This is an introductory textbook tailored for a one semester course on quantum mechanics at a technically oriented school. It covers fundamental quantum mechanics from an application’s perspective, considering optoelectronic devices, biological sensors and molecular imagers as well as solar cells and field effect transistors.

The book provides a brief review of classical and statistical mechanics and electromagnetism, and then turns to the quantum treatment of atoms, molecules, and chemical bonds.

Aiming at senior undergraduate and graduate students in nanotechnology related areas like physics, materials science, and engineering, the book could be used at schools that offer interdisciplinary but focused training for future workers in the semiconductor industry and for the increasing number of related nanotechnology firms, and even practicing people could use it when they need to learn related concepts.

The author is Professor Dae Mann Kim from the Korea Institute for Advanced Study who has been teaching Quantum Mechanics to engineering, material science and physics students for over 25 years in USA and Asia.

The book provides a brief review of classical and statistical mechanics and electromagnetism, and then turns to the quantum treatment of atoms, molecules, and chemical bonds.

Aiming at senior undergraduate and graduate students in nanotechnology related areas like physics, materials science, and engineering, the book could be used at schools that offer interdisciplinary but focused training for future workers in the semiconductor industry and for the increasing number of related nanotechnology firms, and even practicing people could use it when they need to learn related concepts.

The author is Professor Dae Mann Kim from the Korea Institute for Advanced Study who has been teaching Quantum Mechanics to engineering, material science and physics students for over 25 years in USA and Asia.

