"Exact WKB integration'' of polynomial 1D Schrödinger (or SturmLiouville) problem
Abstract
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 BohrSommerfeld quantization conditions which can also be viewed as a BetheAnsatz system of equations that will "solve" the general polynomial 1D Schrödinger problem.
 Publication:

arXiv eprints
 Pub Date:
 January 2002
 DOI:
 10.48550/arXiv.mathph/0201052
 arXiv:
 arXiv:mathph/0201052
 Bibcode:
 2002math.ph...1052V
 Keywords:

 Mathematical Physics;
 Mathematics  Mathematical Physics
 EPrint:
 latex txt12.tex, 4 files, 3 figures, 18 pages Differential equations and Stokes phenomenon Groningen, The Netherlands May 2830 2001 [SPhTT01/146]