Brief summary of lectures | |
|---|---|
| Gas. Ch. 1 | |
| Lecture 1: Mon, Aug. 25, 1997 |
Introduction, discussion of
syllabus.
(What is quantum mechanics about, where does it come from?)
There are detailed notes available for this lecture. |
| Lecture 2: Wed, Aug. 27, 1997 |
Derivation of Rayleigh-Jeans, and Planck's insight.
Einstein and the photoelectric effect, + a few convenient numbers.
Compton effect (kinematics, including brief review of relativity
formulas.) There are detailed notes available for this lecture |
| Lecture 3: Fri, Aug. 29, 1997 |
Finished Compton, discussed De Broglie, Davisson and Germer, and
the Bohr model.
There are detailed notes available for this lecture. |
|
(Mon, Sept. 1 Labor Day Holiday) | |
| Gas. Ch. 2 | |
| Lecture 4: Wed, Sept. 3, 1997 |
Wave Packets, Fourier transforms.
There are detailed notes available for this lecture. |
| Lecture 5: Fri, Sept. 5, 1997 |
Time evolution of wave packets, intro to Schrodinger Eqn,
intro to Heisenberg Uncertainty.
There are detailed notes available for this lecture. |
| Gas. Ch. 3 | |
| Lecture 6: Mon, Sept. 8, 1997 |
Heisenberg Uncertainty Examples. Start Ch3,
Interpretation of the Schodinger Eqn.
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| Lecture 7: Wed, Sept. 10, 1997 |
Probability interpretation, and probability currents.
Expectation values.
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| Lecture 8: Fri, Sept. 12, 1997 |
Momentum expection, momentum space wave functions,operators.
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| Gas. Ch. 4 | |
| Lecture 9: Mon, Sept. 14, 1997 |
Commutators (examples), momentum is real (proof), linear operators,
eigenvalues and eigenfunctions(eigenvectors), similarity between
vectors and functions, Schrodinger eqn -> eigenvalue equation.
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| Lecture 10: Wed, Sept. 16, 1997 |
Schrodinger Eq'n as eigenvalue equation, solve for time dependence.
Delta function "interlude". Solution to puzzle: the eigenfunctions
of position are delta functions. Intro to particle in box.
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| Lecture 11: Fri , Sept. 19, 1997 |
Particle in a box - energy, eigenfunctions, and discussion.
(Expansion, time dependence)
Quiz (flux).
There are detailed notes available for this lecture. |
| Lecture 12: Mon, Sept. 22, 1997 |
(Discussed quiz, and upcoming exam)
Expansion, probability interpretation of c_n's, time dependence.
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| Lecture 13: Wed, Sept. 24, 1997 |
More expansion examples, expansion in momentum.
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| Lecture 14: Fri, Sept. 26, 1997 |
More discussion of momentum eigenfunctions, Parity.
There are detailed notes available for this lecture. |
| Gas. Ch. 5 | |
| Lecture 15: Mon, Sept. 29, 1997 |
Review for exam. Start Gas Ch 5 - scattering from a potential.
(Solved S.E., used continuity of u and u', found R and T)
There are detailed notes available for this lecture. |
| Lecture 16: Wed, Oct. 1, 1997 |
Continue with Ch. 5: flux, variations on the step, and the "square
well" scattering state solutions.
There are detailed notes available for this lecture. |
| Lecture 17: Fri, Oct. 3, 1997 |
Finish the square "bump" (resonance transmission), and discuss tunneling
including specific example of alpha decay.
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| Lecture 18: Mon, Oct. 6, 1997 |
Substitute lecture with John Taylor. More on Ch. 5 - Bound states
of square well.
(Some review as well)
There are detailed notes available for this lecture. |
| Lecture 19: Wed, Oct. 8, 1997 |
Substitute lecture with John Taylor. Continue Ch. 5 -
more on bound states of a finite square well. Set up the delta
function potential.
There are detailed notes available for this lecture. |
| Lecture 20: Fri, Oct. 10, 1997 |
Physics of delta function. Solution for energy of bound state, and
scattering states (R and T) Set up "double delta function".
