11-14 June 2019
Le Bois-Marie
Europe/Paris timezone

On the Resurgent WKB Analysis

12 Jun 2019, 16:45
1h
Centre de Conférences Marilyn et James Simons (Le Bois-Marie)

Centre de Conférences Marilyn et James Simons

Le Bois-Marie

35, route de Chartres 91440 Bures-sur-Yvette

Speaker

David Sauzin (CNRS - IMCCE - Paris Observatory - PSL University)

Description

I'll report on a work in progress with F. Fauvet (Strasbourg University) and R. Schiappa (IST Lisbon) about the WKB formal expansions solutions to the 1D stationary Schrödinger equation with polynomial coefficients. Our emphasis is on the coequational resurgent structure, in the sense of J. Écalle, which is a way of using the singularity structure in the Borel plane to access the connection formulae for the WKB solutions and the Voros data.

Primary author

David Sauzin (CNRS - IMCCE - Paris Observatory - PSL University)

Presentation Materials