Copies of the course notes can be found here:
Quantum (Separation of Variables)
Quantum (The Ring and the Sphere)
| Day | Topic: Subtopic |
Reading (Main, Alternate, Deep) |
Due Dates |
|---|---|---|---|
| 1 Mon 5/7 |
Math Bits Series Solutions |
Class Notes 22 Boas 12.1-2 Boas 12.11-12 | |
| 2 Tue 5/8 |
Math Bits Change of Variables |
Boas 8.4, 8.7 | |
| 3 Wed 5/9 |
Introduction to Central Forces Systems of Particles Center of Mass Survivor Outerspace Two-body Problems Central Forces Reduced Mass |
T 1.1-1.4 Class Notes 1-3 T 3.3, 10.1 T 8.1 T 8.2 |
HW 1 Solutions Please bring a spacesuit to class |
| 4 Thu 5/10 |
Classical Angular Momentum Torque Conservation of Angular Momentum Kepler's Second Law Spherical/Polar Coordinates Spherical Coordinates Velocity and Acceleration Worksheet: Vel. & Acc.-Polar Coords. |
Class Notes 4 T 3.1, 3.4-3.5, 10.1 Class Notes 5 Class Notes 6 | |
| 5 Fri 5/11 |
Polar Graphs Circles, Ellipses, Hyperbolas Mathematica: Conic Sections Worksheet: Conic Sections |
|
HW 2 Solutions |
| 6 Mon 5/14 |
QUIZ Equations of Motion: F=ma Orbit Shapes Inverse Square Forces Kepler's first law Potentials Air Table |
T 8.3 Class Notes 7-9 | |
| 7 Tue 5/15 |
Equations of Motion: E=T+U Effective Potentials Mathematica: Effective Potentials Worksheet: Effective Potentials |
T 8.4 | |
| 8 Wed 5/16 |
Inverse Square Forces Orbits Maple: Orbits Mathematica: Orbits Worksheet: Orbits Other Force Laws Orbits Summary Recap Weekend Review: F 6-8 pm, Sun 10-noon |
T 8.5-8.7 |
HW 3 Solutions |
| 9 Thu 5/17 |
Scattering |
T 14.1-14.6 | |
| 10 Fri 5/18 |
Math Bits Sturm-Liouville Particle in a 2-D Box |
|
HW 4 Solutions |
| 11 Mon 5/21 |
QUIZ Math Bits Boundary Conditions |
| |
| 12 Tue 5/22 |
Math Bits Legendre Polynomial Series Mathematica: Guess Worksheet: Guess Mathematica: Finding Legendre Coefficients Math Bits Worksheet: Finding Legendre Coefficients Rodrigues' formula Graphs Orthonormality |
Class Notes 18-20 | |
| 13 Wed 5/23 |
Schroedinger's Eqn. Spherical Symmetry Separation of Variables |
Class Notes 10-13 GQM 4.1 |
HW 5 Solutions |
| 14 Thu 5/24 |
The Ring z-component of angular momentum Degeneracy Comparison to Particle in a Box Quantum States on a Ring Worksheet: Quantum states on a Ring Worksheet: Quantum states on a Ring Worksheet: Quantum states on a Ring |
Class Notes 14 G 9.3 | |
| 15 Fri 5/25 |
Time Dependence on a Ring Maple: The Ring Worksheet: The Ring |
|
HW 6 Solutions |
| 16 Mon 5/28 |
MEMORIAL DAY |
| |
| 17 Tue 5/29 |
The Rigid Rotor Legendre's Associated Equation Legendre Functions Spherical Harmonics Orthonormality Spherical Harmonics Graphs Mathematica: YLM's Worksheet: YLM's Symmetries, parity, degeneracy |
Class Notes 15-17 G 11.1 GQM 4.3 GQM 4.1.2 GQM 4.3 | |
| 18 Wed 5/30 |
Quantum States of the Rigid Rotor Maple: Linear Combinations of YLMs Worksheet: Linear Combinations of YLMs |
|
HW 7 Solutions |
| 19 Thu 5/31 |
Time Dependence Angular Momentum Commutation Relations |
| |
| 20 Fri 6/1 |
Orbital Angular Momentum Raising & lowering operators Spin 1 revisited |
GQM 4.3, G 11.2 |
HW 8 Solutions |
| 21 Mon 6/4 |
QUIZ The Radial Equation Radial Functions Asymptotic Behavior Laguerre polynomials Mathematica: Radial Wavefunctions Worksheet: Radial Wavefunctions |
GQM 4.2, G 13.1 | |
| 22 Tue 6/5 |
Hydrogen Atom Wave Functions Symmetries, parity, degeneracy Mathematica: Hydrogen Probablility Densities Worksheet: Hydrogen Probability Densities |
GQM 4.2, G 13.2 | |
| 23 Wed 6/6 |
The Classical Limit |
|
HW 9 Solutions |
| 24 Thu 6/7 |
Applications |
GQM 4.2.2 | |
| 25 Fri 6/8 |
Review |
|
HW 10 Solutions |
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Last Update 3/8/18, webpage created by Corinne Manogue,
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