Growth order of eigenfunctions of Schrödinger operators with potentials admitting some integral conditions. I. General theory

Autor:	Masaharu Arai, Jun Uchiyama
Rok vydání:	1996
Předmět:	symbols.namesake General theory General Mathematics media_common.quotation_subject Mathematical analysis symbols Order (ring theory) Eigenfunction Infinity Schrödinger's cat Mathematics Mathematical physics media_common
Zdroj:	Publications of the Research Institute for Mathematical Sciences. 32:581-616
ISSN:	0034-5318
DOI:	10.2977/prims/1195162713
Popis:	In this paper we consider the sharp estimates of the growth orders of the eigenfunctions of the Schrodinger operators with potentials oscillating violently at infinity. We make use of the modified Kato's method (Comm. Pure Appl. Math., 12 (1959), 403-425) and we apply the ideas of J. Uchiyama and O. Yamada (Publ. RIMS, Kyoto Univ., 26 (1990), 419-449). Applications will be given in the next paper [2] in this issue.
Databáze:	OpenAIRE
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