مکانیک کوانتومی برای فیزیک کاربردی و مهندسی

Quantum Mechanics for Applied Physics and Engineering is devoted to the use of quantum mechanics in applied physics and engineering. Topics covered include elementary quantum theory, quantum statistics and many-particle systems, and energy bands in crystals. Approximation techniques for the Schrödinger equation are also described. Comprised of seven chapters, this book opens with an overview of basic quantum mechanics and includes a discussion on wave-particle duality, probability current density, and periodic boundary conditions. Quantum statistics is then considered as a prelude to the free-electron theory of metals, along with the use of perturbation theory to evaluate modifications in free-electron theory. The following chapters explore the use of WKB approximation to deduce the transmission coefficient for electron tunneling in solids; the theory of electronic energy bands; and the application of the Schrödinger equation to the problem of the periodic potential of a crystalline solid. Examples from solid-state physics are employed to illustrate specific applications and to demonstrate the principal results that can be deduced by means of quantum theory. This monograph is written primarily for engineers and applied physicists. Content: FRONT MATTER , Page iii COPYRIGHT , Page iv DEDICATION , Page v PREFACE , Pages xi-xiv ACKNOWLEDGMENTS , Pages xv-xvi CHAPTER 1 - AN INTRODUCTION TO QUANTUM MECHANICS , Pages 1-145 CHAPTER 2 - MANY-PARTICLE SYSTEMS AND QUANTUM STATISTICS , Pages 146-187 CHAPTER 3 - FREE-ELECTRON MODEL AND THE BOLTZMANN EQUATION , Pages 188-236 CHAPTER 4 - THE WKB APPROXIMATION AND ELECTRON TUNNELING , Pages 237-278 CHAPTER 5 - PERTURBATION THEORY, DIFFRACTION OF VALENCE ELECTRONS, AND THE NEARLY-FREE-ELECTRON MODEL , Pages 279-333 CHAPTER 6 - THE PERIODICITY OF CRYSTALLINE SOLIDS , Pages 334-356 CHAPTER 7 - BLOCH'S THEOREM AND ENERGY BANDS FOR A PERIODIC POTENTIAL , Pages 357-412 APPENDIX - PHYSICAL CONSTANTS: SYMBOLS, UNITS, AND VALUES , Page 413 REFERENCES , Pages 414-415 INDEX , Pages 417-430