Introductory Quantum Mechanics for Applied Nanotechnology
Autor principal: | |
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Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Newark :
John Wiley & Sons, Incorporated,
2015.
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Colección: | New York Academy of Sciences Ser.
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Temas: | |
Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover
- Contents
- Preface
- List of Contributors
- Chapter 1 Review of Classical Theories
- 1.1 Harmonic Oscillator
- 1.2 Boltzmann Distribution Function
- 1.3 Maxwell's Equations and EM Waves
- Problems
- Suggested Readings
- Chapter 2 Milestones Leading to Quantum Mechanics
- 2.1 Blackbody Radiation and Quantum of Energy
- 2.2 Photoelectric Effect and Photon
- 2.3 Compton Scattering
- 2.4 de Broglie Wavelength and Duality of Matter
- 2.5 Hydrogen Atom and Spectroscopy
- Problems
- Suggested Readings
- Chapter 3 Schrödinger Wave Equation
- 3.1 Operator Algebra and Basic Postulates
- 3.2 Eigenequation, Eigenfuntion and Eigenvalue
- 3.3 Properties of Eigenfunctions
- 3.4 Commutation Relation and Conjugate Variables
- 3.5 Uncertainty Relation
- Problems
- Suggested Readings
- Chapter 4 Bound States in Quantum Well and Wire
- 4.1 Electrons in Solids
- 4.2 1D, 2D, and 3D Densities of States
- 4.3 Particle in Quantum Well
- 4.4 Quantum Well and Wire
- Problems
- Suggested Readings
- Chapter 5 Scattering and Tunneling of 1D Particle
- 5.1 Scattering at the Step Potential
- 5.2 Scattering from a Quantum Well
- 5.3 Tunneling
- 5.3.1 Direct and Fowler-Nordheim Tunneling
- 5.3.2 Resonant Tunneling
- 5.4 The Applications of Tunneling
- 5.4.1 Metrology and Display
- 5.4.2 Single-Electron Transistor
- Problems
- Suggested Readings
- Chapter 6 Energy Bands in Solids
- 6.1 Bloch Wavefunction in Kronig-Penney Potential
- 6.2 E-k Dispersion and Energy Bands
- 6.3 The Motion of Electrons in Energy Bands
- 6.4 Energy Bands and Resonant Tunneling
- Problems
- Suggested Readings
- Chapter 7 The Quantum Treatment of Harmonic Oscillator
- 7.1 Energy Eigenfunction and Energy Quantization
- 7.2 The Properties of Eigenfunctions
- 7.3 HO in Linearly Superposed State
- 7.4 The Operator Treatment of HO
- 7.4.1 Creation and Annihilation Operators and Phonons
- Problems
- Suggested Readings
- Chapter 8 Schrödinger Treatment of Hydrogen Atom
- 8.1 Angular Momentum Operators
- 8.2 Spherical Harmonics and Spatial Quantization
- 8.3 The H-Atom and Electron-Proton Interaction
- 8.3.1 Atomic Radius and the Energy Eigenfunction
- 8.3.2 Eigenfunction and Atomic Orbital
- 8.3.3 Doppler Shift
- Problems
- Suggested Readings
- Chapter 9 The Perturbation Theory
- 9.1 Time-Independent Perturbation Theory
- 9.1.1 Stark Effect in H-Atom
- 9.2 Time-Dependent Perturbation Theory
- 9.2.1 Fermi's Golden Rule
- Problems
- Suggested Readings
- Chapter 10 System of Identical Particles and Electron Spin
- 10.1 Electron Spin
- 10.1.1 Pauli Spin Matrices
- 10.2 Two-Electron System
- 10.2.1 Helium Atom
- 10.2.2 Multi-Electron Atoms and Periodic Table
- 10.3 Interaction of Electron Spin with Magnetic Field
- 10.3.1 Spin-Orbit Coupling and Fine Structure
- 10.3.2 Zeeman Effect
- 10.4 Electron Paramagnetic Resonance
- Problems
- Suggested Readings