Study of classical and semi-classical integrable systems

Objective

Research objectives and content
The first step is to understand the geometry and dynamics of untegrable hamiltowian systems near a singular leave of the lagrangean poliation. In other words, this concerns the generalization of action-angle coordinates as introduced by Lionville and Arnold.
Second objective is to adapt these results to quantum systems, using microlocal semi-classical analysis. This should lead to a generalization of the 1-Dimensional case treated by Y.Colin de VerdiUre & Bernard Parisse - this is the most innovative part.
Training content(objective,benefit and expected impact)
Being already embarked in a PHD in France, I am sure to find in Pr.Duitermaat in Utrecht an ideal complement to Colin de VerdiUre. I expect to benefit from Duistermaat's great knowledge to write an intersting dissertation. Furthermore, I expect to develop intellectual mobility, ability to talk about my results to a wider international audience and to stimulate the scientific cooperation between Utrecht and Grenoble.

Fields of science

• natural sciences › mathematics › pure mathematics › geometry

Programme(s)

• FP4-TMR - Specific research and technological development programme in the field of the training and mobility of researchers, 1994-1998

Topic(s)

• 0302 - Post-doctoral research training grants
• TM22 - Geometry and Topology

Call for proposal

Data not available

Funding Scheme

RGI - Research grants (individual fellowships)

Coordinator

UTRECHT UNIVERSITY

Address

6,budapestlaan 6
3508 TA Utrecht
Netherlands

Participants (1)

Not available

France