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This article is cited in 6 scientific papers (total in 6 papers)
Essential and discrete spectra of the three-particle Schrödinger operator on a lattice
Yu. Kh. Eshkabilov, R. R. Kucharov Mirzo Ulugbek National University of Uzbekistan, Tashkent,
Uzbekistan
Abstract:
We study the position of the essential spectrum of a three-body Schrödinger operator $H$. We evaluate the lower boundary of the essential spectrum of $H$ and prove that the number of eigenvalues located below the lower edge of the essential spectrum in the $H$ model is finite.
Keywords:
essential spectrum, discrete spectrum, lower boundary of the essential spectrum, Schrödinger operator.
Received: 01.04.2011 Revised: 01.07.2011
Citation:
Yu. Kh. Eshkabilov, R. R. Kucharov, “Essential and discrete spectra of the three-particle Schrödinger operator on a lattice”, TMF, 170:3 (2012), 409–422; Theoret. and Math. Phys., 170:3 (2012), 341–353
Linking options:
https://www.mathnet.ru/eng/tmf6775https://doi.org/10.4213/tmf6775 https://www.mathnet.ru/eng/tmf/v170/i3/p409
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Abstract page: | 620 | Full-text PDF : | 193 | References: | 111 | First page: | 19 |
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