Yes, I've read this; I'm looking for something more detailed. The Hamiltonian in question yields a dimension-2 system of messy nonlinear differential equations that are, I think, non-separable. The numerical solutions need to be pretty precise because it's a chaotic system.
I'm trying to get a numerical solution for a hamiltonian mechanics problem. According to wikipedia, there's a method of solving the resulting differential equations called a symplectic integrator that's designed specifically for such problems, but my computational physics textbook doesn't...
Hey all,
According to my physics textbook, if the potential energy of a particle is a homogeneous function of the spatial coordinate r, one can transform r by some factor a and t by some factor b=a^(1-.5k) such that the Lagrangian of the particle is multiplied by a^k. I understand all of this...