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Investigation of the spectrum of a model operator in a Fock space. (English. Russian original) Zbl 1183.81066
Summary: 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 $H$. In an erratum [Theor. Math. Phys. 162, No. 2, 254 (2009); translation from Teor. Mat. Fiz. 162, No. 2, 304 (2009)] two misprints have been corrected.

81Q10Selfadjoint operator theory in quantum theory, including spectral analysis
81V70Many-body theory; quantum Hall effect
Full Text: DOI
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