Hamiltonian mechanics

Formulation of classical mechanics using momenta

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We include updates on Maupertuis's principle, Phase space, Poisson bracket, Hamilton–Jacobi equation, Symplectic manifold, Integrable system, Energy-based model, Canonical transformation, List of common coordinate transformations, Canonical coordinates, Tautological one-form, Symplectic integrator, Kolmogorov–Arnold–Moser theorem, Jacobi coordinates, Hitchin system, Phase-space formulation ... and more.

2019
Geometric mechanics
Foskett, Holm, and Tronci published research on geometric mechanics applications in quantum chemistry.
2018
Geometric mechanics
Gay-Balmaz and Yoshimura published work on geometric mechanics in thermodynamics.
2013
Geometric mechanics
Gay-Balmaz, Ratiu, and Tronci published research on geometric mechanics applications in liquid crystals.

This contents of the box above is based on material from the Wikipedia article Geometric mechanics, which is released under the Creative Commons Attribution-ShareAlike 4.0 International License.

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