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Introductory Quantum Mechanics for Applied Nanotechnology.

By: Material type: TextTextSeries: New York Academy of Sciences SeriesPublisher: Newark : John Wiley & Sons, Incorporated, 2015Copyright date: ©2015Edition: 1st edDescription: 1 online resource (392 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783527677184
Subject(s): Genre/Form: Additional physical formats: Print version:: Introductory Quantum Mechanics for Applied NanotechnologyLOC classification:
  • QC174.12 .M36 2015
Online resources:
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 -- Chapter 11 Molecules and Chemical Bonds -- 11.1 Ionized Hydrogen Molecule -- 11.2 H2 Molecule and Heitler-London Theory -- 11.3 Ionic Bond -- 11.4 van der Waals Attraction -- 11.5 Polyatomic Molecules and Hybridized Orbitals -- Problems -- Suggested Readings -- Chapter 12 Molecular Spectra -- 12.1 Theoretical Background -- 12.2 Rotational and Vibrational Spectra of Diatomic Molecule -- 12.3 Nuclear Spin and Hyperfine Interaction -- 12.4 Nuclear Magnetic Resonance (NMR) -- 12.4.1 Molecular Imaging -- Problems -- Suggested Readings -- Chapter 13 Atom-Field Interaction -- 13.1 Atom-Field Interaction: Semiclassical Treatment -- 13.2 Driven Two-Level Atom and Atom Dipole -- 13.3 Atom-Field Interaction: Quantum Treatment -- 13.3.1 Field Quantization -- Problems -- Suggested Readings.
Chapter 14 The Interaction of EM Waves with an Optical Media -- 14.1 Attenuation, Amplification, and Dispersion of Waves -- 14.2 Atomic Susceptibility -- 14.3 Laser Device -- 14.3.1 Population Inversion -- Problems -- Suggested Readings -- Chapter 15 Semiconductor Statistics -- 15.1 Quantum Statistics -- 15.1.1 Bosons and Fermions -- 15.2 Carrier Concentration in Intrinsic Semiconductor -- 15.3 Carrier Densities in Extrinsic Semiconductors -- 15.3.1 Fermi Level in Extrinsic Semiconductors -- Problems -- Suggested Readings -- Chapter 16 Carrier Transport in Semiconductors -- 16.1 Quantum Description of Transport Coefficients -- 16.1.1 Mobility -- 16.1.2 Diffusion Coefficient -- 16.2 Equilibrium and Nonequilibrium -- 16.2.1 Nonequilibrium and Quasi-Fermi Level -- 16.3 Generation and Recombination Currents -- 16.3.1 Trap-Assisted Recombination and Generation -- Problems -- Suggested Readings -- Chapter 17 P-N Junction Diode: I-V Behavior and Device Physics -- 17.1 The p-n Junction in Equilibrium -- 17.2 The p-n Junction under Bias -- 17.3 Ideal Diode I-V Behavior -- 17.4 Nonideal I-V Behavior -- Problems -- Suggested Readings -- Chapter 18 P-N Junction Diode: Applications -- 18.1 Optical Absorption -- 18.2 Photodiode -- 18.3 Solar Cell -- 18.4 LED and LD -- Problems -- Suggested Readings -- Chapter 19 Field-Effect Transistors -- 19.1 The Modeling of MOSFET I-V -- 19.1.1 Channel Inversion in NMOS -- 19.1.2 Threshold Voltage and ON Current -- 19.1.3 Subthreshold Current ISUB -- 19.2 Silicon Nanowire Field-Effect Transistor -- 19.2.1 Short-Channel I-V Behavior in NWFET -- 19.2.2 Ballistic NWFET -- 19.3 Tunneling NWFET as Low-Power Device -- Problems -- Suggested Readings -- Chapter 20 The Application and Novel Kinds of FETs -- 20.1 Nonvolatile Flash EEPROM Cell -- 20.2 Semiconductor Solar Cells -- 20.3 Biosensor -- 20.4 Spin Field-Effect Transistor.
20.5 Spin Qubits and Quantum Computing -- Problems -- Suggested Readings -- Solutions -- Index -- Important Physical Numbers and Quantities -- EULA.
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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 -- Chapter 11 Molecules and Chemical Bonds -- 11.1 Ionized Hydrogen Molecule -- 11.2 H2 Molecule and Heitler-London Theory -- 11.3 Ionic Bond -- 11.4 van der Waals Attraction -- 11.5 Polyatomic Molecules and Hybridized Orbitals -- Problems -- Suggested Readings -- Chapter 12 Molecular Spectra -- 12.1 Theoretical Background -- 12.2 Rotational and Vibrational Spectra of Diatomic Molecule -- 12.3 Nuclear Spin and Hyperfine Interaction -- 12.4 Nuclear Magnetic Resonance (NMR) -- 12.4.1 Molecular Imaging -- Problems -- Suggested Readings -- Chapter 13 Atom-Field Interaction -- 13.1 Atom-Field Interaction: Semiclassical Treatment -- 13.2 Driven Two-Level Atom and Atom Dipole -- 13.3 Atom-Field Interaction: Quantum Treatment -- 13.3.1 Field Quantization -- Problems -- Suggested Readings.

