Eigenvalue spacing for 1D singular Schrödinger operators

Autor:	Luc Hillairet, Jeremy L. Marzuola
Rok vydání:	2023
Předmět:	General Mathematics
Zdroj:	Asymptotic Analysis. 133:267-289
ISSN:	1875-8576 0921-7134
DOI:	10.3233/asy-221814
Popis:	The aim of this paper is to provide uniform estimates for the eigenvalue spacing of one-dimensional semiclassical Schrödinger operators with singular potentials on the half-line. We introduce a new development of semiclassical measures related to families of Schrödinger operators that provides a means of establishing uniform non-concentration estimates within that class of operators. This dramatically simplifies analysis that would typically require detailed WKB expansions near the turning point, near the singular point and several gluing type results to connect various regions in the domain.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::25b3bbd8d293cdb05b44da408558a2aa https://doi.org/10.3233/asy-221814 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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