Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2011 Issue 2(23), Pages 170–180
(Mi vsgtu903)
Procedings of the 2nd International Conference "Mathematical Physics and its Applications" Theoretical and Mathematical Physics
The Faddeev equation and location of the essential spectrum of a three-particle model operator T. Kh. Rasulov ab ,
A. A. Rakhmonov a a Dept. of Algebra and Analysis, Bukhara State University, Physics and Mathematics Faculty, Bukhara, Uzbekistan b Mathematical Institute, University of Bern, Faculty of Faculty of Science, Bern, Switzerland Abstract:
In this paper a model operator
$H$ associated to a system of three-particles on a lattice is considered. The location of the essential spectrum of
$H$ is described by the spectrum of channel operators. The Faddeev type equation for the eigenvectors of
$H$ is obtained.
Keywords:
model operator, essential spectrum, channel operator, Faddeev equation.
UDC:
517.984.5
MSC: Primary
81Q10 ; Secondary
35P20 ,
47N50 Original article submitted 21/XII/2010
revision submitted – 21/V/2011
DOI:
10.14498/vsgtu903
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