Leonard Susskind discusses different particle transformations as well as how to represent and analyze them using tools like the Lagrangian. The lecture starts with a thorough review of symmetries and conservation laws. Energy conservation is shown to be a consequence of time translation symmetry and the Hamiltonian is introduced. Topics: - Recommended books - Superluminal neutrinos in the news - Review of symmetries and conservation laws - Active vs passive transformations - Review of momentum and angular momentum conservation and associated symmetries - Energy conservation as a consequence of time translation symmetry - Hamiltonian and energy conservation Recorded on October 17, 2011.
This is the first course in a collection of 6 core physics courses by renowned physicist Leonard Susskind's series, The Theoretical Minimum. 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. The last two lectures are devoted to electromagnetism and the application of the equations of classical mechanics to a particle in electromagnetic fields.