Vol 1 - L D Landau, E.M. Lifshitz - Mechanics · Problem 42.1

The Canonical Equations

Physics — Landau & Lifshitz · poisson-brackets

Problem

Determine the Poisson brackets formed from the Cartesian components of the momentum

\mathbf{p}

and the angular momentum

\mathbf{M} = \mathbf{r} \times \mathbf{p}

of a particle.