A modern course in the quantum theory of solids / Fuxiang Han.

Format:

Book

Author/Creator:

Han, Fuxiang.

Language:

English

Subjects (All):

Chemical bonds.

Quantum theory.

Solid state physics.

Physical Description:

1 online resource (721 p.)

Edition:

1st ed.

Place of Publication:

Singapore ; Hackensack, N.J. ; London : World Scientific, c2012.

Language Note:

English

Summary:

This book contains advanced subjects in solid state physics with emphasis on the theoretical exposition of various physical phenomena in solids using quantum theory, hence entitled "A modern course in the quantum theory of solids". The use of the adjective "modern" in the title is to reflect the fact that some of the new developments in condensed matter physics have been included in the book. The new developments contained in the book are mainly in experimental methods (inelastic neutron scattering and photoemission spectroscopy), in magnetic properties of solids (the itinerant magnetism, the

Contents:

Preface; Contents; 1. Lattice Dynamics; 1.1 Born-Oppenheimer Approximation; 1.2 Lattice Potential Energy and Harmonic Approximation; 1.3 Normal Modes of a Three-Dimensional Crystal with a Multi-Atom Basis; 1.3.1 Equations of motion of atoms; 1.3.2 Allowed values of wave vector k; 1.3.3 Allowed values of frequency ω; 1.3.4 Polarization vectors; 1.3.5 Displacements of atoms; 1.3.6 Hamiltonian of a crystal with a multi-atom basis; 1.4 Classical Theory of the Lattice Specific Heat; 1.5 Quantization of Lattice Vibrations; 1.5.1 Statistics for phonons; 1.6 Phonon Density of States

1.7 Lattice Specific Heat of Solids1.7.1 General expression of the lattice specific heat; 1.7.2 High-temperature limit; 1.7.3 Low-temperature limit; 1.8 Debye Model; 1.8.1 High-temperature limit; 1.8.2 Low-temperature limit; 1.8.3 Debye temperature; 1.9 Einstein Model; 1.10 Effect of Thermal Expansion on Phonon Frequencies; 1.11 Specific Heat of a Metal; Problems; 2. Determination of Phonon Dispersion Relations; 2.1 Experimental Techniques; 2.1.1 Triple-axis spectrometer; 2.1.2 Time-of-flight-spectrometer; 2.2 Description of Neutron Scattering; 2.2.1 System of the neutron and crystal

2.2.2 Interaction between the neutron and crystal2.2.3 Scattering amplitude and differential cross-section; 2.3 Double Differential Cross-Section; 2.4 Elastic Scattering; 2.5 Inelastic Scattering; Problems; 3. Elementary Theory of Energy Bands; 3.1 Development of Computational Methods for Band Structures; 3.2 Fundamental Problem in an Energy Band Theory; 3.2.1 Independent-electron approach; 3.2.2 Correlated-electron approach; 3.3 Hartree-Fock Method; 3.3.1 Hartree method; 3.3.2 Hartree-Fock method; 3.3.2.1 Slater determinant trial wave function; 3.3.2.2 Energy average

3.3.2.3 Direct and exchange terms3.3.2.4 Hartree-Fock equations; 3.3.3 Application of the Hartree-Fock method to the electron gas; 3.3.4 Variants of the Hartree-Fock method; 3.3.4.1 Restricted Hartree-Fock method; 3.3.4.2 Unrestricted Hartree-Fock method; 3.4 Plane-Wave Method; 3.4.1 Numerical issues; 3.4.1.1 Energy cutoff and basis set of plane waves; 3.4.1.2 Diagonalization of the Hamiltonian matrix; 3.4.1.3 Special wave vectors in the first Brillouin zone; 3.4.2 Slow convergence of the plane-wave method; 3.5 k · p Method; 3.5.1 Effective mass tensor; 3.5.2 Effective mass theory

3.6 Augmented-Plane-Wave Method3.6.1 Muffin-tin spheres; 3.6.2 Muffin-tin potential; 3.6.3 Augmented plane waves; 3.6.4 APW secular equation; 3.7 Linearized-Augmented-Plane-Wave Method; 3.7.1 New augmented plane wave basis functions; 3.7.1.1 Energy derivatives of radial wave functions; 3.7.1.2 New augmented plane waves; 3.7.2 LAPW secular equation; 3.8 Linear-Muffin-Tin-Orbitals Method; 3.9 KKR Method; 3.10 Orthogonalized-Plane-Wave Method; 3.10.1 Linear combination of core orbitals; 3.10.2 Orthogonalized plane waves; 3.10.3 OPW secular equation; 3.10.4 OPW pseudopotential

3.11 Tight-Binding Method

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

1-299-28110-9

981-4417-15-7

OCLC:

830162408