图书简介

Chapter 1. Introduction to Applied Quantum Mechanics - Why quantum behavior is impacting technology.; Chapter 2. Nano Mechanical Oscillator and Basic Dynamics: Part I; 2.1 Introduction; 2.2 The Classical Approach: Finding; 2.3 The Quantum Approach: Finding; 2.4 Is it Classical or Quantum?; 2.5 What is Knowable in a Quantum System?; 2.6 Coherent Superposition States and Coherent Dynamics; 2.7 The Particle and the Wave; 2.8 Summary; Chapter 3. Free Particle, Wave Packet and Dynamics, Quantum Dots and Defects/Traps Scattering and Transport.; 3.1 Introduction; 3.2 The Free Particle; 3.3 Localized State in Free Space: The Wave Packet; 3.4 Nano-Heterostructures: Quantum Dots and Deep Traps; 3.5 A Particle Trapped in a Shallow Defect; 3.6 A Particle Trapped in a Point Defect Represented by a Dirac Delta-Function Potential; 3.7 Physical Interpretation of the Dirac -function potential; 3.8 Summary; Chapter 4. Periodic Hamiltonians and the Emergence of Band Structure: The Bloch Theorem and the Dirac Kronig-Penney model.; 4.1 Introduction; 4.2 The Translation Operator; 4.3 Crystals and Periodic Potentials: The Bloch Theorem and the Dirac Kronig-Penney Model; 4.4 Summary; Chapter 5. Scattering, Quantum Current, and Resonant Tunneling; 5.1 Introduction; 5.2 Scattering; 5.3 Tunneling Through a Repulsive Point Defect Represented by a Dirac -Function Potential; 5.4 Resonant Tunneling; 5.5 Summary; Chapter 6. Bound States in 3-dimensions: The Atom.; 6.1 Introduction; 6.2 The Hydrogenic Atom; 6.3 Summary; Chapter 7. The New Design Rules for Quantum: The Postulates.; 7.1 Introduction; 7.2 The Postulates of Quantum Mechanics; 7.3 The Heisenberg Uncertainty Principle: The Minimum Uncertainty State; 7.4 Interpreting the Expansion Coefficients: Relating Functional Form to Dirac Form; 7.5 Summary; Chapter 8. Heisenberg Matrix Approach: Nano-Mechanical Oscillator and the Quantum LC Circuit.; 8.1 Introduction; 8.2 Heisenberg or Matrix Approach to Solving the Time Independent Schrodinger Equation; 8.3 Matrix Representation of Operators and Eigenvectors in Quantum Mechanics; 8.4 The Quantum LC Circuit; 8.5 Summary; Chapter 9. Quantum Dynamics: Rabi Oscillations and Quantum Flip-Flops.; 9.1 Introduction; 9.2 Time Evolution Operator; 9.3 The Heisenberg Picture of Dynamics; 9.4 The Interaction Picture; 9.5 A Quantum Flip-Flop: Coherent Control of a Two-Level System and Rabi Oscillations; 9.6 Summary; Chapter 10. The Quantum Gyroscope: The Emergence of Spin.; 10.1 Introduction; 10.2 Angular Momentum with the Heisenberg Approach; 10.3 Intrinsic Angular Momentum: Spin; 10.4 The Bloch Sphere and Spin; 10.5 Addition of Angular Momentum; 10.6 Angular Momentum and the Rotation Operator; 10.7 Summary; Chapter 11. Time Independent and Time Dependent Perturbation Theory.; 11.1 Introduction; 11.2 Time Independent Perturbation Theory.; 11.3 Time Dependent Perturbation Theory: Fermi’s Golden Rule; 11.4 Summary; Chapter 12. Bosons and Fermions: Indistinguishable particles with intrinsic spin.; 12.1 Introduction; 12.2 Eigenfunctions and Eigenvalues of the Exchange Operator; 12.3 The Exchange Symmetry Postulate: Bosons and Fermions; 12.4 The Heitler-London Model; 12.5 Summary; Chapter 13. Quantum Measurement and Entanglement: Wave-Function Collapse; 13.1 Introduction; 13.2 Quantum Measurement; 13.3 Quantum Entanglement and the Impact of Measurement; 13.4 Quantum Teleportation; 13.5 Summary; Chapter 14. Loss and Decoherence: The RLC Circuit; 14.1 Introduction; 14.2 Coupling to a Continuum of States: The Weisskopf-Wigner Approximation; 14.3 Decay in the Nano-Vibrator Problem; 14.4 The RLC Circuit; 14.5 Summary; Chapter 15. The Quantum Radiation Field: Spontaneous Emission and Entangled Photons; 15.1 Introduction; 15.2 Finding the Hamiltonian for the Transverse Electromagnetic Field; 15.3 Quantizing the Field; 15.4 Spontaneous Emission; 15.5 The Effects of the Quantum Vacuum on Linear Absorption and Dispersion; 15.6 Rabi Oscillations in the Vacuum: The Jaynes Cummings Hamiltonian; 15.7 Summary; Chapter 16. Atomic Operators; 16.1 Introduction; 16.2 Defining the Atomic Operators; 16.3 The Physical Meaning of the Atomic Operators; 16.4 The Atomic Operators in the Heisenberg Picture; 16.5 The Exact Solution for the Atomic Operators for a Monochromatic Field; 16.6 The Operator Equations of Motion Including Spontaneous Emission; Chapter 17. Quantum Electromagneticst; 17.1 Introduction; 17.2 The Number State Representation; 17.3 The Coherent State; 17.4 Quantum Beam Splitter: Quantum Interference; 17.5 Resonant Rayleigh Scattering: A Single Quantum Emitter; 17.6 Creating a Quantum Entangled State Between a Photon and an Electron; 17.7 Engineering the Quantum Vacuum; 17.8 Summary; Chapter 18. The Density Matrix: Bloch Equations; 18.1 Introduction; 18.2 The Density Matrix Operator; 18.3 The Density Matrix Equations Including Relaxation; 18.4 Solving the Reduced Density Matrix for a Two-Level System in the Presence of Resonant Classical Electromagnetic Field; 18.5 Rate Equation Approximation; 18.6 The Three-Level System: Emerging Importance in Quantum Technology; 18.7 Summary; Appendices; A Essential Mathematics Review; B Power Series for important Functions; C Properties and Representations for the Dirac Delta Function; D Vector Calculus and Vector IdentifiesThe Electromagnetic Hamiltonian and the Gopert-Mayer Transformation; E The Electromagnetic Hamiltonian and the Gopert-Mayer Transformation; F Maxwell’s Equations in Media, the Wave Equation and Coupling to a two-level system; G Wigner-Eckart Theorem for evaluating matrix elements.

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