| 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.
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| 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. The Feynman Lectures on Physics: Commemorative Issue. Vol. 3. Redwood City, CA: Addison-Wesley, 1989, chapter 1. ISBN: 9780201510058.
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| 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.
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| 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.
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| 7 |
Bohr model, hydrogen spectral lines |
G, section 1.5.
FT, sections 1.7-1.12.
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| 8 |
Bohr correspondence principle, shortcomings of Bohr model, Wilson-Sommerfeld quantization rules |
G, section 1.5.
FT, sections 1.7-1.12.
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| 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. The Feynman Lectures on Physics: Commemorative Issue. Vol. 3. Redwood City, CA: Addison-Wesley, 1989, chapter 20. ISBN: 9780201510058.
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| 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.
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| 12 |
Eigenfunctions of p and x, Dirac delta function, Fourier transform |
G, section 3.5.
FT, sections 6.1-6.9.
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| 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.
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| 15 |
Boundary conditions, 1D problems: Finite square well, delta function potential |
G, sections 4.1-4.3.
FT, sections 9.1-9.7.
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| 16 |
More 1D problems, tunneling |
G, sections 4.1-4.5.
FT, sections 9.1-9.5.
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| 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.
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| 20 |
Angular momentum, simultaneous eigenfunctions |
G, sections 7.1-7.2.
FT, sections 11.1-11.2.
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| 21 |
Spherical harmonics |
G, section 7.3.
FT, sections 10.1-10.7.
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| 22 |
Hydrogen atom: Radial equation |
G, section 8.2.
FT, sections 12.1-12.6.
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| 23 |
Hydrogen atom: 3D eigenfunctions and spectrum |
G, section 8.3.
FT, sections 12.1-12.6.
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| 24 |
Entanglement, Einstein-Podolsky Rosen paradox |
G, sections 20.1-20.3. |
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Final exam |
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