Geodesic
A Model in the Theory of Perturbations of the Essential Spectrum of Multiparticle Operators
Matematičeskie zametki, Tome 73 (2003) no. 4, pp. 556-564

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We find the continuous spectrum of the model Schrödinger operator acting in the direct sum of Hilbert spaces of $n$-particle states, $n=0,1,2,3$. 
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S. N. Lakaev; T. H. Rasulov. A Model in the Theory of Perturbations of the Essential Spectrum of Multiparticle Operators. Matematičeskie zametki, Tome 73 (2003) no. 4, pp. 556-564. http://geodesic.mathdoc.fr/item/MZM_2003_73_4_a6/