Engineering Quantum Mechanics (Wiley - IEEE)

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. 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 A Clear Introduction To Quantum Mechanics Conceptsquantum 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. Fundamentals. Basic Quantum Mechanics -- Basic Quantum Statistical Mechanics -- Elementary Theory Of Electronic Band Structure In Semiconductors -- Modern Applications. Quantum Information Science -- Modern Semiconductor Laser Theory -- Index. Doyeol Ahn, Seoung-hwan Park. Description Based Upon Print Version Of Record. Includes Bibliographical References And Index. Also Available In Print. Mode Of Access: World Wide Web English 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 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. * There has been growing interest in the model of semiconductor lasers with non-Markovian relaxation partially due to the dissatisfaction with the conventional model * Example programs based on Fortran 77 will also be provided for band-structures of zinc-blende and wurtzite quantum wells.