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Engineering Quantum Mechanics

Book Description

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

  1. Cover
  2. Title page
  3. Copyright page
  4. Preface
  5. PART I: Fundamentals
    1. 1 Basic Quantum Mechanics
      1. 1.1 MEASUREMENTS AND PROBABILITY
      2. 1.2 DIRAC FORMULATION
      3. 1.3 BRIEF DETOUR TO CLASSICAL MECHANICS
      4. 1.4 A ROAD TO QUANTUM MECHANICS
      5. 1.5 THE UNCERTAINTY PRINCIPLE
      6. 1.6 THE HARMONIC OSCILLATOR
      7. 1.7 ANGULAR MOMENTUM EIGENSTATES
      8. 1.8 QUANTIZATION OF ELECTROMAGNETIC FIELDS
      9. 1.9 PERTURBATION THEORY
    2. 2 Basic Quantum Statistical Mechanics
      1. 2.1 ELEMENTARY STATISTICAL MECHANICS
      2. 2.2 SECOND QUANTIZATION
      3. 2.3 DENSITY OPERATORS
      4. 2.4 THE COHERENT STATE
      5. 2.5 THE SQUEEZED STATE
      6. 2.6 COHERENT INTERACTIONS BETWEEN ATOMS AND FIELDS
      7. 2.7 THE JAYNES–CUMMINGS MODEL
    3. 3 Elementary Theory of Electronic Band Structure in Semiconductors
      1. 3.1 BLOCH THEOREM AND EFFECTIVE MASS THEORY
      2. 3.2 THE LUTTINGER–KOHN HAMILTONIAN
      3. 3.3 THE ZINC BLENDE HAMILTONIAN
      4. 3.4 THE WURTZITE HAMILTONIAN
      5. 3.5 BAND STRUCTURE OF ZINC BLENDE AND WURTZITE SEMICONDUCTORS
      6. 3.6 CRYSTAL ORIENTATION EFFECTS ON A ZINC BLENDE HAMILTONIAN
      7. 3.7 CRYSTAL ORIENTATION EFFECTS ON A WURTZITE HAMILTONIAN
  6. PART II: Modern Applications
    1. 4 Quantum Information Science
      1. 4.1 QUANTUM BITS AND TENSOR PRODUCTS
      2. 4.2 QUANTUM ENTANGLEMENT
      3. 4.3 QUANTUM TELEPORTATION
      4. 4.4 EVOLUTION OF THE QUANTUM STATE: QUANTUM INFORMATION PROCESSING
      5. 4.5 A MEASURE OF INFORMATION
      6. 4.6 QUANTUM BLACK HOLES
      7. APPENDIX A: DERIVATION OF EQUATION (4.82)
      8. APPENDIX B: DERIVATION OF EQUATIONS (4.93) AND (4.106)
    2. 5 Modern Semiconductor Laser Theory
      1. 5.1 DENSITY OPERATOR DESCRIPTION OF OPTICAL INTERACTIONS
      2. 5.2 THE TIME-CONVOLUTIONLESS EQUATION
      3. 5.3 THE THEORY OF NON-MARKOVIAN OPTICAL GAIN IN SEMICONDUCTOR LASERS
      4. 5.4 OPTICAL GAIN OF A QUANTUM WELL LASER WITH NON-MARKOVIAN RELAXATION AND MANY-BODY EFFECTS
      5. 5.5 NUMERICAL METHODS FOR VALENCE BAND STRUCTURE IN NANOSTRUCTURES
      6. 5.6 ZINC BLENDE BULK AND QUANTUM WELL STRUCTURES
      7. 5.7 WURTZITE BULK AND QUANTUM WELL STRUCTURES
      8. 5.8 QUANTUM WIRES AND QUANTUM DOTS
      9. APPENDIX: FORTRAN 77 CODE FOR THE BAND STRUCTURE
  7. Index