|
This article is cited in 3 scientific papers (total in 3 papers)
Investigation of the spectrum of a model operator in a Fock space
T. H. Rasulov Samarkand State University, Samarkand, Uzbekistan
Abstract:
We consider a model operator $H$ corresponding to a quantum system with a nonconserved finite number of particles on a lattice. Based on an analysis of the spectrum of the channel operators, we describe the position of the essential spectrum of $H$. We obtain a Faddeev-type equation for the eigenvectors of $H$.
Keywords:
model operator, system with nonconserved finite number of particles, Faddeev equation, essential spectrum, channel operator.
Received: 17.11.2008 Revised: 12.02.2009
Citation:
T. H. Rasulov, “Investigation of the spectrum of a model operator in a Fock space”, TMF, 161:2 (2009), 164–175; Theoret. and Math. Phys., 161:2 (2009), 1460–1470
Linking options:
https://www.mathnet.ru/eng/tmf6429https://doi.org/10.4213/tmf6429 https://www.mathnet.ru/eng/tmf/v161/i2/p164
|
Statistics & downloads: |
Abstract page: | 516 | Full-text PDF : | 199 | References: | 89 | First page: | 7 |
|