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Physics 939 – Fall 2009 – Class Schedule |
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Week |
Date |
Lecture |
Source |
Topic Covered --- Reading Assignment |
Homework |
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G=Goldstein, L=Landau, F=Fetter |
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1 |
Tu |
09/01/09 |
L1 |
G1.1-1.4, F1 |
Math preliminaries, tensors |
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Th |
09/03/09 |
L2 |
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One particle systems; conservation laws |
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2 |
Tu |
09/08/09 |
L3 |
G1.4-1.6, F1 |
N particle systems; conservation laws; constraints |
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Th |
09/10/09 |
L4 |
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Constraints; Lagrangian formulation with no constraints |
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3 |
Tu |
09/15/09 |
L5 |
G2.1-2.4, L1, F3 |
Lagrange equations from D'Alembert's principle |
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Th |
09/17/09 |
L6 |
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Lagrange equations from Hamilton's principle; calculus of variations; Lagrange multipliers |
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4 |
Tu |
09/22/09 |
L7 |
G2.4-3.4, L1-2, F3 |
Lagrange multipliers (cont); examples; canonical momentum;Hamiltonian |
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Th |
09/24/09 |
L8 |
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Hamiltonian (cont); two body problem and central forces |
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5 |
Tu |
09/29/09 |
L9 |
G3.3-3.9, L3 |
Kepler problem and orbit classification |
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Th |
10/01/09 |
L10 |
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Orbit classification (cont); L-R-L vector |
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6 |
Tu |
10/06/09 |
L11 |
G3.6-3.8, L3 |
Virial Theorem; scattering |
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Th |
10/08/09 |
L12 |
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scattering (cont); transformation to Lab coordinates |
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7 |
Tu |
10/13/09 |
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Exam Review (Monday Schedule) |
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Th |
10/15/09 |
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G3.10-3.11, L4, F1 |
Midterm Exam |
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8 |
Tu |
10/20/09 |
L13 |
G4.1-4.5, F2 |
relation of Lab and com scattering angles; kinematics of rigid body motion, direction cosines, orthogonal transformations |
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Th |
10/22/09 |
L14 |
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rotations in 3 dimensions; group properties; Euler angles; Euler's rigid body theorem |
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9 |
Tu |
10/27/09 |
L15 |
G4.6-5.2, L6, F5 |
Euler's Thm (cont); finite rotations; infinitesimal rotations; rate of change of general vector |
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Th |
10/29/09 |
L16 |
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rate of change of general vector (cont.); Coriolis effect; Foucalt's pendulum (DAWSON) Midterm 2 on 10/30 |
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10 |
Tu |
11/03/09 |
L17 |
G5.3-5.7, L6, F5 |
Problem session (DAWSON) |
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Th |
11/05/09 |
L18 |
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Angular momentum and the inertia tensor (DAWSON) |
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11 |
Tu |
11/10/09 |
L19 |
G5.8-5.9, L6, F5 |
The inertia tensor (cont); parallel axis theorem; principal moments of inertia |
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Th |
11/12/09 |
L20 |
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Euler's equations of motion; torque-free symmetric top |
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12 |
Tu |
11/17/09 |
L21 |
G6.1-6.6, L5, F4 |
Heavy symmetric top in gravitational field |
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Th |
11/19/09 |
L22 |
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Small oscillations: general formulation;C02 molecule |
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13 |
Tu |
11/24/09 |
L23 |
G8.1-8.3, L7, F6 |
C02 molecule (cont); Fourier transformation |
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Th |
11/26/09 |
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THANSGIVING DAY |
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14 |
Tu |
12/01/09 |
L24 |
G8.4-8.6, L7, F6 |
Dissipative forces; Hamiltonian formulation |
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Th |
12/03/09 |
L25 |
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Hamiltonian formulation (cont); examples; symplectic structure;Routhian |
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15 |
Tu |
12/08/09 |
L26 |
G9 + ST |
Routhian (cont.);Hamilton eqns from variational principle;Poisson Brackets |
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Th |
12/10/09 |
L27 |
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Evals; Final Exam survey |
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