Poisson bracket

Layer 0 — Mathematicsin the symplectic-geometry subtree

Bilinear, skew, Leibniz, Jacobi-satisfying bracket on C^∞(M) induced by ω: {f, g} = ω(X_f, X_g) = X_g(f) = –X_f(g). Quantisation replaces {·,·} by (iħ)⁻¹[·,·].

Related concepts

Hamiltonian vector field
Symplectic form
Action-angle coordinates

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