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Teoreticheskaya i Matematicheskaya Fizika, 2016, Volume 186, Number 2, Pages 311–322
DOI: https://doi.org/10.4213/tmf8879 (Mi tmf8879) 		 
Spectrum of a model three-particle Schrödinger operator

Yu. Kh. Èshkabilov

Faculty of Mechanics and Mathematics, National University of Uzbekistan, Tashkent, Uzbekistan
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DOI: https://doi.org/10.4213/tmf8879
Abstract: We study the spectrum of a model three-particle Schrödinger operator $H(\varepsilon)$, $\varepsilon>0$. We prove that for a sufficiently small $\varepsilon>0$, this operator has no bound states and no two-particle branches of the spectrum. We also obtain an estimate for the small parameter $\varepsilon$.
Keywords: Schrödinger operator, spectrum, essential spectrum, discrete spectrum.
Received: 27.02.2015
Revised: 05.05.2015
English version:
Theoretical and Mathematical Physics, 2016, Volume 186, Issue 2, Pages 268–279
DOI: https://doi.org/10.1134/S0040577916020100
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Yu. Kh. Èshkabilov, “Spectrum of a model three-particle Schrödinger operator”, TMF, 186:2 (2016), 311–322; Theoret. and Math. Phys., 186:2 (2016), 268–279
Citation in format AMSBIB
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