Hamiltonian physics can get complicated with its math. The good news is, there is a tool to drastically simplify all that abstract calculus into a kind of algebra: the Poisson bracket. In this video, we learn what Poisson brackets represent, how to use them to simplify problems, and their implications on symmetry and conservation.

Images generated by the phase plane plotter at aeb019.hosted.uark.edu/pplane.html by Ariel Barton

Textbook: Goldstein, Herbert, et al. Classical Mechanics. 3rd ed., Pearson Education Inc., 2002.

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