Ahn D., Park S.-H. Engineering Quantum Mechanics

Wiley-IEEE Press, 2011. — 306 p. — ISBN 0470107634.A clear introduction to quantum mechanics concepts Quantum mechanics has become an essential tool for modern engineering, particularly due to the recent developments in quantum computing as well as the rapid progress in optoelectronic devices. Engineering Quantum Mechanics explains the fundamentals of this exciting field, providing broad coverage of both traditional areas such as semiconductor and laser physics as well as relatively new yet fast-growing areas such as quantum computation and quantum information technology.The book begins with basic quantum mechanics, reviewing measurements and probability, Dirac formulation, the uncertainty principle, harmonic oscillator, angular momentum eigenstates, and perturbation theory. Then, quantum statistical mechanics is explored, from second quantization and density operators to coherent and squeezed states, coherent interactions between atoms and fields, and the Jaynes-Cummings model. From there, the book moves into elementary and modern applications, discussing such topics as Bloch theorem and effective mass theory, crystal orientation effects for zinc-blend and wurtzite Hamiltonian, and quantum entanglements and teleportation.There has been growing interest in the model of semiconductor lasers with non-Markovian relaxation. This book develops a non-Markovian model for the optical gain in semiconductor materials, taking into account the rigorous electronic band-structure and the non-Markovian relaxation using the quantum statistical reduced-density operator formalism. Many-body effects are taken into account within the time-dependent Hartree-Fock equations, and example programs based on Fortran 77 are provided for band-structures of zinc-blend quantum wells.Engineering Quantum Mechanics is intended for advanced undergraduate and graduate students in electrical engineering, physics, and materials science. It also provides the necessary theoretical background for researchers in optoelectronics or semiconductor devices.Preface vii
Fundamentals
Basic Quantum Mechanics
Measurements and Probability
Dirac Formulation
Brief Detour to Classical Mechanics
A Road to Quantum Mechanics
The Uncertainty Principle
The Harmonic Oscillator
Angular Momentum Eigenstates
Quantization of Electromagnetic Fields
Perturbation Theory
ProblemsBasic Quantum Statistical Mechanics
Elementary Statistical Mechanics
Second Quantization
Density Operators
The Coherent State
The Squeezed State
Coherent Interactions Between Atoms and Fields
The Jaynes–Cummings Model
ProblemsElementary Theory of Electronic Band Structure in Semiconductors
Bloch Theorem and Effective Mass Theory
The Luttinger–Kohn Hamiltonian
The Zinc Blende Hamiltonian
The Wurtzite Hamiltonian
Band Structure of Zinc Blende and Wurtzite Semiconductors
Crystal Orientation Effects on a Zinc Blende Hamiltonian
Crystal Orientation Effects on a Wurtzite Hamiltonian
ProblemsModern Applications
Quantum Information Science
Quantum Bits and Tensor Products
Quantum Entanglement
Quantum Teleportation
Evolution of the Quantum State: Quantum Information Processing
A Measure of Information
Quantum Black Holes
Appendix A, B: Derivation of Equations
ProblemsModern Semiconductor Laser Theory
Density Operator Description of Optical Interactions
The Time-Convolutionless Equation
The Theory of Non-Markovian Optical Gain in Semiconductor Lasers
Optical Gain of a Quantum Well Laser with Non-Markovian Relaxation and Many-Body Effects
Numerical Methods for Valence Band Structure in Nanostructures
Zinc Blende Bulk and Quantum Well Structures
Wurtzite Bulk and Quantum Well Structures
Quantum Wires and Quantum Dots
Appendix: Fortran 77 Code for the Band Structure
Problems