Geodesic
Spectrum of a Model Operator in the Perturbation Theory of the Essential Spectrum
Teoretičeskaâ i matematičeskaâ fizika, Tome 144 (2005) no. 3, pp. 544-554 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider a model operator acting in a subspace of a Fock space and obtain a symmetrized analogue of the Faddeev equation. For the operator considered, we describe the position and the structure of its essential spectrum.
Keywords: creation and annihilation operators, essential spectrum, positive operator, compact operator. 
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G. R. Yodgorov; M. I. Muminov. Spectrum of a Model Operator in the Perturbation Theory of the Essential Spectrum. Teoretičeskaâ i matematičeskaâ fizika, Tome 144 (2005) no. 3, pp. 544-554. http://geodesic.mathdoc.fr/item/TMF_2005_144_3_a6/

[1] K. O. Fridrikhs, Vozmuschenie spektra operatorov v gilbertovom prostranstve, Mir, M., 1969

[2] R. A. Minlos, H. Spohn, “The three-body problem in radioactive decay: the case of one atom and at most two photons”, Topics in Statistical and Theoretical Physics, F. A. Berezin memorial Volume, AMS Transl. Ser. 2. Adv. Math. Sci., 177, eds. R. L. Dobrushin, R. A. Minlos, M. A. Shubin, A. M. Vershik, AMS, Providence, R.I., 1996, 159–193 | MR

[3] S. N. Lakaev, T. Kh. Rasulov, Matem. zametki, 73:4 (2003), 556–564 | DOI | MR | Zbl

[4] S. N. Lakaev, T. Kh. Rasulov, Funkts. analiz i ego prilozh., 37:1 (2003), 81–84 | DOI | MR | Zbl

[5] D. Mattis, Rev. Mod. Phys., 58 (1986), 361–379 | DOI | MR

[6] V. A. Malyshev, R. A. Minlos, Tr. semin. im. I. G. Petrovskogo, 1983, no. 9, 63–80 | MR | Zbl

[7] S. P. Merkurev, L. D. Faddeev, Kvantovaya teoriya rasseyaniya dlya sistem neskolkikh chastits, Nauka, M., 1985 | MR

[8] P. Khalmosh, Gilbertovo prostranstvo v zadachakh, Mir, M., 1970 | MR | Zbl