Quantum Mechanics for Scientists and Engineers

David A. B. Miller

• Publisher: Cambridge University Press
• Year: 2008
• Print ISBN:
  9780521897839
• eBook ISBN:
  9780511577222
• Topic: Technology & Engineering
• Subtopic: Electrical Engineering & Telecommunications
• Index: Technology & Engineering

If you need a book that relates the core principles of quantum mechanics to modern applications in engineering, physics, and nanotechnology, this is it. Students will appreciate the book's applied emphasis, which illustrates theoretical concepts with examples of nanostructured materials, optics, and semiconductor devices. The many worked examples and more than 160 homework problems help students to problem solve and to practise applications of theory. Without assuming a prior knowledge of high-level physics or classical mechanics, the text introduces Schrödinger's equation, operators, and approximation methods. Systems, including the hydrogen atom and crystalline materials, are analyzed in detail. More advanced subjects, such as density matrices, quantum optics, and quantum information, are also covered. Practical applications and algorithms for the computational analysis of simple structures make this an ideal introduction to quantum mechanics for students of engineering, physics, nanotechnology, and other disciplines. Additional resources available from www.cambridge.org/9780521897839.

Table of contents

• Cover
• Half-title
• Title
• Copyright
• Dedication
• Contents
• Preface
• How to use this book
• Chapter 1 Introduction
• Chapter 2 Waves and quantum mechanics – Schrödinger’s equation
• Chapter 3 The time-dependent Schrödinger equation
• Chapter 4 Functions and operators
• Chapter 5 Operators and quantum mechanics
• Chapter 6 Approximation methods in quantum mechanics
• Chapter 7 Time-dependent perturbation theory
• Chapter 8 Quantum mechanics in crystalline materials
• Chapter 9 Angular momentum
• Chapter 10 The hydrogen atom
• Chapter 11 Methods for one-dimensional problems
• Chapter 12 Spin
• Chapter 13 Identical particles
• Chapter 14 The density matrix
• Chapter 15 Harmonic oscillators and photons
• Chapter 16 Fermion operators
• Chapter 17 Interaction of different kinds of particles
• Chapter 18 Quantum information
• Chapter 19 Interpretation of quantum mechanics
• Appendix A Background mathematics
• Appendix B Background physics
• Appendix C Vector calculus
• Appendix D Maxwell’s equations and electromagnetism
• Appendix E Perturbing Hamiltonian for optical absorption
• Appendix F Early history of quantum mechanics
• Appendix G Some useful mathematical formulae
• Appendix H Greek alphabet
• Appendix I Fundamental constants
• Bibliography
• Memorization list
• Index