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The Efimov effect for a model “three-particle” discrete Schrödinger operator

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Abstract

We study the existence of an infinite number of eigenvalues for a model “three-particle” Schrödinger operator H. We prove a theorem on the necessary and sufficient conditions for the existence of an infinite number of eigenvalues of the model operator H below the lower boundary of its essential spectrum.

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Authors and Affiliations

  1. Ulugbek Uzbekistan National University, Tashkent, Uzbekistan

    Yu. Kh. Éshkabilov

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  1. Yu. Kh. Éshkabilov
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Correspondence to Yu. Kh. Éshkabilov.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 164, No. 1, pp. 78–87, July, 2010.

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Éshkabilov, Y.K. The Efimov effect for a model “three-particle” discrete Schrödinger operator. Theor Math Phys 164, 896–904 (2010). https://doi.org/10.1007/s11232-010-0071-x

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  • DOI: https://doi.org/10.1007/s11232-010-0071-x

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