On the finiteness of the discrete spectrum of a 3x3 operator matrix

Autor:	Rasulov, Tulkin H.
Rok vydání:	2016
Předmět:	Mathematics - Spectral Theory Mathematics - Functional Analysis
Zdroj:	Methods Funct. Anal. Topology, Vol. 22 (2016), no. 1, 48-61
Druh dokumentu:	Working Paper
Popis:	An operator matrix $H$ associated with a lattice system describing three particles in interactions, without conservation of the number of particles, is considered. The structure of the essential spectrum of $H$ is described by the spectra of two families of the generalized Friedrichs models. A symmetric version of the Weinberg equation for eigenvectors of $H$ is obtained. The conditions which guarantee the finiteness of the number of discrete eigenvalues located below the bottom of the three-particle branch of the essential spectrum of $H$ is found. Comment: Published in Methods of Functional Analysis and Topology (MFAT), available at http://mfat.imath.kiev.ua/article/?id=844
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1609.04277 Zobrazit plný text záznamu View this record from Arxiv