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Physics
NOC:Advanced Quantum Mechanics with Applications (Video)
Syllabus
Co-ordinated by :
IIT Guwahati
Available from :
2018-05-01
Lec :
1
Modules / Lectures
Week 1: Introduction to Quantum Physics
Lec 1: Introduction , Postulates of Quantum Mechanics
Lec 2: Stern Gerlach Experiment, Spin Quantization, Young's Double Slit Experiment
Lec 3: The Mathematical Formalism of Quantum Mechanics, Uncertainty Principle
Lec 4: The Density Matrix Formalism, Expectation values of Operators
Week 2: Density Matrix formalism
Lec 1: Qunatum Harmonic Oscillator, Creation and annihilation Operators
Lec 2: Coherent States and their Properties
Lec 3: Applications of Coherent States, squeezed states
Lec 4: Symmetries and Conservational Principles in Quantum Mechanics
Week 3: Rotation and Spin Angular Momentum
Rotation Operator and Invariance of Angular Momentum, Parity
Spherically Symmetric System and Applications to quantum dots
Spin Angular Momentum, Addition of Angular Momentum, Clebsch gordan coefficients
Magnetic Hamiltonian, Heisenberg Model
Week 4: Nuclear Magnetic Resonance (NMR)
Nuclear Magnetic Resonance (NMR)
Applications of NMR, time evolution of Magnetic Moments
Introduction to Quantum Computing
Qubits,EPR Paradox
Week 5: Basics of Quantum Information
Quantum Entanglement (QE)
Teleportation, Quantum Teleportation for one spin
Entangled state for two spins
Quantum Gates, Walsh Hadamard Transportation, No cloning theorem
Week 6: Approximate method in Quantum Mechanics
Perturbation Theory
Stark Effect: First order in ground state
Stark Effect: Second order in ground state
Week 7: Approximation methods in Quantum Mechanics (continued)
Variational method, Variation of constants, Upper bound on ground state energy
Application of Variational method,Hydrogen,Helium atom,Comparison with perturbation theory
WKB Approximation, Bohr Sommerfeld quantization condition
Week 8: Approximation methods and special topics
Summary of Approximation methods, Time dependent Perturbation Theory
Time dependent Perturbation Theory, Fermi's Golden rule, Einstein's A and B coefficients
Scattering Theory
Linear Response Theory: Derivation of Kubo formula
Quantum Dynamics: Two level system
Examples
Interaction of Radiation with matter, Landau levels
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