Email this article Spectrum of a model three-particle Schrödinger operator
- Authors: Èshkabilov Y.K.1
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Affiliations:
- Faculty of Mechanics and Mathematics
- Issue: Vol 186, No 2 (2016)
- Pages: 268-279
- Section: Article
- URL: https://journals.rcsi.science/0040-5779/article/view/170420
- DOI: https://doi.org/10.1134/S0040577916020100
- ID: 170420
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Abstract
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.
About the authors
Yu. Kh. Èshkabilov
Faculty of Mechanics and Mathematics
Author for correspondence.
Email: yusup62@mail.ru
Uzbekistan, Tashkent
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