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About the Spectral Properties of One Three-Partial Model Operator

G. P. ArzikulovTashkent State Technical University named after Islam Karimov, 2 Universitetskaya str., Tashkent, 100097, Republic of UzbekistanYu. Kh. ÈshkabilovKarshi State University, 17 Kuchabog str., Karshi, 180100, Republic of Uzbekistan
Russian Mathematicsjournal2020en
ABI

Abstract

We investigate the structure of the essential spectrum of one three particle model operator H. We prove the existence of negative eigenvalues of the operator H and obtain the estimate for a number of negative eigenvalues of the operator H.

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