Apparaît dans la collection : Resurgence in Mathematics and Physics

I will report on a work in progress with F. FAUVET (Université de Strasbourg) and R. SCHIAPPA (University of 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.