The Semi Classical Maupertuis-Jacobi Correspondance for Quasi-Periodic Hamiltonian Flows

Sergey Dobrokhotov, Michel Rouleux

We extend to the semi-classical setting the Maupertuis-Jacobi correspondance for a pair of hamiltonians $(H(x,h{D}_x),\mathcal{H}(x,h{D}_x)$. If $\mathcal{H}(p,x)$ is completely integrable,…