Introductory Quantum Mechanics for Applied Nanotechnology

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Bibliographic Details
Main Author: Kim, Dae Mann
Format: eBook
Language:English
Published: Newark : John Wiley & Sons, Incorporated, 2015.
Series:New York Academy of Sciences Ser.
Subjects:
Online Access:Click for online access
Table of Contents:
  • 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