Geodesic
About the spectral properties of one three-partial model operator
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2020), pp. 3-10

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We investigate the structure of the essential spectrum of one of the three particle model operator $H$. We prove the existence of a negative eigenvalues of the operator H and obtaine the estimate for a number of negative eigenvalues of the operator $H$.
Keywords: essential spectrum, discrete spectrum, lower bound of the essential spectrum, three particle discrete operator. 
@article{IVM_2020_5_a0,
     author = {G. P. Arzikulov and Yu. Kh. Eshkabilov},
     title = {About the spectral properties of one three-partial model operator},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {3--10},
     publisher = {mathdoc},
     number = {5},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2020_5_a0/}
}
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G. P. Arzikulov; Yu. Kh. Eshkabilov. About the spectral properties of one three-partial model operator. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2020), pp. 3-10. http://geodesic.mathdoc.fr/item/IVM_2020_5_a0/