```
All materials are available from the top URL,
http://courses.physics.illinois.edu/phys486/
i.e. homework & discussion problems & solutions, lecture blackboards,
formula sheets, and INFO files.

The ITEM column contains these entries for week n:
nA      LECTURE #1 = Monday
nB      LECTURE #2 = Wednesday
nd      DISCUSSION = Wednesday
The READING item gives textbook sections for each week where the letters mean:
G       Griffiths = the required textbook
J       Jain = the excellent \$2.88 eBook

DATE    ITEM    CONTENT
============================================================================
T 1/16  1A      - the need for QM I
R 1/18  1B      - the need for QM II
- the Bohr atom
1d      - special relativity review
- Compton scattering
1h      * NO homework 1
============================================================================
T 1/23  2A      - recap : Lagrangian mechanics & conjugate momentum
- Hamiltonian mechanics
R 1/25  2B      - Liouville's theorem : proof
- old QM : correspondence principle + quantization rules
- 1925 : old QM → new QM → wave mechanics
2d      - the wavefunction & probability
============================================================================
T 1/30  3A      - development of wave mechanics I
R 2/01  3B      - development of wave mechanics II
3d      - axioms of wave mechanics
- Ehrenfest's Theorem
============================================================================
T 2/06  4A      - expectation values
- eigenstates of an operator Q (a.k.a. states of determinate Q)
- plane waves cannot be normalized
R 2/08  4B      - wave packets : CAN be normalized!
- wave packets : dispersion relation
- the celebrated Gaussian Wave Packet
4h      * HOMEWORK 4 hard deadline : MONDAY 2/12 @ 8 pm
============================================================================
T 2/13  5A      - wave packets : phase vs group velocity
R 2/15  5B      - solving systems with piecewise potentials V(x)
- boundary conditions on wavefunctions
5d      - solving systems with piecewise potentials V(x)
5h      * NO HOMEWORK 5 → study
============================================================================
T 2/20  6A      - zero-point energy
- Inner Product Spaces 1
R 2/22  6B      <<<<<   MIDTERM 1   >>>>>
6d      - Dirac delta-function
- delta-function barrier & well
============================================================================
T 2/27  7A      - Inner Product Spaces 2
- Dirac orthonormality
R 3/01  7B      - IPS concept : Dual Space
- Hilbert Space = an IPS without unphysical holes
- Axioms of QM refined : Shankar's Four
- Hermitian Operators : defining properties
7d      - Hermitian Operators : more properties
- Commutators
============================================================================
T 3/06  8A      - Hermitian Ops : e-functions are complete
- Hermition Ops : commuting ops have common e-functions
- Heisenberg Uncertainty Principle : general form
R 3/08  8B      - the Canonical Commutators : [A,B] of x,y,z,px,py,pz
8d      - the Harmonic Oscillator
============================================================================
T 3/13  9A      - measurement process : "collapse" of wavefunction
- degenerate eigenvalues / eigenstates
R 3/15  9B      - other-space wavefunctions ψα(q) = ⟨eq|α⟩
9d      - successive measurements
9h      * HOMEWORK 9 hard deadline : MONDAY 4/02 @ 8 pm
============================================================================
M 3/19          SPRING BREAK
============================================================================
10read  J:6.3  ;  G:4.1-2 / J:7.2,12.1,12.3
T 3/27  10A     - probability current
- 3D Schrödinger Equation : Cartesian separation
- 3D Schrödinger Equation : Spherical separation
R 3/29  10B     - the angular equation : spherical harmonics
- the radial equation : infinite well
- the radial equation : hydrogen atom
10d     - 3D infinte box
10h     * NO HOMEWORK 10 → study
============================================================================
T 4/03  11A
R 4/05  11B     <<<<<   MIDTERM 2   >>>>>
11d
============================================================================
T 4/10  12A
R 4/12  12B
12d
============================================================================
T 4/17  13A
R 4/19  13B
13d
============================================================================
T 4/24  14A
R 4/26  14B
14d
============================================================================