Stokes’ phenomenon and the absolutely continuous spectrum of one-dimensional Schrödinger operators

It is well known that the Airy functions, Ai(− x− μ) and Bi(− x− μ), form a fundamental set of solutions for the differential equation Lu(x)≔−u″(x)−xu(x)=μu(x), 0⩽x

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Bibliographische Detailangaben
Veröffentlicht in:	Journal of computational and applied mathematics 2004-10, Vol.171 (1), p.247-264
Hauptverfasser:	Gilbert, D.J., Wood, A.D.
Format:	Artikel
Sprache:	eng
Schlagworte:	Absolutely continuous spectrum Exact sciences and technology Liouville-Green approximation Mathematical analysis Mathematics One-dimensional Schrödinger operators Operator theory Ordinary differential equations Sciences and techniques of general use Stokes’ phenomena
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Beschreibung
Zusammenfassung:	It is well known that the Airy functions, Ai(− x− μ) and Bi(− x− μ), form a fundamental set of solutions for the differential equation Lu(x)≔−u″(x)−xu(x)=μu(x), 0⩽x
ISSN:	0377-0427 1879-1778
DOI:	10.1016/j.cam.2004.01.012