The existence and location of eigenvalues of the one particle discrete Schroedinger operators

Autor:	Lakaev, Saidakhmat N., Ozdemir, Ender
Rok vydání:	2015
Předmět:	Mathematics - Spectral Theory Mathematical Physics Primary: 81Q10 Secondary: 35P20 47N50
Druh dokumentu:	Working Paper
Popis:	We consider a quantum particle moving in the one dimensional lattice Z and interacting with a indefinite sign external field v. We prove that the associated discrete Schroedinger operator H can have one or two eigenvalues, situated as below the bottom of the essential spectrum, as well as above its top. Moreover, we show that the operator H can have two eigenvalues outside of the essential spectrum such that one of them is situated below the bottom of the essential spectrum, and other one above its top. Comment: 11 pages, 1 figure
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1505.03645 Zobrazit plný text záznamu View this record from Arxiv