## Classical Mechanics

**Classical Mechanics (Fall 2007, Stanford Univ.)**. Instructor: Professor Leonard Susskind. Our exploration of the theoretical underpinnings of
modern physics begins with classical mechanics, the mathematical physics worked out by Isaac Newton (1642-1727) and later by Joseph Lagrange (1736-1813) and
William Rowan Hamilton (1805-1865). We will start with a discussion of the allowable laws of physics and then delve into Newtonian mechanics.
We then study three formulations of classical mechanics respectively by Lagrange, Hamiltonian and Poisson. Throughout the lectures we will focus on
the relation between symmetries and conservation laws.
(from **theoreticalminimum.com**)

Lecture 1 - State diagrams and the nature of physical lawsA general discussion of the nature of the laws of physics and in particular classical mechanics. |

Lecture 2 - Newton's laws, principle of least actionForce and acceleration, Newton's laws, Kinetic energy and potential energy, Principle of least action. |

Lecture 3 - Euler-Lagrange equations, symmetry and conservation lawsEuler-Lagrange equations, Canonical momentum, Momentum conservation, Symmetry and conservation laws. |

Lecture 4 - Symmetry and conservation lawsThis lecture focuses on the relation between continuous symmetries of the Lagrangian and conserved quantities. |

Lecture 5 - Lagrangians and HamiltoniansSimple pendulum, Hamiltonian, kinetic and potential energy, Double pendulum, Hamiltonian formulation. |

Lecture 6 - Hamilton's equationsEnergy conservation, Phase space, Canonical momentum, Poisson bracket, Hamilton's equations. |

Lecture 7 - Liouville's theoremLiouville's theorem, Phase space, Magnetic field, Incompressible flow in phase space. |

Lecture 8 - Motion in an electromagnetic fieldLeast Action, Lorentz force equation, Electromagnetic equation of motion, Vector potential, Symmetries and conservation laws, Poisson brackets. |

Lecture 9 - Poisson brackets formulationPoisson brackets, Canonical transformation, Phase space, Generator function. |

References |

Classical Mechanics (Fall, 2007) | The Theoretical MinimumOur exploration of the theoretical underpinnings of modern physics begins with classical mechanics, the mathematical physics worked out by Isaac Newton (1642 - 1727). |

Classical Mechanics Lecture NotesClassical Mechanics. Professor Leonard Susskind. The subject of this course is the relationship between symmetry and conservation laws. |