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35. Delta-Functions, Eigen-Functions of X, Discrete Variable Representation

5.61 - Physical Chemistry

逐字稿

English 中文

其他影片 (36)

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

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Physical Chemistry

課程影片 (36)

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