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Book Siegmann, A. This book contains the following chapters: 1. An Introduction to Lasers; 2. Electric Dipole Transitions in Real Atoms; 4. Atomic Rate Equations; 5. Laser Pumping and Population Inversion; 7. Laser Amplification; 8. More on Laser Amplification; 9. Linear Optical Pulse Propagation; Nonlinear Optical Pulse Propagation; Laser Mirrors, Cavities and Regenerative Feedback; Fundamentals of Laser Oscillation; More on Laser Oscillation; Optical Beams and Resonators: An Introduction; Ray Optics and Ray Matrices; Wave Optics and Gaussian Beams; Beam Perturbation and Diffraction Effects; Stable Two-Mirror Gaussian Resonators; Complex Paraxial Wave Optics; Generalized Paraxial Resonator Theory; Unstable Optical Resonators; More on Unstable Resonators; Laser Spiking, Modulation, and Mode Competition; Laser Q-Switching; Passive Locking; Laser Interjection Locking; Hole Burning and Saturation Spectroscopy; Chapters are devoted to fundamental principles, assumptions, theorems, and polytropes; energy sources and sinks; the flow of energy through the star and the construction of stellar models; the theory of stellar evolution; relativistic stellar structure; the structure of distorted stars; stellar pulsation and oscillation.

Diagrams, graphs, and sample problems are provided. The properties and applications of composite materials are examined in an introductory textbook for senior and graduate engineering students.

Chapters are devoted to glass, B, C, organic, ceramic, and metallic fibers; polymer, ceramic, and metallic matrix materials; polymer-matrix composites; MMCs; ceramic-matrix composites; CFRPs; and multifilament superconducting composites. Consideration is given to the micromechanics of composites, macromechanical characteristics, strength, fracture, fatigue, and design problems.

Diagrams, graphs, photographs, and tables of numerical data are included, and a set of problems is given for each chapter. The volume draws its material from the graduate course in condensed matter physics that has been offered by the authors for several decades at the University of California, Berkeley.

Cohen and Louie have done an admirable job of guiding the reader gradually from elementary concepts to advanced topics. The book is divided into four main parts that have four chapters each.

Chapter 2 deals with the properties of electrons in crystalline materials. The authors introduce the Born-Oppenheimer approximation and then proceed to the periodic potential approximation. Chapter 3 discusses energy bands in materials and covers concepts from the free electron model to the tight binding model and periodic boundary conditions.

Chapter 4 starts with fixed atomic cores and introduces lattice vibrations, phonons, and the concept of density of states. By the end of this part, the student should have a basic understanding of electrons and phonons in materials. Part II presents electron dynamics and the response of materials to external probes. Chapter 5 covers the effective Hamiltonian approximation and the motion of the electron under a perturbation, such as an external field.

The discussion moves to many-electron interactions and the exchange-correlation energy in Chapter 6, the widely-used Density Functional Theory DFT in chapter 7, and the dielectric response function in Chapter 8. The next two parts of the book cover advanced topics. Part III begins with a discussion of the response of materials to photons in Chapter 9.

Chapter 10 goes into the details of electron-phonon interactions in different materials and introduces the polaron. Chapter 11 presents electron dynamics in a magnetic field and Chapter 12 discusses electrical and thermal transport in materials. Part IV takes the reader further into many body effects, superconductivity, and nanoscale materials. The authors introduce Feynman diagrams and many-body perturbation theory in Chapter 13, theories of superconductivity in Chapter 14, magnetism in Chapter 15, and low dimensional systems in Chapter The first two parts are required reading for the beginner planning to perform DFT calculations.

The advanced student interested in conducting research in condensed matter physics will benefit from continuing on to the last two parts. There is a set of problems at the end of each part. The narrative is aided by equations and detailed figures. References at the end of the book direct the reader to relevant books and review articles for each chapter.

The inside covers include a periodic table and a useful list of fundamental physical constants. The authors present the underlying mathematics elegantly, which makes the textbook quite readable for those with a good mathematical background. Students lacking a firm footing in math will find the terrain rough after Chapter 1. This field has seen many good undergraduate textbooks including those by Kittel and by Ashcroft and Mermin.

This volume fills the need for a rigorous graduate level textbook, and is a required addition to the bookshelf of every condensed matter physicist. Cohen and Louie have brought refreshing clarity to a challenging subject and made it eminently accessible to the motivated student.

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