Note on the spectrum of discrete Schrödinger operators - Collections

＜journal article＞
Note on the spectrum of discrete Schrödinger operators

Creator	Author PID K002717 Creator Name Hiroshima, Fumio 廣島, 文生ヒロシマ, フミオ
	Creator Name Sasaki, Itaru 佐々木, 格ササキ, イタル
	Author PID K002498 Creator Name Shirai, Tomoyuki 白井, 朋之シライ, トモユキ
	Creator Name Suzuki, Akito 鈴木, 章斗スズキ, アキト
Language	English
Publisher	Faculty of Mathematics, Kyushu University
Publisher	九州大学大学院数理学研究院
Date	2012-10
Source Title	Journal of Math-for-Industry (JMI)
Vol	4
Issue	B
First Page	105
Last Page	108
Publication Type	Version of Record
Access Rights	open access
Related DOI	JMI ; 2012B-4
Related DOI	Journal of Math-for-Industry \|\| 4(B) \|\| p105-108
	JMI \|\| 4(B) \|\| p105-108
	http://gcoe-mi.jp/
Related URI	Journal of Math-for-Industry \|\| 4(B) \|\| p105-108
	JMI \|\| 4(B) \|\| p105-108
	http://gcoe-mi.jp/
Relation	JMI ; 2012B-4
	Journal of Math-for-Industry \|\| 4(B) \|\| p105-108
	JMI \|\| 4(B) \|\| p105-108
	http://gcoe-mi.jp/
Abstract	The spectrum of discrete Schrödinger operator L + V on the d-dimensional lattice is considered, where L denotes the discrete Laplacian and V a delta function with mass at a single point. Eigenvalues o...f L + V are specified and the absence of singular continuous spectrum is proven. In particular it is shown that an embedded eigenvalue does appear for d ≥ 5 but does not for 1 ≤ d ≤ 4.show more

File	FileType	Size	Views	Description
2012B-4	pdf	111 KB	186

Record ID	1397706
Peer-Reviewed	Refereed
Subject Terms	discrete Schrödinger operator
Subject Terms	rank-one perturbation
ISSN	1884-4774
NCID	AA12444018
Notes	MI: Global COE Program Education-and-Research Hub for Mathematics-for-Industry
Notes	グローバルCOEプログラム「マス･フォア･インダストリ教育研究拠点」
Type	学術雑誌論文
Created Date	2014.01.07
Modified Date	2020.12.15