Hamilton's Principal Function -- from Eric Weisstein's World of Physics

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Hamiltonian Mechanics

Hamilton's Principal Function

(1)

where , ..., are independent constants of integration and is a contact transformation generating function.

			(2)
			(3)
			(4)
			(5)
			(6)

where H is the Hamiltonian and L is the Lagrangian.

Contact Transformation, Generating Function

© 1996-2007 Eric W. Weisstein