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

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

2008-01-31

arxiv.org/abs/0801.4882v2

Physics

Mathematical Physics

~40 pages

Scientific paper

We extend to the semi-classical setting the Maupertuis-Jacobi correspondance for a pair of hamiltonians $(H(x,hD_x), {\cal H}(x,hD_x)$. If ${\cal H}(p,x)$ is completely integrable, or has merely has invariant diohantine torus $\Lambda$ in energy surface ${\cal E}$, then we can construct a family of quasi-modes for $H(x,hD_x)$ at the corresponding energy $E$. This applies in particular to the theory of water-waves in shallow water, and determines trapped modes by an island, from the knowledge of Liouville metrics.

Affiliated with

Also associated with

No associations

Rating

The Semi Classical Maupertuis-Jacobi Correspondance for Quasi-Periodic Hamiltonian Flows does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Semi Classical Maupertuis-Jacobi Correspondance for Quasi-Periodic Hamiltonian Flows, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Semi Classical Maupertuis-Jacobi Correspondance for Quasi-Periodic Hamiltonian Flows will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-204429