Description Usage Arguments Value Examples
Approximates Hamiltonian dynamics for some potential function and a L2-norm kinectic funcion, assuming H(q,p) = U(q) + K(p).
1 | hamiltonian_dynamics(U, q, p, L, eps, m)
|
U |
Potential function of the system. |
q |
Initial position vector. |
p |
Initial momentum vector. |
L |
Number of steps. |
eps |
Size of each step. |
m |
Mass vector. |
A list with the position 'q' and momentum 'p' at the end of the trajectory.
1 2 3 | U = function(x) exp(-0.5 * x^2) / sqrt(2 * pi)
hamiltonian_dynamics(U, -2, 0.8, 100, 0.1, 1)
hamiltonian_dynamics(U, -2, 0.85, 100, 0.1, 1)
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