مکانیک کوانتومی برای نانوتکنولوژی کاربردی

This book gives a concise prologue to quantum mechanics. Quantum mechanics can be thought of generally as the investigation of material science on little length scales, in spite of the fact that there are additionally sure naturally visible frameworks it straightforwardly applies to. The descriptor \quantum” emerges in light of the fact that conversely with traditional mechanics, certain amounts go up against just discrete esteems. Cover Half Title Page Title Page Copyright Page About the Author Table of Contents List of Figures Preface Chapter 1 Basics of Quantum Mechanics 1.1. Quantum Physics 1.2. States of Quantum Physics 1.3. Operators of Quantum 1.4. Postulates of Quantum Mechanics 1.5. Schrodinger’s Time-Dependent Equation 1.6. Schrodinger’s Time Independent Equation 1.7. Traveling Waves in Quantum Physics 1.8. Linear Harmonic Oscillator 1.9. Lagrangian Mechanics 1.10. Success and Failures of Quantum Physics Chapter 2 Radiation 2.1. Introduction 2.2. Cavity/Black Body Radiation 2.3. Rayleigh-Jeans Radiation Law 2.4. Planck’s Equation 2.5. Planck’s Radiation Law Chapter 3 Particles 3.1. Introduction 3.2. Classical Description of State of Particle 3.3. Single Particle Wave Function 3.4. Free Particle Wave Function 3.5. 1-D Well With Infinitely High Barriers 3.6. Well With Finite Barrier Height 3.7. Davison Germer Experiment Chapter 4 Wave 4.1. Introduction 4.2. Wave-Particle Duality Using Wave Function In Quantum 4.3. Uncertainty And Indeterminacy 4.4. Time-Energy Uncertainty Relation 4.5. Fourier Synthesis 4.6. Wave Packets 4.7. Berkeley Experiment 4.8. Diffraction Of Matter Waves Chapter 5 Operators and Expectation Values 5.1. Dirac Notation 5.2. Bra And Ket Vectors 5.3. Commutators 5.4. Non-Commuting Operators 5.5. Commutators Involving Products of Operators 5.6. Hermitian Operator 5.7. Position Operator 5.8. Momentum Operator 5.9. Time Evolution Operator 5.10. Spin Operators 5.11. Harmonic Oscillator Related to Quantum 5.12. Tensor Operator 5.13. Spherical Tensor Operator Chapter 6 Perturbation Theory 6.1. Time-Dependent Theory 6.2. Golden Rules Of Fermi 6.3. Transition Rates (Radiative) 6.4. Rules Of Selection 6.5. Time-Independent Theory 6.6. Quadratic And Linear Stark Effect 6.7. Degenerate Theory Of Perturbation 6.8. Zeeman Effect 6.9. Paschen-Back Effect In Diatomic Molecules 6.10. Estimation Of Energy Levels 6.11. Hydrogen Gross Structure 6.12. Hydrogen Fine Structure Chapter 7 Relativistic Quantum Mechanics 7.1. Lorentz Group 7.2. Tensors, Vectors, And States Space 7.3. Electrodynamics Of Relativistic Quantum Mechanics 7.4. Lorentz Transformation Introduction 7.5. Equations of Klein-Gordon 7.6. Dirac Chapter 8 Electronic Characteristics of Solids 8.1. Drude Model 8.2. Relaxation Time Approximation 8.3. Drude Model Failure 8.4. Hall Effect 8.5. Sommerfeld Model 8.6. Fermi Dirac Function 8.7. Bloch’s Theorem 8.8. Electronic Band Structure 8.9. Free Electron Model Introduction 8.10. Dispersion Relation Chapter 9 Scattering Theory And Adiabatic Principle 9.1. Operators of Scattering 9.2. Matrix of Scattering 9.3. Optical Theorem 9.4. Expansion of Waves Partially 9.5. Scattering at very Low Energy 9.6. Resonant Scattering 9.7. Breit-Wigner Resonances 9.8. Scattering Electrons Off Hydrogen 9.9. Adiabatic Principle Derivation 9.10. Adiabatic Application In Thermodynamics 9.11. Adiabatic Application In Kinetic Theory 9.12. WKB Approximation Chapter 10 3-D Analysis Of Quantum Mechanics 10.1. Introduction 10.2. Main Concept 10.3. Particle in a Box 10.4. Gases Having Degenerative Electrons 10.5. Introduction of Composite System 10.6. Computing in Quantum 10.7. White Dwarf Stars References Index

Quantum Mechanics for Applied Nanotechnology examines various aspects of quantummechanics which are required for the development of applied Nano-technology.It includes the basic concepts of quantum mechanics, radiation, particles and waves.Provide the reader with the insights into the development of Nano-technology and itsrelationship with quantum mechanics, so as to understand various theories related toperturbation and 3-D analysis required for the mechanism.