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 2/23 |
Introduction Systems of Particles Center of Mass Two-body Problems Central Forces Reduced Mass Classical Angular Momentum Torque Conservation of Angular Momentum Kepler's Second Law |
T 1.1-1.2, 1.4 Class Notes 1-3 T 3.3, 10.1 T 8.1 T 8.2 Class Notes 4 T 3.1, 3.4-3.5, 10.1 | |
| 2 Tue 2/24 |
Spherical Coordinates Velocity and Acceleration Worksheet: Vel. & Acc.-Polar Coords. Circles, Ellipses, Hyperbolas Maple: Conic Sections Worksheet: Conic Sections |
Class Notes 5 Class Notes 6 | |
| 3 Wed 2/25 |
Equations of Motion: F=ma |
T 8.3 |
HW 1 Solutions |
| 4 Thu 2/26 |
Orbit Shapes Inverse Square Forces Kepler's first law Equations of Motion: E=T+U Effective Potentials Maple: Effective Potentials Worksheet: Effective Potentials |
Class Notes 7-9 T 8.4 | |
| 5 Fri 2/27 |
Inverse Square Forces Orbits Maple: Orbits Worksheet: Orbits Visualize orbits Other Force Laws Orbits Summary Recap |
T 8.5-8.7 |
HW 2 Solutions |
| 6 Mon 3/2 |
Schrödinger's Eqn. Spherical Symmetry Separation of Variables |
Class Notes 10-13 GQM 4.1 | |
| 7 Tue 3/3 |
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 | |
| 8 Wed 3/4 |
Time Dependence on a Ring Maple: The Ring Worksheet: The Ring |
| |
| 9 Thu 3/5 |
The Rigid Rotor Legendre's Equation Change of Variables Series Solutions Legendre Polynomials Rodrigues' formula Graphs Orthonormality Legendre Polynomial Series Maple: Guess Worksheet: Guess Maple: Finding Legendre Coefficients Worksheet: Finding Legendre Coefficients |
Class Notes 15-17 G 11.1 GQM 4.3 Class Notes 18-20 |
HW 3 Solutions |
| 10 Fri 3/6 |
Legendre's Associated Equation Legendre Functions Spherical Harmonics Orthonormality |
GQM 4.1.2 GQM 4.3 |
HW 4 Solutions |
| 11 Mon 3/9 |
Spherical Harmonics Graphs Maple: YLM's Worksheet: YLM's Symmetries, parity, degeneracy |
| |
| 12 Tue 3/10 |
Quantum States of the Rigid Rotor Maple: Linear Combinations of YLMs Worksheet: Linear Combinations of YLMs Angular Momentum Commutation Relations Orbital Angular Momentum Raising & lowering operators Spin 1 revisited |
GQM 4.3, G 11.2 | |
| 13 Wed 3/11 |
The Radial Equation Radial Functions Asymptotic Behavior Laguerre polynomials Maple: Radial Wavefunctions Worksheet: Radial Wavefunctions |
GQM 4.2, G 13.1 |
HW 5 Solutions |
| 14 Thu 3/12 |
Hydrogen Atom Wave Functions Symmetries, parity, degeneracy Maple: Hydrogen Probablility Densities Worksheet: Hydrogen Probability Densities Applications |
GQM 4.2, G 13.2 GQM 4.2.2 | |
| 15 Fri 3/13 |
The Classical Limit Review |
|
HW 6 Solutions Maple Sol |
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Last Update 3/9/09, webpage created by Corinne Manogue,
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