Lecture 1 - Introduction, Postulates of Quantum Mechanics
Lecture 2 - Stern Gerlach Experiment, Spin Quantization, Young's Double Slit Experiment
Lecture 3 - The Mathematical Formalism of Quantum Mechanics, Uncertainty Principle
Lecture 4 - The Density Matrix Formalism, Expectation values of Operators
Lecture 5 - Qunatum Harmonic Oscillator, Creation and annihilation Operators
Lecture 6 - Coherent States and their Properties
Lecture 7 - Applications of Coherent States, squeezed states
Lecture 8 - Symmetries and Conservational Principles in Quantum Mechanics
Lecture 9 - Rotation Operator and Invariance of Angular Momentum, Parity
Lecture 10 - Spherically Symmetric System and Applications to quantum dots
Lecture 11 - Spin Angular Momentum, Addition of Angular Momentum, Clebsch gordan coefficients
Lecture 12 - Magnetic Hamiltonian, Heisenberg Model
Lecture 13 - Nuclear Magnetic Resonance (NMR)
Lecture 14 - Applications of NMR, time evolution of Magnetic Moments
Lecture 15 - Introduction to Quantum Computing
Lecture 16 - Qubits,EPR Paradox
Lecture 17 - Quantum Entanglement (QE)
Lecture 18 - Teleportation, Quantum Teleportation for one spin
Lecture 19 - Entangled state for two spins
Lecture 20 - Quantum Gates, Walsh Hadamard Transportation, No cloning theorem
Lecture 21 - Perturbation Theory
Lecture 22 - Stark Effect: First order in ground state
Lecture 23 - Stark Effect: Second order in ground state
Lecture 24 - Variational method, Variation of constants, Upper bound on ground state energy
Lecture 25 - Application of Variational method,Hydrogen,Helium atom,Comparison with perturbation theory
Lecture 26 - WKB Approximation, Bohr Sommerfeld quantization condition
Lecture 27 - Summary of Approximation methods, Time dependent Perturbation Theory
Lecture 28 - Time dependent Perturbation Theory, Fermi's Golden rule, Einstein's A and B coefficients
Lecture 29 - Scattering Theory
Lecture 30 - Linear Response Theory: Derivation of Kubo formula
Lecture 31 - Quantum Dynamics: Two level system
Lecture 32 - Examples
Lecture 33 - Interaction of Radiation with matter, Landau levels
