and its
Classical Foundations
A Geometric Introduction to Analysis
of
Quantum Momentum, Energy, and Action
Spring 2012 PHYS-3614
2012 Text Topics
Unit 1.
Review of Classical Principles
Unit 2.
Relativity and Quantum Theory
Unit 3.
Oscillation and Wave Resonance
2012 Lecture Topics
Lecture 1.
Geometry of Galilean translation (A symmetry transformation)
(Ch. 1 and Ch. 2 of Unit 1)
Lecture 2.
Algebra, Geometry, and Physics of Momentum Conservation Axiom
(Ch. 3 of Unit 1)
Lecture 3.
The X-2 Superball pen-launcher
(Ch. 4 of Unit 1)
Lecture 4.
Multiple Collisions by Matrix Operator Products
(Ch. 5 of Unit 1)
Lecture 5.
Big mass-m1 in “force-field” of small rapidly bouncing ball m2
(Ch. 6 of Unit 1)
Lecture 6.
Potential Energy Geometry of Superballs and Related things
(Ch. 7 of Unit 1)
Lecture 7.
Multi-Body collisions, Superball-Super-Novae models, Freeway crashes
(Ch. 8 of Unit 1)
Lecture 8.
Geometry and Dynamics of Force and Potential Fields
(Mostly Ch. 9 of Unit 1)
Lecture 9.
The “freshman-physics-Earth” model(Highly idealized combo of fields 2. and 3.)
Lecture 10.
Geometry and Motion of Isotropic Harmonic Oscillators
(Ch. 9 and Ch. 11 of Unit 1)
Lecture 11.
Introduction to the Geometry and Motion of IHO
(contd. Ch. 11 of Unit 1)
Lecture 12.
Geometry and Motion of IHO II.
(contd. Ch. 11 of Unit 1)
Lecture 13.
Quadratic form geometry and mechanics of Lagrangian, Hamiltonian, and Estrangian
(Chapters 11-12 of Unit 1)
Lecture 14.
Quadratic form geometry and mechanics-Part 2.
(Ch. 12 of Unit 1)
Lecture 15.
Equations of Lagrangian and Hamiltonian classical universe
(Ch. 12 of Unit 1)
Lecture 16.
Lagrangian and Hamiltonian dynamics: Living with duality in GCC cells and vectors
(Ch. 12 of Unit 1)
Lecture 17.
Lagrangian and Hamiltonian dynamics: Part II.
(Ch. 12 of Unit 1)
Lecture 18.
Lagrangian and Hamiltonian dynamics: Part III.
(Ch. 12 of Unit 1)
(4.4.13)
Lecture 19.
Complex Variables, Series, and Field Coordinates Part I.
Lecture 20.
Complex Variables, Series, and Field Coordinates Part II.
Lecture 21.
2-Wave Interference: Phase and Group Velocity
(Ch. 0-1 of Unit 2)
Lecture 22.
Relativity of wave-optics and Lorentz Minkowski space-time and per-space-time frames
(Ch. 1-3 of Unit 2)
Lecture 23.
Relativity of lightwaves and Lorentz-Minkowski coordinates II.
(Ch. 2-4 of Unit 2)
Lecture 24.
Relativity of lightwaves and Lorentz-Minkowski coordinates III.
(Ch. 2-4 of Unit 2)
Lecture 25.
Relativity of lightwaves and Lorentz-Minkowski coordinates IV.
(Ch. 2-4 of Unit 2)
Supplemental: Lorentz Graph Paper
Lecture 26.
Introduction to Relativistic Classical and Quantum Mechanics
(Ch. 4-5 of Unit 2)
Lecture 27.
Relativity of transverse waves and 4-vectors
(Ch. 5-6 of Unit 2)
Lecture 28.
Relativistic geometry of 2-and-3-dimensional waves
(Ch. 6 Appendix 6B of Unit 2)
Lecture 29.
Relativity of interfering and galloping waves: SWR and SWQ I.
(Ch. 6 of Unit 2)
Lecture 30.
Relativity of interfering and galloping waves: SWR and SWQ II.
(Ch. 6 of Unit 2)
Lecture 31.
Relativity of interfering and galloping waves: SWR and SWQ III.
(Ch. 6 of Unit 2)
Lecture 32.
Relativity of interfering and galloping waves: SWR and SWQ IV.
(Ch. 6 of Unit 2)
Lecture 33.
Relativity of quantum collisions and energy momentum transfer
(Ch. 7 of Unit 2)
Lecture 34.
Serial Compton scattering and accelerating frames I.
(Ch. 7 of Unit 2)
Lecture 35.
Serial Compton scattering and accelerating frames II.
(Ch. 7-8 of Unit 2)
Lecture 36.
Introduction to classical oscillation and spectral resonance I.
(Ch. 1 of Unit 3)
Supplemental: Smith Chart
Lecture 37.
Classical oscillation and spectral resonance II.
(Ch. 1-2 of Unit 3)
(4.30.12)
Lecture 38.
Classical analogs for quantum resonance
(Ch. 3-6 of Unit 3)
(5.1.12)
Lecture 39.
U(2)-R(3) Symmetry for discrete quantum waves
(Ch. 4-8 of Unit 3)
(5.3.12)
Listings of Other Classes
2013 PHYS 5093 Group Theory in Quantum Mechanics
2013 PHYS 5103 Classical Mechanics
2014 PHYS 5513 Atomic, Molecular, and Optical Physics
Related Papers & Talks
Relativity Lecture (Unit_2) - Harvard 2010
Molecules and Molecular Spectroscopy - UA ModPhys 2013
Molecular Eigensolution Symmetry Analysis and Fine Structure - IJMS 2013