Expansion of eigenvalues of rank-one perturbations of the discrete bilaplacian

We consider the family $\hat h_\mu:=\hat\varDelta\hat \varDelta - \mu \hat v,$ $\mu\in\mathbb{R}, $ of discrete Schr\"odinger-type operators in $d$-dimensional lattice $\mathbb{Z}^d$, where $\hat \varDelta$ is the discrete Laplacian and $\hat v$ is of rank-one. We prove that there exist couplin...

Ausführliche Beschreibung

Bibliographische Detailangaben

Hauptverfasser:	Khalkhuzhaev, Ahmad, Kholmatov, Shokhrukh Yu, Pardabaev, Mardon
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Functional Analysis Mathematics - Mathematical Physics Mathematics - Spectral Theory Physics - Mathematical Physics
Online-Zugang:	Volltext bestellen
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!