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The ITEM column contains these entries for week n: nread READING for week n = sections from textbooks 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 ============================================================================ 1read J:2,3 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 ============================================================================ 2read J:4,5 G: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 ============================================================================ 3read 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 ============================================================================ 4read 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 4d - wave packets for free particles - the celebrated Gaussian Wave Packet 4h * HOMEWORK 4 hard deadline : MONDAY 2/12 @ 8 pm ============================================================================ 5read 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 ============================================================================ 6read 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 ============================================================================ 7read 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 ============================================================================ 8read 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 ============================================================================ 9read 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 ============================================================================ 11read T 4/03 11A R 4/05 11B <<<<< MIDTERM 2 >>>>> 11d ============================================================================ 12read T 4/10 12A R 4/12 12B 12d ============================================================================ 13read T 4/17 13A R 4/19 13B 13d ============================================================================ 14read T 4/24 14A R 4/26 14B 14d ============================================================================ 15read T 5/01 15A R 5/03 -- <<<<< READING DAY >>>>> ============================================================================ 16 <<<<< FINAL EXAM: Friday May 11, 8:00 am - 11:00 am >>>>> <<<<< room: 151 Loomis >>>>> • 486 Course Explorer pageRegistrar's Final Exam site