Geodesic
Discrete spectrum of a~model operator in Fock space
Teoretičeskaâ i matematičeskaâ fizika, Tome 152 (2007) no. 3, pp. 518-527

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We consider a model describing a "truncated" operator (truncated with respect to the number of particles) acting in the direct sum of zero-, one-, and two-particle subspaces of a Fock space. Under some natural conditions on the parameters specifying the model, we prove that the discrete spectrum is finite.
Keywords: discrete spectrum, Fock space, compact operator, continuity in the uniform operator topology, Hilbert–Schmidt operator, Weinberg equation. 
@article{TMF_2007_152_3_a8,
     author = {T. H. Rasulov},
     title = {Discrete spectrum of a~model operator in {Fock} space},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {518--527},
     publisher = {mathdoc},
     volume = {152},
     number = {3},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2007_152_3_a8/}
}
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T. H. Rasulov. Discrete spectrum of a~model operator in Fock space. Teoretičeskaâ i matematičeskaâ fizika, Tome 152 (2007) no. 3, pp. 518-527. http://geodesic.mathdoc.fr/item/TMF_2007_152_3_a8/