Chapter 14 The Interaction of EM Waves with an Optical Media -- 14.1 Attenuation, Amplification, and Dispersion of Waves -- 14.2 Atomic Susceptibility -- 14.3 Laser Device -- 14.3.1 Population Inversion -- Problems -- Suggested Readings -- Chapter 15 Semiconductor Statistics -- 15.1 Quantum Statistics -- 15.1.1 Bosons and Fermions -- 15.2 Carrier Concentration in Intrinsic Semiconductor -- 15.3 Carrier Densities in Extrinsic Semiconductors -- 15.3.1 Fermi Level in Extrinsic Semiconductors -- Problems -- Suggested Readings -- Chapter 16 Carrier Transport in Semiconductors -- 16.1 Quantum Description of Transport Coefficients -- 16.1.1 Mobility -- 16.1.2 Diffusion Coefficient -- 16.2 Equilibrium and Nonequilibrium -- 16.2.1 Nonequilibrium and Quasi-Fermi Level -- 16.3 Generation and Recombination Currents -- 16.3.1 Trap-Assisted Recombination and Generation -- Problems -- Suggested Readings -- Chapter 17 P-N Junction Diode: I-V Behavior and Device Physics -- 17.1 The p-n Junction in Equilibrium -- 17.2 The p-n Junction under Bias -- 17.3 Ideal Diode I-V Behavior -- 17.4 Nonideal I-V Behavior -- Problems -- Suggested Readings -- Chapter 18 P-N Junction Diode: Applications -- 18.1 Optical Absorption -- 18.2 Photodiode -- 18.3 Solar Cell -- 18.4 LED and LD -- Problems -- Suggested Readings -- Chapter 19 Field-Effect Transistors -- 19.1 The Modeling of MOSFET I-V -- 19.1.1 Channel Inversion in NMOS -- 19.1.2 Threshold Voltage and ON Current -- 19.1.3 Subthreshold Current ISUB -- 19.2 Silicon Nanowire Field-Effect Transistor -- 19.2.1 Short-Channel I-V Behavior in NWFET -- 19.2.2 Ballistic NWFET -- 19.3 Tunneling NWFET as Low-Power Device -- Problems -- Suggested Readings -- Chapter 20 The Application and Novel Kinds of FETs -- 20.1 Nonvolatile Flash EEPROM Cell -- 20.2 Semiconductor Solar Cells -- 20.3 Biosensor -- 20.4 Spin Field-Effect Transistor.

20.5 Spin Qubits and Quantum Computing -- Problems -- Suggested Readings -- Solutions -- Index -- Important Physical Numbers and Quantities -- EULA.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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