Introductory Quantum Mechanics for Applied Nanotechnology

This introductory textbook covers fundamental quantum mechanics from an application 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. 

1 Review of Classical Theories 
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