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Spectrum of a model three-particle Schrödinger operator

Yu. Kh. ÈshkabilovFaculty of Mechanics and Mathematics, National University of Uzbekistan, Tashkent, Uzbekistan
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We study the spectrum of a model three-particle Schrödinger operator H(ε), ε > 0. We prove that for a sufficiently small ε > 0, this operator has no bound states and no two-particle branches of the spectrum. We also obtain an estimate for the small parameter ε.

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