Engineering Quantum Mechanics

✍ Scribed by Doyeol Ahn, Seoung-Hwan Park

• Publisher: John Wiley & Sons
• Year: 2011
• Tongue: English
• Leaves: 315
• Edition: 1
• Category: Library

✦ Synopsis

There has been growing interest in the model of semiconductor lasers with non-Markovian relaxation. Introducing senior and graduate students and research scientists to quantum mechanics concepts, which are becoming an essential tool in modern engineering, Engineering Quantum Mechanics develops a non-Markovian model for the optical gain of semiconductor, taking into account the rigorous electronic band-structure and the non-Markovian relaxation using the quantum statistical reduced-density operator formalism. Example programs based on Fortran 77 are provided for band-structures of zinc-blende and wurtzite quantum wells.

✦ Table of Contents

Cover......Page 1
Half-title......Page 2
TITLE: ENGINEERING QUANTUM MECHANICS by Doyeol Ahn and Seoung-Hwan Park......Page 3
oBook ISBN: 978-1-118-01782-1 ePDF ISBN: 978-1-118-01780-7
ePub ISBN: 978-1-118-01781-4......Page 4
Contents......Page 6
Preface......Page 8
PART-I: Fundamentals......Page 10
1.1 Measurements and Probability......Page 12
1.2 Dirac Formulation......Page 13
1.3 Brief Detour to Classical Mechanics......Page 17
1.4 A Road to Quantum Mechanics......Page 23
1.5 The Uncertainty Principle......Page 30
1.6 The Harmonic Oscillator......Page 31
1.7 Angular Momentum Eigenstates......Page 38
1.8 Quantization of Electromagnetic Fields......Page 44
1.9 Perturbation Theory......Page 47
Problems......Page 50
References......Page 52
2.1 Elementary Statistical Mechanics......Page 54
2.2 Second Quantization......Page 60
2.3 Density Operators......Page 63
2.4 The Coherent State......Page 67
2.5 The Squeezed State......Page 71
2.6 Coherent Interactions Between Atoms and Fields......Page 77
2.7 The Jaynes?Cummings Model......Page 78
Problems......Page 80
References......Page 81
3.1 Bloch Theorem and Effective Mass Theory......Page 82
3.2 The Luttinger?Kohn Hamiltonian......Page 93
3.3 The Zinc Blende Hamiltonian......Page 114
3.4 The Wurtzite Hamiltonian......Page 123
3.5 Band Structure of Zinc Blende and Wurtzite Semiconductors......Page 132
3.6 Crystal Orientation Effects on a Zinc Blende Hamiltonian......Page 144
3.7 Crystal Orientation Effects on a Wurtzite Hamiltonian......Page 161
Problems......Page 177
References......Page 178
PART-II: Modern Applications......Page 180
4.1 Quantum Bits and Tensor Products......Page 182
4.2 Quantum Entanglement......Page 184
4.3 Quantum Teleportation......Page 187
4.4 Evolution of the Quantum State: Quantum Information Processing......Page 189
4.5 A Measure of Information......Page 192
4.6 Quantum Black Holes......Page 193
Appendix A: Derivation of Equation (4.82)......Page 211
Appendix B: Derivation of Equations (4.93) and (4.106)......Page 212
Problems......Page 213
References......Page 214
5. Modern Semiconductor Laser Theory......Page 216
5.1 Density Operator Description of Optical Interactions......Page 218
5.2 The Time-Convolutionless Equation......Page 220
5.3 The Theory of Non-Markovian Optical Gain in Semiconductor Lasers......Page 232
5.4 Optical Gain of a Quantum Well Laser with Non-Markovian Relaxation and Many-Body Effects......Page 241
5.5 Numerical Methods for Valence Band Structure in Nanostructures......Page 244
5.6 Zinc Blende Bulk and Quantum Well Structures......Page 261
5.7 Wurtzite Bulk and Quantum Well Structures......Page 267
5.8 Quantum Wires and Quantum Dots......Page 274
Appendix: Fortran 77 Code for the Band Structure......Page 283
Problems......Page 295
References......Page 296
Index......Page 298