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9. The Harmonic Oscillator: Creation and Annihilation Operators
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Classroom Contents
Physical Chemistry
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- 1 1. Quantum Mechanics—Historical Background, Photoelectric Effect, Compton Scattering
- 2 2. Wave Nature of the Electron and the Internal Structure of an Atom
- 3 3. Two-Slit Experiment; Quantum Weirdness
- 4 4. Classical Wave Equation and Separation of Variables
- 5 5. Quantum Mechanics: Free Particle and Particle in 1D Box
- 6 6. 3-D Box and QM Separation of Variables
- 7 7. Classical Mechanical Harmonic Oscillator
- 8 8. Quantum Mechanical Harmonic Oscillator
- 9 9. The Harmonic Oscillator: Creation and Annihilation Operators
- 10 10. The Time-Dependent Schrödinger Equation
- 11 11. Wavepacket Dynamics for Harmonic Oscillator and PIB
- 12 12. Catch Up and Review & Postulates
- 13 13. From Hij Integrals to H Matrices I
- 14 14. From Hij Integrals to H Matrices II
- 15 15. Non-Degenerate Perturbation Theory I
- 16 16. Non-Degenerate Perturbation Theory II: HO using a,a†
- 17 17. Rigid Rotor I; Orbital Angular Momentum
- 18 18. Rigid Rotor II. Derivation by Commutation Rules
- 19 19. Spectroscopy: Probing Molecules with Light
- 20 20. Hydrogen Atom I
- 21 21. Hydrogen Atom II; Rydberg States
- 22 22. Helium Atom
- 23 23. Many-Electron Atoms
- 24 24. Molecular Orbital Theory I; Variational Principle and Matrix Mechanics
- 25 25. Molecular Orbital Theory II; H2+, A2, AB Diatomics
- 26 26. Qualitative MO Theory: Hückel
- 27 27. Non-Degenerate Perturbation Theory III
- 28 28. Modern Electronic Structure Theory: Basis Sets
- 29 29. Modern Electronic Structure Theory: Electronic Correlation
- 30 30. Time-Dependent Perturbation Theory I: H is Time-Independent, Zewail Wavepacket.
- 31 31. Time-Dependent Perturbation Theory II: H is Time-Dependent: Two-Level Problem
- 32 32. Intermolecular Interactions by Non-Degenerate Perturbation Theory
- 33 33. Electronic Spectroscopy: Franck-Condon
- 34 34. Electronic Spectroscopy and Photochemistry
- 35 35. Delta-Functions, Eigen-Functions of X, Discrete Variable Representation
- 36 36. Time Dependence of Two-Level Systems: Density Matrix, Rotating Wave Approximation
