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Analytical Mechanics, Lesson 5: Gauge Theory, Coordinate Invariance, The Hessian condition, Energy

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Uploaded by on Aug 28, 2009

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This (long) video discusses:
1. Gauge Invariance=The invariance of the Equations of motion under certain transformations of the Lagrangian.
2. Coordinate Independence= The invariance of the Equations of motion under invertible differential coordinate transformation(known as diffeomorphisms).
3.The Hessian Condition= The condition in which we are able to determine the acceleration from knowledge of generalized coordinates and velocities.
4. We discuss the Hamiltonian Function and energy and their Relationship.

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  • That's not gauge invariance, that's just normal group invariance.

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