Newton's laws, principle of least action

Classical Mechanics (Fall, 2007)

October 22, 2007

Consider Newton's law relating force and acceleration. Define kinetic energy and potential energy. Derive conservation of energy for a system of particles. Define the Lagrangian and derive the Principle of Least Action starting from Newton's Law. Newton's Law is local, but the Principle of Least Action is global.

  • Force and acceleration
  • Newton's second law
  • Kinetic energy and potential energy
  • Momentum and Newton's 2nd law
  • Definition of the Lagrangian
  • Definition of the action
  • Principle of least action
  • Phase space
  • Newton's three laws
  • Conservation of energy and momentum for an isolated system of particles