quantum Mechanical Aspects 6.1 Translational Symmetry and Bloch Wavefunctions 6.2 the Parametric K.P Hamiltonian 6.3 Cyclic Boundary Conditions 6.4 Special K Points for Averaging over the Brillouin Zone 7 Density-of-States and Critical Points Further Reading Chapter III the Sommerfeld Free-Electron Theory of Metals 1 Quantum Theory of the Free-Electron Gas 2 Fermi-Dirac Distribution Function and Chemical Potential 3 Electronic Specific Heat in Metals and Thermodynamic Functions 4 Thermionic Emission from Metals Appendix A. Outline of Statistical Physics and Thermodynamic Relations Al. Microcanonical Ensemble and Thermodynamic Quantities A2. Canonical Ensemble and Thermodynamic Quantities A3. Grand Canonical Ensemble and Thermodynamic Quantities Appendix B. Fermi-Dirac and Bose-Einstein Statistics for Independent Particles Appendix C. Modified Fermi-Dirac Statistics in a Model of Correlation Effects Further Reading Chapter IV The One-Electron Approximation and Beyond 1 Introductory Remarks on the Many-Electron Problem 2 The Hartree Equations 3 Identical Particles and Determinantal Wavefunctions 4 Matrix Elements Between Determinantal States 5 the Hartree-Fock Equations 5.1 Variational Approach and Hartree-Fock Equations 5.2 Ground-State Energy, Ionization Energies and Transition Energies 5.3 Hartree-Fock Equations and Transition Energies in Closed-Shell Systems 5.4 Hartree-Fock-Slater and Hartree-Fock-Roothaan Approximations 6 Overview of Approaches Beyond the One-Electron Approximation 7 Electronic Properties and Phase Diagram of the Homogeneous Electron Gas 8 The Density Functional Theory and the Kohn-Sham Equations Appendix A. Bielectronic Integrals among Spin-Orbitals Appendix B. Outline of Second Quantization Formalism for Identical Fermions Appendix C. An Integral on the Fermi Sphere Further Reading Chapter V Band Theory of Crystals 1 Basic Assumptions of the Band Theory 2 The Tight-Binding Method (LCAO Method) 2.1 Description of the Method for Simple Lattices 2.2 Description of the Tight-Binding Method for Composite Lattices 2.3 Illustrative Appucations of the Tight-Binding Scheme 3 The Orthogonalized Plane Wave (OPW) Method 4 the Pseudopotential Method 5 The Cellular Method 6 The Augmented Plane Wave (APW) Method 6.1 Description of the Method 6.2 Expression and Evaluation of the Matrix Elements of the APW Method 7 the Green'S Function Method (KKR Method) 7.1 Scattering Integral Equation for a Generic Potential 7.2 Scattering Integral Equation for a Periodic Muffin-Tin Potential 7.3 Expression and Evaluation of the Structure Coefficients 8 Other Methods and Developments in Electronic Structure Calculations