The general 1D Schrödinger equation as an exactly solvable problem

Details The general 1D Schrödinger equation as an exactly solvable problem The general 1D Schrödinger equation as an exactly solvable problem

2004-12-14

arxiv.org/abs/math-ph/0412041v1

RIMS K\^oky\^uroku 1424 (2005) 214-231

Physics

Mathematical Physics

18 pages, 2 figures; proceedings, Recent trends in exponential asymptotics (RIMS, Kyoto 2004), to appear in RIMS Kokyuroku, 20

Scientific paper

We review an exact WKB resolution method for the stationary 1D Schr\"odinger equation with a general polynomial potential. This contribution covers already published material: we supply a commented summary here, stressing a few aspects which were less highlighted before. As some of our earlier papers needed later corrections, we also recapitulate these here in footnotes in the bibliography. The latter, not meant to be exhaustive, focuses on narrowly relevant works plus some broader ones that do offer more extensive bibliographies.

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