H = (p[tex]\stackrel{2}{x}[/tex])/2m + (p[tex]\stackrel{2}{y}[/tex])/2m + ap

_{x}p

_{y}+ U(x,y)

Obtain the Hamiltonian equations of motion. Find the corresponding Lagrange function and Lagrange equations.

Would it be p

_{x}= dH/dp

_{y}(of course it would be partial)

and p

_{y}= - dH/dp

_{x}?

and how do we take into account the potential?