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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