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.
Definition of Poisson bracket in US 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.