聲子與電子導(dǎo)論INTRODUCTION TO PHONONS AND ELECTRONS

內(nèi)容概要

This book focuses on phonons and electrons, which the student needs to learn first in solid state physics. The required quantum theory and statistical physics are derived from scratch. Systematic in structure and tutorial in style, the treatment is filled with detailed mathematical steps and physical interpretations. This approach ensures a self-sufficient content for easier teaching and learning. The objective is to introduce the concepts of phonons and electrons in a more rigorous and yet clearer way, so that the student does not need to relearn them in more advanced courses. Examples are the transition from lattice vibrations to phonons and from free electrons to energy bands.     The book can be used as the beginning module of a one-year introductory course on solid state physics, and the instructor will have a chance to choose additional topics. Alternatively, it can be taught as a stand-alone text for building the most-needed foundation in just one semester.

書籍目錄

PrefaceCrystal Structure1 Introduction and Summary  1.1 Lattice, Basis, Translation Symmetry, Primitive Lattice Vector, and Primitive Cell  1.2 Rotation Symmetry  1.3 Bravais Lattice  1.4 Honeycomb Structure  1.5 Cubic Crystals    1.5.1  Simple cubic (sc) lattice    1.5.2  Body-centered cubic (bcc) lattice    1.5.3  Face-centered cubic (fcc) lattice  1.6 Close-packed Crystals    1.6.1  Hexagonal close-packed (hcp) structure    1.6.2  Cubic close-packed (fcc) structure  1.7 Diamond Structure  1.8 Wigner-Seitz Cell  1.9 Beyond Single Crystals  Problems2 Reciprocal Lattice and X-ray Diffraction  Introduction and Summary  Reciprocal Lattice  2.1 A Special Set of Wave Vectors in the k Space    2.1.1  Examples  2.2 Lattice Planes, Crystal Directions, and Miller Indices X-ray Diffraction  2.3 Bragg Law  2.4 Electron Density in Crystal Lattice  2.5 Diffraction Beam Intensity  2.6 von Laue's Diffraction Law  2.7 Brillouin Zones  2.8 Effects of Electron Distribution around Atoms in the Unit Cell    2.8.1  Atomic form factor    2.8.2  Structure factor for the bcc lattice    2.8.3  Structure factor for the fcc lattice  Problems3 Lattice Vibrations and Phonons  Introduction and Summary  Lattice Vibration  3.1 Equation of Motion in the One Dimensional Lattice    3.2 Elastic Waves in Continuous Media  3.3 Waves of Lattice Vibration and the Dispersion Relation w(k)  3.4 Force Constants  3.5 Long Wavelength Approximation  3.6 Nearest Neighbor Approximation  3.7 Phase Velocity and Group Velocity  3.8 First Brillouin Zone Phonons  3.9 Difficulties with the Classical Approach  3.10 Two-body Potential  3.11 Hamiltonian of Coupled Harmonic Oscillators  3.12 Periodic Boundary Condition  3.13 Normal Mode Coordinate-Qk and Pk in the k Space……4 Thermal Properties of Insulators5 Free Electron Fermi Gas6 Electron Energy BandsBibliographyIndex

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