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Legendre Transforms, Hamilton's Equations & Liouville's Theorem

Leonard SusskindDistinguishedStanford University

Felix Bloch Professor of Theoretical Physics

1:48:02·2011·undergraduate level

Transforms L(q, q̇) into H(q, p) on phase space and proves Liouville's theorem—showing phase-space volume is incompressible just like continuous information.

PhysicsClassical & Statistical MechanicsRelativity & CosmologyQuantum MechanicsHamiltonian Mechanics

(November 1, 2011) Leonard Susskind discusses the some of the basic laws and ideas of modern physics. In this lecture, he focuses on the motion of objects. He starts with a general example of a wedge on a frictionless plane and uses it as the building block for more complicated theory.

Source: Stanford via YouTubeWatch on YouTube
LecturerAll lecturers →
Leonard SusskindDistinguished

Felix Bloch Professor of Theoretical Physics, Stanford University

Father of string theory, holographic principle pioneer, and creator of Stanford's Theoretical Minimum series across classical, quantum, and relativistic physics.

3 courses · 34 lecturesCanon
Previous · Lecture 5

Continuous Symmetries & Emmy Noether's Theorem

Next · Lecture 7

Phase Space Dynamics, Hamiltonian Flow & Time-Reversibility

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