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Bonds and Bands in Solids

Bonds and Bands in Solids. Instructor: Prof. S. Ramasesha, Department of Solid State and Structural Chemistry, IISc Bangalore. Pre-requisites: Elementary Quantum Mechanics. This course deals with topics on electronic and vibrational states of solids: One-electron Hamiltonian, Bloch's Theorem, Energy Bands, Semiconductors, Density of States, Effective Mass, Interacting electron models and Kinetic Exchange, Energy levels in interacting models, Excitons, Lattice Variations, and so on. (from nptel.ac.in)

Lecture 56 - Electron-Hole Symmetry and Pairing Theorem, Solitons


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Lecture 01 - Born-Oppenheimer Approximation
Lecture 02 - Self-consistent Field (SCF) Method
Lecture 03 - Simple MO Theory of Hydrogen Molecule
Lecture 04 - Bloch's Theorem
Lecture 05 - Tight Binding Approximation
Lecture 06 - Energy Band Theory 1
Lecture 07 - Energy Band Theory 2
Lecture 08 - Density of States
Lecture 09 - Energy Band Theory 3
Lecture 10 - Energy Band Theory 4
Lecture 11 - Drudge's Classical Free Electron Model 1
Lecture 12 - Drudge's Classical Free Electron Model 2
Lecture 13 - Drudge's Classical Free Electron Model 3
Lecture 14 - Drudge's Classical Free Electron Model 4
Lecture 15 - Drudge's Classical Free Electron Model 5
Lecture 16 - Specific Heat of Fermi Gas
Lecture 17 - Energy Dispersion Relation in a Periodic Potential 1
Lecture 18 - Energy Dispersion Relation in a Periodic Potential 2
Lecture 19 - Brief Overview of Space Groups and Constant Energy Surface in 2D
Lecture 20 - Energy Band and Effective Mass
Lecture 21 - Effective Mass
Lecture 22 - Perturbation Method
Lecture 23 - Revisiting Bloch's Theorem and Tight Binding Functions
Lecture 24 - Symmetries in Crystal Hamiltonian 1
Lecture 25 - Symmetries in Crystal Hamiltonian 2
Lecture 26 - Tight Binding Method 1
Lecture 27 - Tight Binding Method 2
Lecture 28 - Tight Binding Method 3
Lecture 29 - Plane Wave Method
Lecture 30 - Pseudo Potential Method
Lecture 31 - Cellular Method of Energy Band Calculation
Lecture 32 - Muffin Tin Potential and APW Functions
Lecture 33 - Augmented Plane Wave Method of Energy Band Calculation 1
Lecture 34 - Augmented Plane Wave Method of Energy Band Calculation 2
Lecture 35 - Green's Function Method of Energy Band Calculation 1
Lecture 36 - Green's Function Method of Energy Band Calculation 2
Lecture 37 - Cyclotron Resonance Technique
Lecture 38 - De Haas-van Alphen Effect
Lecture 39 - De Haas-van Alphen Effect, Introduction to Point Impurity Effect on Band Structure
Lecture 40 - Point Impurity in Crystal
Lecture 41 - Friedel Oscillations
Lecture 42 - Lindhard Dielectric Constant
Lecture 43 - Dielectric Anomaly, Crystal Momentum
Lecture 44 - Spatial and Time Reversal Symmetries in Crystals
Lecture 45 - Time Reversal Symmetry (cont.)
Lecture 46 - Spin Orbit Interaction
Lecture 47 - Disordered Solids and Transport in Disordered Solids
Lecture 48 - Optical Properties of Semiconductors
Lecture 49 - Excitonic States in Semiconductors
Lecture 50 - Excitonic States in Semiconductors (cont.)
Lecture 51 - Molecular Orbital Calculation 1
Lecture 52 - Mott-Hubbard Transition
Lecture 53 - Hubbard Model
Lecture 54 - Electron Repulsion and Magnetic Exchange
Lecture 55 - Beyond On-Site Electron Repulsions; Pariser-Parr-Pople Model
Lecture 56 - Electron-Hole Symmetry and Pairing Theorem, Solitons
Lecture 57 - Density Waves in 1-d Systems and Lattice Variations 1
Lecture 58 - Lattice Variations 2
Lecture 59 - Lattice Variations 3
Lecture 60 - Lattice Variations 4