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Hamiltonian mechanics is a reformulation of Lagrangian mechanics that uses momenta instead of velocities. It has applications in geometry, classical and quantum mechanics, and can be derived from the action principle or the Legendre transformation.
Learn about Hamiltonian mechanics, a formulation of classical mechanics based on the Hamiltonian function. Explore the concepts, equations, examples and applications of Hamiltonian mechanics in this online textbook.
Learn what Hamiltonian mechanics is, why it is important and how it differs from Lagrangian mechanics. Explore the geometric interpretation, phase space, Hamilton's equations and applications of Hamiltonian mechanics in physics.
Learn the basics of Lagrangian and Hamiltonian mechanics, a general scheme that includes Newtonian mechanics as a special case. The notes cover calculus of variations, D'Alembert's principle, Hamilton's principle, constraints, Poisson brackets, geodesic ow and more.
Learn how to generalize Newton's second law to Hamiltonian mechanics, which describes the state of a system in terms of coordinates and momenta. See the Legendre transformation, the Hamilton-Jacobi equation, and the Poisson bracket in this lecture by Prof. Goldstein.
Learn about Hamiltonian mechanics, a formulation of classical mechanics based on the Hamiltonian function and Hamilton's equations. Explore the Legendre transformation, the Routhian, the variable-mass systems, and the applications of Hamiltonian dynamics.
Hamilton theory – or more particularly its extension the Hamilton-Jacobi equations - does have applications in celestial mechanics, and of course hamiltonian operators play a major part in ….
