Day

Topic

Activities

Resources

Homework

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• One More Problem

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• face Central Forces Introduction: Lecture Notes

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• group Survivor Outer Space: A kinesthetic approach to (re)viewing center-of-mass

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• assignment_ind Newton's 2nd Law SWBQ
• face Systems of Particles Lecture Notes

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• Central Force Definition
• Central Force with no External Forces
• Conservative Forces

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• face Reduced Mass Lecture Notes

• Center of Mass for Two Uncoupled Particles
• Reduced Mass
• Sun vs. Jupiter
• Undo Formulas for Reduced Mass (Algebra)
• Undo Formulas for Reduced Mass (Geometry)

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• assignment_ind Curvilinear Coordinates Introduction
• accessibility_new Curvilinear Basis Vectors

• Angular Momentum and Kinetic Energy in the Center of Mass
• Polar Basis Vectors
• Polar vs. Spherical Coordinates
• Positions and Velocities in Curvilinear Coordinates

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• group Velocity and Acceleration in Polar Coordinates
• face Acceleration in Polar Coordinates

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• group Conic Sections

• Eccentricity
• Lines in Polar Coordinates

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• face Conservation of Angular Momentum

• Central Forces are Conservative

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• face Equations of Motion Lecture Notes

• Newtonian Mechanics: Central Force
• WQ-Lagrangian Mechanics for a Central Force

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• face Orbit Shape

• Find Force Law: Logarithmic Spiral Orbit
• Find Force Law: Spiral Orbit

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• groups Air Hockey

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• face Equations of Motion from Energy Conservation

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• accessibility_new Acting Out Effective Potentials
• computer Effective Potentials

• Hockey
• NASA
• NASA 2
• Scattering
• WQ-Effective Potentials
• Yukawa
• Yukawa 2

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• group Keplerian Orbits

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• face Classical Orbits Summary

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• Hard Cone Scattering
• Solid Angle

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• group Working with Representations on the Ring

• Activity: Representations of Probabilities on the Ring
• Activity: Working with Representations on the Ring
• Energy and Angular Momentum for a Quantum Particle on a Ring Handout
• Normalization of Quantum States
• QM Ring Compare
• QM Ring Function
• QMRingCompareSeparated
• Representations of Probabilities on the Ring
• Ring Function
• Ring Ket Book
• Ring Table
• Working with Representations on the Ring

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• group Wavefunctions on a Quantum Ring
• group Histograms for the Quantum Ring

• Probability Density Ring

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• face Time Evolution Refresher (Mini-Lecture)
• group Time Evolution of the ISW

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• group Time Dependence for a Quantum Particle on a Ring
• computer Visualization of Quantum Probabilities for a Particle Confined to a Ring

• Expectation Values for a Particle on a Ring Handout
• Particle on a Ring Time Dependence: Mathematica Notebook
• QM Ring Function with Time Dependence
• QM Ring Time
• QM Ring with Time Dependence
• QMRing_TimeDep_Intro
• Ring Ket
• Superposition States for a Particle on a Ring
• Time Dependence for a Quantum Particle on a Ring
• Visualization of Wave Functions on a Ring
• WQ_Particle_On_The_Ring_I

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• face Classical Orbits Equation Sheet
• face Quantum Ring Equation Sheet
• face Classical Orbits Summary

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• group Using Technology to Explore Power Series Approximations
• assignment_ind Sensemaking from Graphs of Power Series I
• computer Visualization of Power Series Approximations

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• group Power Series Solution of ODEs: Math Example

• Hermite Polynomials
• Laguerre
• Laguerre Polynomials
• Laguerre Polynomials
• Legendre
• ODE Power Series Solutions One
• ODE Power Series Solutions Two
• Power Series Solution for Laguerre Polynomials
• Recurrence Math
• Recurrence Relations
• Sum Shift

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• face Series Solutions of Legendre's Equation

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• face Legendre Polynomials Lecture

• Legendre Polynomial Look Up
• Properties of Legendre Polynomials

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• face Sturm-Liouville Theorems

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• computer Guessing Legendre Coefficients
• face Legendre Polynomial Series Lecture
• computer Expanding a Function in Legendre Polynomials.

• Legendre Polynomial Series for the Sine Function

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• Laplace
• Laplace Practice
• Quantum Particle in a 2-D Box
• Quantum Particle in a 2D Box with Time Dependence
• Quantum Particle in a 2D Box: Complete
• Square 2D
• Square 2D Fourier

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• group Quantum Cylinder

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• Laplace's Equation in Polar Coordinates
• Separation of Variables on the Sphere

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• ODE Change of Independent Variable

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• Associated Legendre

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• First Nine Terms
• Harmonics Verify P
• Spherical Harmonics Lookup

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• computer Visualizing Spherical Harmonics
• computer Visualizing Combinations of Spherical Harmonics
• group Spherical Harmonics on a Balloon

• Quantum State Visualization
• Visualization of a Particle on a Sphere Superpositions

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• face Quantum Reference Sheet
• group Probabilities for a Quantum Particle on a Unit Sphere in Spherical Harmonic Functions
• group Finding Coefficients of a Spherical Harmonics Series

• Angular Momentum Probability
• Quantum Numbers on the Sphere
• Rigid Rotor Probabililties Practice
• Sphere
• Sphere Questions
• Sphere Questions: Matrix Notation
• Sphere Table
• Spherical Harmonics Expansion

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• group Matrix Representation of Angular Momentum

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• face Angular Momentum Commutation Relations: Lecture

• Angular Momentum Commutation Relations
• WQ_Angular_Momentum_Algebra_I

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• group Raising and Lowering Operators for Spin

• Raising and Lowering Operators for Spin

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• group Quantum Particle on a Unit Sphere in Dirac Notation

• QM Sphere with Time Dependence

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• Quantum Cylinder

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• Recurrence

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• computer Visualizing Radial Wave Functions

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• group Hydrogen Probabilities in Matrix Notation
• group Quantum Calculations on the Hydrogen Atom

• Bohr Radius
• Eigenvalues for Different Systems
• Hydrogen Atom Representation Matching
• Hydrogen Atom Table
• Hydrogen, Version 1
• Hydrogen, Version 2
• Probability Density from the Density Operator
• SP Hybrid
• SP not Hybrid
• SPHybrid2
• Verify Eigenvalues for a Hydrogen Atom State

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• computer Visualization of Quantum Probabilities for the Hydrogen Atom

• Interpreting Hydrogen Atom Plots

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• group Probability of Finding an Electron Inside the Bohr Radius

• Dipole Moment
• Forbidden Region

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• face Classical Orbits Equation Sheet
• face Quantum Ring Equation Sheet
• face Quantum Reference Sheet
• group Spherical Harmonics
• group Radial Functions

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• Air Table
• Effective Potentials: Graphical Version
• Probability Density

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