Central Forces

Winter 2008

First Day Handout

Daily Notices

Tentative: Check Often For Updates

Day	Topic: Subtopic	Reading (Main, Alternate, Deep)	Due Dates
1 Mon 2/25	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 20.1-3 T 3.3, 10.1 T 8.1 T 8.2 Class Notes 20.4 T 3.1, 3.4-3.5, 10.1
2 Tue 2/26	Spherical Coordinates Velocity and Acceleration Worksheet: Vel. & Acc.-Polar Coords. Circles, Ellipses, Hyperbolas Maple: Conic Sections Worksheet: Conic Sections	Class Notes 20.55 Class Notes 20.6
3 Wed 2/27	Equations of Motion: F=ma	T 8.3	HW 1 Solutions
4 Thu 2/28	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 20.7-9 T 8.4
5 Fri 2/29	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 3/3	Schrödinger's Eqn. Spherical Symmetry Separation of Variables	Class Notes 10-13 GQM 4.1
7 Tue 3/4	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 Time Dependence on a Ring Maple: The Ring Worksheet: The Ring	Class Notes 14 G 9.3
8 Wed 3/5	The Rigid Rotor Legendre's Equation Change of Variables Series Solutions	Class Notes 15-17 G 11.1	HW 3 Solutions
9 Thu 3/6	Legendre Polynomials Rodrigues' formula Graphs Orthonormality Legendre Polynomial Series Maple: Guess Worksheet: Guess Maple: Finding Legendre Coefficients Worksheet: Finding Legendre Coefficients	Class Notes 18-20
10 Fri 3/7	Legendre's Associated Equation Legendre Functions Spherical Harmonics Orthonormality	GQM 4.1.2	HW 4 Solutions
11 Mon 3/10	Spherical Harmonics Graphs Maple: YLM's Worksheet: YLM's Symmetries, parity, degeneracy
12 Tue 3/11	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 3/12	The Radial Equation Radial Functions Asymptotic Behavior Laguerre polynomials Maple: Radial Wavefunctions Worksheet: Radial Wavefunctions	GQM 4.2.1 G 13.1	HW 5 Solutions
14 Thu 3/13	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 3/14	The Classical Limit Review		HW 6 Solutions