Definition of Poisson bracket in English:

Poisson bracket

noun

Physics Mathematics
  • A function [u, v] of two dynamical variables u(p₁, p₂,…pₙ, q₁, q₂,…qₙ) and v(p₁, p₂,…pₙ, q₁, q₂,…qₙ) equal to ∑n r = 1 ∂u/∂qr ∂v/∂pr − ∂u/∂pr ∂v/∂qr.

Origin

Early 20th century.