2002/01/24 by A. Voros
Physics and Astronomy · Mathematics · #math-ph #math.MP
published as Proceedings ed. by BLJ Braaksma et al., World Scientific (2002) pp.293-308. · latex txt12.tex, 4 files, 3 figures, 18 pages Differential equations and Stokes phenomenon Groningen, The Netherlands May 28-30 2001 [SPhT-T01/146]
arxiv created 2002/01/24 · arxiv updated 2009/11/30
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.