1.1 Harmonic Oscillator

1.2 Boltzmann Distribution Function

1.3 Maxwell’s Equations

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

3 Schrödinger Wave Equation

3.1 Operator Algebra and Basic Postulates

3.2 Eigenequation and Eigenvalues

3.3 Properties of Eingenfunctions

3.4 Commutation Relation

3.5 Uncertainty Relation

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, Wire and Dot

5 Scattering and Tunneling of 1D Particle

5.1 Scattering at the Step Potential

5.2 Scattering from a Quantum Well

5.3 Tunneling

5.4 The Applications of Tunneling

6 Energy Bands in Solids

6.1 Bloch Wavefunction in Kronig-Penny 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

7 The Quantum Treatment of Harmonic Oscillator

7.1 Energy Eigenfunction

7.2 The Properties of Eigenfunctions

7.3 HO in Linearly Superposed State

7.4 The Operator Treatment of HO

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

9 The Perturbation Theory

9.1 Time-Independent Perturbation Theory

9.2 Time-Dependent Perturbation Theory

9.3.1Harmonic Perturbation and Fermi’s Golden Rule

10 System of Identical Particles and Electron Spin

10.1 Electron Spin

10.3 Interaction of Electron Spin with Magnetic Field.

10.4 Electron Paramagnetic Resonance

11.1 Ionized Hydrogen Molecule

11.2 H2 Molecule

11.3 Ionic Bond and Van der Waals Attraction

11.4 Van der Waals Attraction

11.5 Polyatomic Molecules and Hybridized Orbitals

12 Molecular Spectra

12.1 Theoretical Background

12.2 Rotational and Vibrational Spectra of Diatomic Molecule

12.3 Nuclear Spin and Hyperfine Intreraction

12.4 Nuclear Magnetic Resonance (NMR)

13 Atom-Field Interaction

13.1 Atom-Field Interaction: Semi-Classical Treatment

13.2 Driven Two Level Atom

13.3 Atom-Field Interaction: Quantum Treatment

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

15 Semiconductor Statistics

15.1 Quantum Statistics

15.2 Carrier Concentration in Intrinsic Semiconductor

15.3 Carrier Densities in Extrinsic Semiconductors

16 Carrier Transport in Semiconductors

16.1 Quantum Description of Transport Coefficients

16.2 Equilibrium and Non-Equilibrium

16.3 Generation and Recombination Currents

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 Non-Ideal I-V Behavior

18 P-N Junction Diode: Applications

18.1 Optical Absorption

18.2 Photodiode

18.3 Solar Cell

18.4 LED and LD

19 Field Effect Transistors

19.1 The Modeling of MOSFET I-V

19.2 Silicon Nanowire Field Effect Transistor

9.3 Tunneling NWFET as Low Power Device

20 The Application and Novel Kinds of FETs

20.1 Non-Volatile flash EEPROM Cell

20.2 Semiconductor Solar Cells

20.3 Biosensor

20.4 Spin Field Effect Transistor

20.5 Spin Qubits and Quantum Computing

### Table of Content

1 Review of Classical Theories1.1 Harmonic Oscillator

1.2 Boltzmann Distribution Function

1.3 Maxwell’s Equations

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

3 Schrödinger Wave Equation

3.1 Operator Algebra and Basic Postulates

3.2 Eigenequation and Eigenvalues

3.3 Properties of Eingenfunctions

3.4 Commutation Relation

3.5 Uncertainty Relation

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, Wire and Dot

5 Scattering and Tunneling of 1D Particle

5.1 Scattering at the Step Potential

5.2 Scattering from a Quantum Well

5.3 Tunneling

5.4 The Applications of Tunneling

6 Energy Bands in Solids

6.1 Bloch Wavefunction in Kronig-Penny 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

7 The Quantum Treatment of Harmonic Oscillator

7.1 Energy Eigenfunction

7.2 The Properties of Eigenfunctions

7.3 HO in Linearly Superposed State

7.4 The Operator Treatment of HO

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

9 The Perturbation Theory

9.1 Time-Independent Perturbation Theory

9.2 Time-Dependent Perturbation Theory

9.3.1Harmonic Perturbation and Fermi’s Golden Rule

10 System of Identical Particles and Electron Spin

10.1 Electron Spin

10.3 Interaction of Electron Spin with Magnetic Field.

10.4 Electron Paramagnetic Resonance

11.1 Ionized Hydrogen Molecule

11.2 H2 Molecule

11.3 Ionic Bond and Van der Waals Attraction

11.4 Van der Waals Attraction

11.5 Polyatomic Molecules and Hybridized Orbitals

12 Molecular Spectra

12.1 Theoretical Background

12.2 Rotational and Vibrational Spectra of Diatomic Molecule

12.3 Nuclear Spin and Hyperfine Intreraction

12.4 Nuclear Magnetic Resonance (NMR)

13 Atom-Field Interaction

13.1 Atom-Field Interaction: Semi-Classical Treatment

13.2 Driven Two Level Atom

13.3 Atom-Field Interaction: Quantum Treatment

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

15 Semiconductor Statistics

15.1 Quantum Statistics

15.2 Carrier Concentration in Intrinsic Semiconductor

15.3 Carrier Densities in Extrinsic Semiconductors

16 Carrier Transport in Semiconductors

16.1 Quantum Description of Transport Coefficients

16.2 Equilibrium and Non-Equilibrium

16.3 Generation and Recombination Currents

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 Non-Ideal I-V Behavior

18 P-N Junction Diode: Applications

18.1 Optical Absorption

18.2 Photodiode

18.3 Solar Cell

18.4 LED and LD

19 Field Effect Transistors

19.1 The Modeling of MOSFET I-V

19.2 Silicon Nanowire Field Effect Transistor

9.3 Tunneling NWFET as Low Power Device

20 The Application and Novel Kinds of FETs

20.1 Non-Volatile flash EEPROM Cell

20.2 Semiconductor Solar Cells

20.3 Biosensor

20.4 Spin Field Effect Transistor

20.5 Spin Qubits and Quantum Computing

Professor Kim has served as the chair of the curriculum committee of the Korean Nano Technology Research Society. Kim has over 100 publications on the quantum theory of lasers, quantum electronics and micro and nano electronics. He is a Fellow of the Korean Academy of Science and Technology and has also served as Associate Editor of IEEE Transactions on Circuits and Systems Video Technology.

### About the author

Dae Mann Kim is Professor of Computational Sciences, Korea Institute for Advanced Study. A physicist by training (PhD in physics, Yale University) but an engineer by profession, Kim started his teaching career at Rice University before moving to Oregon Graduate Institute of Science and Technology and later to POSTECH (S. Korea). He has over 25 years experience teaching quantum mechanics to senior students from engineering, materials science and physics departments. Collaborating extensively with industrial labs over the years, Kim offered short courses to working engineers at Samsung and LG.Professor Kim has served as the chair of the curriculum committee of the Korean Nano Technology Research Society. Kim has over 100 publications on the quantum theory of lasers, quantum electronics and micro and nano electronics. He is a Fellow of the Korean Academy of Science and Technology and has also served as Associate Editor of IEEE Transactions on Circuits and Systems Video Technology.

Language

**English**● Format**EPUB**● Pages**380**● ISBN**9783527677177**● File size**30.0 MB**● Publisher**Wiley-VCH**● Published**2016**● Downloadable**24 months**● Currency**EUR**● ID**4896640**● Copy protection**Adobe DRM**Requires a DRM capable ebook reader