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Fundamental Poisson brackets
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Classroom Contents
Poisson Brackets, Non-Canonical Hamiltonian Systems and Euler's Rigid Body Equations
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- 1 Poisson bracket introduction
- 2 Poisson bracket in symplectic notation
- 3 Abstract algebra
- 4 Lie algebra properties
- 5 Relevance for Hamiltonian systems
- 6 Jacobi identity usefulness
- 7 Fundamental Poisson brackets
- 8 Non-canonical Hamiltonian systems
- 9 Euler's free rigid body equations as Hamiltonian
- 10 Angular momentum sphere and energy ellipsoid
