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A Classical Mechanical Road to Relativity and Quantum Theory
Honors Physics Colloquium
2016 Spring PHYS 3922H

Textbook "A Classical Mechanical Road to Relativity and Quantum Theory" (2016)  
Unit 1.  Classical axioms, geometry, and dynamics
Unit 2.  Oscillation and Resonance

Textbook "Classical Mechanics with a BANG!" (2015) Detailed Listing  
Unit 1.  Review of velocity, momentum, energy, and fields
Unit 2.  Lagrangian and Hamiltionian mechanics
Unit 3.  General Curvilinear Coordinate transformations
Unit 4.  Oscillation and waves
Unit 5.  Orbits and scattering
Unit 6.  Rigid and semi-rigid bodies
Unit 7.  Action and functional variation
Unit 8.  Advanced Topics
Appendix K.  Astronomical Constants

2016 Lectures 2016 Detailed Lecture Listing
Lectures 1 & 2.  1st axioms and theorems of classical mechanics I. & II.    (1/19/2016 View on YouTube & 1/21/2016 View on YouTube)
     Graph Paper: R for display on right side (i.e. Even numbered pages)
           SUVVW To Fit 8x10   SUVVW To Fit 8x10R   SUV VW 240x80   SUVVW 240x80R
Lectures 3 & 4.  Analysis of 1D 2-Body Collisions I. & II.    (1/26/2016 View on YouTube & 1/28/2016 View on YouTube)
     Graph Paper: Fine Protractor
Lecture 3-4 (Extended).  Analysis of 1D 2-Body Collisions III.    (2/2/2016 View on YouTube)
     Graph Paper: Fine Protractor
Lecture 5 & 6.  Kinetic Derivation of 1D Potentials and Force Fields I & II.    (2/4/2016 View on YouTube) & (2/9/2016 View on YouTube)
Lecture 7 & 8  Introducing Lightwave Fourier Analysis I & II    (2/9/2016 View on YouTube  &  (2/10/2016 View on YouTube)
Lecture 9.  Fractal behavior in matter-wave “Tiny-Big-Bang” (2/16/2016)   View on YouTube
Lecture 10.  Dynamics of Potentials and Force Fields (2/18/2016)   View on YouTube
Lecture 11.   Geometry of common power-law potentials (2/23/2016)   View on YouTube
     Graph Paper: Fine Protractor
Lecture 12.  Kepler Geometry of IHO (Isotropic Harmonic Oscillator) Elliptical Orbits (2/25/2016)   View on YouTube
           Kepler Geometry of IHO (Isotropic Harmonic Oscillator) Elliptical Orbits (Advanced & Supplemental) (2/25/2016)  
Lecture 13 & 14  Complex Variables, Series, and Field Coordinates I & II    (3/1/2016 View on YouTube  &  (3/3/2016 View on YouTube)
Lecture 15.  Introduction to classical oscillation and resonance (3/8/2016)   View on YouTube
Lecture 16.  Introduction to coupled oscillation and eigenmodes I. (3/10/2016)   View on YouTube
Lecture 17.  Introduction to coupled oscillation and eigenmodes II. (3/15/2016)   View on YouTube
Lecture 17 (Extra)  Matrix algebra of quantum 2-state eigenmodes and dynamics (3/xx/2016)  
Lecture 18.  Mechanical analogs of quantum 2-state eigenmodes and dynamics (3/17/2016)   View on YouTube
Lecture 19 (Extra Topics)  Spinor-Vector relations and 2D-HO polarization dynamics (3/22/2016 Spring Break)  
Lecture 20 (Extra)  Parametric Resonance and Multi-particle Wave Modes (3/28/2016)  
Lecture 21.  CN-Symmetric Wave Modes (3/29/2016)   View on YouTube
Lecture 21 (Extra)  CN-Symmetric Wave Modes (3/xx/2016)  
Lecture 22.  CN-Symmetric Wave Modes and 2-CW Algebra and Geometry (3/31/2016)   View on YouTube
Lecture 23.  : Relativistic wave mechanics I. - 1st-order Doppler shifts (4/5/2016)   View on YouTube
Lecture 24.  : Relativistic wave mechanics II. 2nd-order effects (4/7/2016)   View on YouTube
Lecture 25.  : Relativistic wave mechanics III. 2nd-order effects (4/12/2016)   View on YouTube
Lecture 26.  : Relativistic wave mechanics IV. Coordinate geometry (4/14/2016)   View on YouTube
Lecture 27.  : Relativistic wave mechanics V. Coordinate geometry and Applications I. (4/19/2016)   View on YouTube
Lecture 28.  : Relativistic wave mechanics VI. Velocity geometry and Applications II. (4/21/2016)   View on YouTube
Lecture 29.  : Relativistic wave mechanics VII. Space-time geometry and Applications III. (4/26/2016)   View on YouTube
Lecture 30.  : Relativistic quantum mechanics - Basic theory and Applications IV. (4/28/2016)   View on YouTube
Lecture 31.  : Dynamics I. - Quantizing wave variables of phase and amplitude (5/3/2016)   View on YouTube
Lecture 32.  : Dynamics II. - Spectroscopy, transitions, and acceleration (5/5/2016)   View on YouTube

