Topic

In class today

Resources

Homework

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• face Central Forces Introduction: Lecture Notes (PDF)

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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 (PDF) (solution)
• face Systems of Particles Lecture Notes (PDF)

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• face Reduced Mass Lecture Notes (PDF)

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• assignment_ind Curvilinear Coordinates Introduction (PDF) (solution)
• accessibility_new Curvilinear Basis Vectors (PDF) (solution)

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• group Velocity and Acceleration in Polar Coordinates (PDF) (solution)
• face Acceleration in Polar Coordinates

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• group Conic Sections (PDF)

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• HW 01 Practice (PDF)
  Solution (PDF)

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• HW 01 (PDF)
  Solution (PDF)

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• face Conservation of Angular Momentum (PDF)

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• face Equations of Motion Lecture Notes (PDF)

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• face Orbit Shape (PDF)

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• groups Air Hockey

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• face Equations of Motion from Energy Conservation (PDF)

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• accessibility_new Acting Out Effective Potentials
• computer Effective Potentials (PDF)

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• group Keplerian Orbits

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• face Classical Orbits Summary (PDF)

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• HW 02 Practice (PDF)
  Solution (PDF)

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• HW 02 (PDF)
  Solution (PDF)

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• group Working with Representations on the Ring (PDF) (solution)

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• HW 03 (PDF)
  Solution (PDF)

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• group Wavefunctions on a Quantum Ring (PDF) (solution)
• group Histograms for the Quantum Ring (PDF) (solution)

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

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

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• HW 04 (PDF)
  Solution (PDF)

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• face Classical Orbits Equation Sheet (PDF)
• face Quantum Ring Equation Sheet (PDF)
• face Classical Orbits Summary (PDF)

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• group Visualizing Approximations Due to Power Series (PDF)
• group Graphs of Power Series (PDF) (solution)
• computer Approximating Functions with Power Series (PDF)

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• group Power Series Solution of ODEs: Math Example (PDF) (solution)

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• face Series Solutions of Legendre's Equation (PDF)

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• face Legendre Polynomials Lecture (PDF)

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• HW 05 Practice (PDF)
  Solution (PDF)

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• HW 05 (PDF)
  Solution (PDF)

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• face Sturm-Liouville Theorems

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

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• group Quantum Cylinder (PDF)

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• HW 06 (PDF)
  Solution (PDF)

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• computer Visualizing Spherical Harmonics (PDF)
• computer Visualizing Combinations of Spherical Harmonics (PDF)
• group Spherical Harmonics on a Balloon

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

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• HW 07 Practice (PDF)
  Solution (PDF)

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• HW 07 (PDF)
  Solution (PDF)

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• group Matrix Representation of Angular Momentum (PDF) (solution)

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• face Angular Momentum Commutation Relations: Lecture (PDF)

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• group Raising and Lowering Operators for Spin (PDF)

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• group Quantum Particle on a Unit Sphere in Dirac Notation

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• HW 08 Practice (PDF)
  Solution (PDF)

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• HW 08 (PDF)
  Solution (PDF)

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• computer Visualizing Radial Wave Functions

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• group Hydrogen Probabilities in Matrix Notation (PDF) (solution)
• group Quantum Calculations on the Hydrogen Atom

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• HW 09 Practice (PDF)
  Solution (PDF)

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• HW 09 (PDF)
  Solution (PDF)

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• computer Visualization of Quantum Probabilities for the Hydrogen Atom (PDF)

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• group Probability of Finding an Electron Inside the Bohr Radius

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

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• Midterm Redo (PDF)
  Solution (PDF)

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• HW 10 Practice (PDF)
  Solution (PDF)

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• HW 10 (PDF)
  Solution (PDF)

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