| 1 |
Overview, Scale of Quantum Mechanics, Boundary between Classical and Quantum Phenomena |
FT, sections 1.1-1.6. |
| 2 |
Planck's Constant, Interference, Fermat's Principle of Least Time, deBroglie Wavelength |
G, section 1.1.
FT, sections 2.1-2.3. |
| 3 |
Double Slit Experiment with Electrons and Photons, Wave Particle Duality, Heisenberg Uncertainty |
G, section 1.4.
FT 2.10-2.11.
Feynman, Richard P., Robert B. Leighton, and Matthew L. Sands. Lectures on Physics. Vol. 3. Redwood City, CA: Addison-Wesley, 1989, chapter 1. |
| 4 |
Wavefunctions and Wavepackets, Probability and Probability Amplitude, Probability Density |
G, sections 2.1-2.4.
FT, sections 2.1-2.2 and 2.7-2.11. |
| 5 |
Thomson Atom, Rutherford Scattering |
FT, sections 1.1-1.12. |
| 6 |
Photoelectric Effect, X-rays, Compton Scattering, Franck Hertz Experiment |
FT, sections 1.1-1.12.
G, sections 1.2-1.3. |
| 7 |
Bohr Model, Hydrogen Spectral Lines |
G, section 1.5.
FT, sections 1.7-1.12. |
| 8 |
Bohr Correspondence Principle, Shortcomings of Bohr Model, Wilson-Sommerfeld Quantization Rules |
G, section 1.5.
FT, sections 1.7-1.12. |
| 9 |
Schrödinger Equation in One Dimension, Infinite 1D Well |
G, sections 3.1-3.3.
FT, sections 3.3-3.10. |
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In-class Exam 1 |
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| 10 |
Eigenfunctions as Basis, Interpretation of Expansion Coefficients, Measurement |
G, sections 3.4 and 5.1-5.2.
FT, sections 3.4-3.7.
Feynman, Richard P., Robert B. Leighton, and Matthew L. Sands. Lectures on Physics. Vol. 3. Redwood City, CA: Addison-Wesley, 1989, chapter 20. |
| 11 |
Operators and Expectation Values, Time Evolution of Eigenstates, Classical Limit, Ehrenfest's Theorem |
G, sections 5.3-5.5.
FT, sections 8.1-8.4. |
| 12 |
Eigenfunctions of p and x, Dirac Delta Function, Fourier Transform |
G, section 3.5.
FT, sections 6.1-6.9. |
| 13 |
Wavefunctions and Operators in Position and Momentum Space, Commutators and Uncertainty |
FT, sections 4.1-4.2 and 8.1-8.10. |
| 14 |
Motion of Wavepackets, Group Velocity and Stationary Phase, 1D Scattering off Potential Step |
G, sections 2.2 and 4.1.
FT, sections 8.7-8.10 and 9.1-9.3. |
| 15 |
Boundary Conditions, 1D Problems: Finite Square Well, Delta Function Potential |
G, sections 4.1-4.3.
FT, sections 9.1-9.7. |
| 16 |
More 1D Problems, Tunneling |
G, sections 4.1-4.5.
FT, sections 9.1-9.5. |
| 17 |
Harmonic Oscillator: Series Method |
G, section 4.7.
FT, section 4.3. |
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In-class Exam 2 |
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| 18 |
Harmonic Oscillator: Operator Method, Dirac Notation |
G, section 6.2. |
| 19 |
Schrödinger Equation in 3D: Cartesian, Spherical Coordinates |
G, section 8.1.
FT, sections 5.1-5.7. |
| 20 |
Angular Momentum, Simultaneous Eigenfunctions |
G, sections 7.1-7.2.
FT, sections 11.1-11.2. |
| 21 |
Spherical Harmonics |
G, section 7.3.
FT, sections 10.1-10.7. |
| 22 |
Hydrogen Atom: Radial Equation |
G, section 8.2.
FT, sections 12.1-12.6. |
| 23 |
Hydrogen Atom: 3D Eigenfunctions and Spectrum |
G, section 8.3.
FT, sections 12.1-12.6. |
| 24 |
Entanglement, Einstein-Podolsky Rosen Paradox |
G, sections 20.1-20.3. |
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Final Exam |
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