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