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Essential and discrete spectra of the three-particle Schrödinger operator on a lattice

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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.

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Authors and Affiliations

  1. Mirzo Ulugbek National University of Uzbekistan, Tashkent, Uzbekistan

    Yu. Kh. Eshkabilov & R. R. Kucharov

Authors
  1. Yu. Kh. Eshkabilov
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  2. R. R. Kucharov
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Correspondence to Yu. Kh. Eshkabilov.

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__________

Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 170, No. 3, pp. 409–422, March, 2012.

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Eshkabilov, Y.K., Kucharov, R.R. Essential and discrete spectra of the three-particle Schrödinger operator on a lattice. Theor Math Phys 170, 341–353 (2012). https://doi.org/10.1007/s11232-012-0034-5

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  • DOI: https://doi.org/10.1007/s11232-012-0034-5

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