Résurgence de Voros et périodes des courbes hyperelliptiques
Delabaere, Eric ; Dillinger, Hervé ; Pham, Frédéric
HAL, hal-01389261 / Harvested from HAL
Text on HAL

The aim of this article is to formulate in a geometrical way the master idea of Voros [ in Ann. Inst. Henri Poincaré, Sect. A 39, 211-238 (1983) ] : the solutions of the one dimensional stationary Schrödinger equation with a polynomial potential are exactly encoded in the complex domain by their WKB expansions (formal divergent expansions in powers of Planck’s constant) in a way which can be read in the geometry of periods of the differential form p d q ( q = position variable, ( p =classicial momentum).

Publié le : 1993-07-04
Classification:  [MATH]Mathematics [math] 
@article{hal-01389261,
     author = {Delabaere, Eric and Dillinger, Herv\'e and Pham, Fr\'ed\'eric},
     title = {R\'esurgence de Voros et p\'eriodes des courbes hyperelliptiques},
     journal = {HAL},
     volume = {1993},
     number = {0},
     year = {1993},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/hal-01389261}
}

Delabaere, Eric; Dillinger, Hervé; Pham, Frédéric. Résurgence de Voros et périodes des courbes hyperelliptiques. HAL, Tome 1993 (1993) no. 0, . http://gdmltest.u-ga.fr/item/hal-01389261/