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PHYS 5103: Advanced Mechanics (Fall 2015, University of Arkansas). 2015 Fall Physics Lectures from the University of Arkansas - Fayetteville, AR.
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Description
These videos are a component of the graduate course PHYS 5103 - "Advanced Mechanics" using the text "Classical Mechanics with a Bang!", both developed by Prof. William G. Harter. The class provides a geometric approach to classical mechanics. Geometry helps to clarify the calculus and physics of mechanics and shows that the symmetry principles behind classical theory also underlie quantum theory.
Course content
- Lecture 01 – Axiomatic Development of Classical Mechanics Unlimited
- Lecture 02 – Analysis of 1D 2-Body Collisions I Unlimited
- Lecture 03 – Analysis of 1D 2-Body Collisions II Unlimited
- Lecture 04 – Kinetic Derivation of 1D Potentials and Force Fields Unlimited
- Lecture 05 – Dynamics of Potentials and Force Fields Unlimited
- Lecture 06 – Geometry of Common Power-law Potentials I Unlimited
- Lecture 07 – Geometry of Common Power-law Potentials II Unlimited
- Lecture 08 – Kepler Geometry of Isotropic Harmonic Oscillator (IHO) Elliptical Orbits Unlimited
- Lecture 09 – Quadratic Form Geometry and Development of Mechanics of Lagrange and Hamilton Unlimited
- Lecture 10 – Equations of Lagrange and Hamilton Mechanics in Generalized Curvilinear Coordinates Unlimited
- Lecture 11 – Hamiltonian vs. Lagrange Mechanics in Generalized Curvilinear Coordinates Unlimited
- Lecture 12 – Poincare, Lagrange, Hamiltonian, and Jacobi Mechanics Unlimited
- Lecture 13 – Complex Variables, Series, and Field Coordinates I Unlimited
- Lecture 14 – Complex Variables, Series, and Field Coordinates II Unlimited
- Lecture 15 – Introducing GCC Lagrangian a la Trebuchet Dynamics Unlimited
- Lecture 16 – GCC Lagrange and Riemann Equations for Trebuchet Unlimited
- Lecture 17 – Hamilton Equations for Trebuchet and Other Things Unlimited
- Lecture 18 – Riemann-Christoffel Equations and Covariant Derivative Unlimited
- Lecture 19 – Electromagnetic Lagrangian and Charge-field Mechanics Unlimited
- Lecture 20 – Introduction to Classical Oscillation and Resonance Unlimited
- Lecture 21 – Introduction to Coupled Oscillation and Eigenmodes Unlimited
- Lecture 22 – Introduction to Spinor-Vector Resonance Dynamics Unlimited
- Lecture 23 – U(2)~R(3) Algebra/Geometry in Classical or Quantum Theory Unlimited
- Lecture 24 – Parametric Resonance and Multi-particle Wave Modes Unlimited
- Lecture 25 – Introduction to Orbital Dynamics Unlimited
- Lecture 26 – Geometry and Symmetry of Coulomb Orbital Dynamics I Unlimited
- Lecture 27 – Geometry and Symmetry of Coulomb Orbital Dynamics II Unlimited
- Lecture 28 – Multi-particle and Rotational Dynamics Unlimited
- Lecture 29 – Classical Constraints: Comparing Various Methods Unlimited
- Lecture 30 – Relawavity and a Novel Introduction to Relativistic Mechanics I Unlimited
- Lecture 31 – Relawavity and a Novel Introduction to Relativistic Mechanics II Unlimited
Instructor
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