Assignments
Exercise 1.  Due Tues. (1/26/2016)  
     Graph Paper for Ex 1.4.2 		Exercise 1.3.1 and 1.4 Solutions  
Exercise 2.  Due Tues. (2/2/2016)   Exercise 2.1 Solutions  
Exercise 3.  Due Thur. (2/11/2016)   Exercise 3. Solutions  
Exercise 4.  Due Thur. (2/18/2016)   Exercise 4. Solutions  
Exercise 5.  Due Thur. (2/25/2016)   Exercise 5. Solutions  
Exercise 6.  Due Thur. (3/3/2016)   Exercise 6. Solutions  
Exercise 7.  Due Thur. (3/10/2016)  
     Graph Paper for xy VxVy Phasor Plots: Classic, New , Plus 		Exercise 7. Solutions  
Exercise 8.  Due Thur. (3/31/2016)   Exercise 8. Solutions  
Exercise 9.  Due Thur. (4/7/2016)  
     Graph Paper: Space-Time (x,t),
          Frequency "PerTime" vs Wavenumber "PerSpace"(к,υ) 		Exercise 9. Solutions  
Exercise 10.  Due Thur. (4/14/2016)  
     Graph Paper: Blank Grid 		Exercise 10. Solutions  
Exercise 11.  Due Thur. (4/21/2016)  
     Graph Paper: Litehouse's Frame  Ship's Frame 		Exercise 11. Solutions  
Exercise 12.  Due Thur. (4/28/2016)  
     RelaWavity: Minkowski Multi-Plots (u/c = -0.25) 		Exercise 12. Solutions  
Exercise 13.  Due Tue. (5/5/2016)  
      Protractor Graph Paper 		Exercise 13. Solutions  

Listing of Other Classes
2012 PHYS 3614 Modern Physics
2013 PHYS 5093 Group Theory in Quantum Mechanics
2013 PHYS 5103 Advanced Mechanics
2014 PHYS 5513 Atomic, Molecular, and Optical Physics
2014 PHYS 5103 Advanced Mechanics
2015 PHYS 5093 Group Theory in Quantum Mechanics
2015 PHYS 5103 Advanced Mechanics

Related Papers & Talks
Fractions - Lester. R. Ford, Am. Math. Monthly 45, 586 (1938)
Trebuchet vs Flinger
Trebuchet - UAF 9/9/2004
Pirelli Relativity Challenge - Milano, Italy 2005
Relativity Lecture (Unit_8) - Harvard 2010
Weapons of Math Instruction - INBRE Workshop 2012
Quantum Revivals of Morse Oscillators and Farey-Ford Geometry - 2013
Special Relativity and Quantum Theory by Ruler and Compass - Current draft
Relawavity: Learning some Secrets of Relativity, Pseudo-relativity, and Quantum Theory
- INBRE Workshop 2014  View on YouTube
EVENSON’S LASERS AND OCCAM’S RAZORS:
Some dirty little geometric secrets of relativity and quantum theory
- UAF Colloquium 11/14/2014  View on YouTube
DAMOP Annual Meeting Web Resources - OSU Columbus, OH 6/10/2015

LearnIt - Physics Web Applications

Comprehensive Listing of Harter-Soft Web Resources for Physics