"Exact WKB integration'' of polynomial 1D Schrödinger (or Sturm-Liouville) problem
Voros, André
HAL, hal-00022102 / Harvested from HAL
Text on HAL
We review an "exact semiclassical" resolution method for the general stationary 1D Schrödinger equation with a polynomial potential. This method avoids having to compute any Stokes phenomena directly; instead, it basically relies on an elementary Wronskian identity, and on a fully exact form of Bohr--Sommerfeld quantization conditions which can also be viewed as a Bethe-Ansatz system of equations that will "solve" the general polynomial 1D Schrödinger problem.
Publié le : 2001-05-28
Classification:  [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph],  [MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA] 
@article{hal-00022102,
     author = {Voros, Andr\'e},
     title = {"Exact WKB integration'' of polynomial 1D Schr\"odinger (or Sturm-Liouville) problem},
     journal = {HAL},
     volume = {2001},
     number = {0},
     year = {2001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00022102}
}

Voros, André. "Exact WKB integration'' of polynomial 1D Schrödinger (or Sturm-Liouville) problem. HAL, Tome 2001 (2001) no. 0, . http://gdmltest.u-ga.fr/item/hal-00022102/