There are detailed notes available for this lecture. |
| Lecture 21: Mon, Oct. 13, 1997 |
Finish double delta. Start harmonic oscillator
There are detailed notes available for this lecture. |
| Gas. Ch. 6 (Griff. Ch. 3) | |
| Lecture 22: Wed, Oct. 15, 1997 |
Finish harmonic oscillator (the "crude" way), start Gas. Ch. 6
(Formalism of quantum mechanics) Analogy between
vectors and wave functions.
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| Lecture 23: Fri, Oct. 17, 1997 |
Quiz today. (Half - harmonic oscillator)
Dirac notation, some linear algebra.
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| Lecture 24: Mon, Oct. 20, 1997 |
More Dirac notation, operators, Hermiticity.
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| Lecture 25: Wed, Oct. 22, 1997 |
More about operators and Hermiticity, some theorems about
Hermitian operators.
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| Lecture 26: Fri, Oct. 24, 1997 |
The formal postulates of quantum, also discussion of
degeneracy, and simultaneous eigenvalues.
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| Lecture 27: Mon, Oct. 27, 1997 |
Generalized uncertainty principle, and time dependence.
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| Gas. Ch. 7 | |
| Lecture 28: Wed, Oct. 29, 1997 |
Operator methods: Harmonic Oscillator
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| Lecture 29: 
Fri, Oct. 31, 1997 |
(Ghostly) conclusions to operator solution of Harmonic Oscillator.
Time dependence of operators.
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| (skip 8 for now - ) Gas. Ch. 9 | |
| Lecture 30: Mon, Nov 3, 1997 |
Review of time dependence of operators. ( Finish Ch. 7)
Summarize the start of Ch. 9, (Schrodinger Eq'n in 3-D)
but we will skip the "application" part, and go straight to
Ch. 10
There are detailed notes available for this lecture. |
| Gas. Ch. 10 | |
| Lecture 31: Wed, Nov 5, 1997 |
Exam review/questions
+ Brief discussion of separation of variables.
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| Lecture 32: Fri, Nov 7, 1997 |
1st conclusions regarding separation of variables.
Angular momentum and Ylm's.
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| Lecture 33: Mon, Nov 10, 1997 |
Angular momentum, rotational invariance, Noether's theorem..
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| Lecture 34: Wed, Nov 12, 1997 |
Summarize angular momentum/rotational invariance, start radial
equation. Infinite (spherical) well.
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| Lecture 35: Fri, Nov 14, 1997 |
Finish infinite (spherical) well, nuclear magic numbers.
Introduce finite (spherical) well.
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| Lecture 36: Mon, Nov 17, 1997 |
Finite (spherical) well. Scattering and bound states.
(Intro to Ch. 11, Ylm's again)
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| Gas. Ch. 11 | |
| Lecture 37: Wed, Nov 19, 1997 |
Figuring out the Ylm's by operator methods.
(Raising and lowering operators for m)_
There are detailed notes available for this lecture. |
| Lecture 38: Fri, Nov 21, 1997 |
Continuing with the Ylm's by operator methods.
Also, quiz on radial wavefunctions.
There are detailed notes available for this lecture. |
| Lecture 39: Mon, Nov 24, 1997 |
Finish our discusion of the Ylm's, discuss their
completeness (and orthonormality).
Begin Ch. 12, set up the Hydrogen radial equation.
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| Gas. Ch. 12 | |
| Lecture 40: Wed, Nov 26, 1997 |
Solve the Hydrogen radial equation.
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|
(Fri, Nov 28 Thanksgiving Holiday) | |
| Lecture 41: Mon, Dec 1, 1997 |
Hydrogen radial wave functions.
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| Lecture 42: Wed, Dec 3, 1997 |
Hydrogen energies and degeneracies, and start Ch. 8
Introduction to N-particle systems.
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| Gas. Ch. 8 | |
| Lecture 43: Fri, Dec 5, 1997 |
Quiz (hydrogen) +
more on N-particle systems.
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| Lecture 44: Mon, Dec 8, 1997 |
Solving N-particle systems. Intro to "identical particles".
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| Lecture 45: Wed, Dec 10, 1997 |
Final lecture!
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