Poisson Brackets

*To*: mathgroup at yoda.physics.unc.edu*Subject*: Poisson Brackets*From*: david at therch.chem.usu.edu (David Farrelly)*Date*: Sat, 3 Oct 92 08:20:05 -0600

I'm looking for a way to evaluate Poisson brackets symbolically. For example the PB of two componetnts of angular momentum J1, j2 is J3 [J1,J2]=J3. If I have a large expression that contains powers of components of several angular momenta then it is awkward to do PB by explicitly taking derivatives because one must then regroup the resulting expression in coordinates and momenta. So I want to program in the algebraic properties of PB, such as [uv,w]=[u,w]v + u[v,w] as well as the PB relations for angular momentum. Seems like it should be possible. Does anyone know if something like this exists or any ideas how to do this in Mma? Thanks david farrelly dept. of chemistry utah state university