Asymptotic behavior of an eigenvalue of the two-particle discrete Schrödinger operator View Full Text


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Article Info

DATE

2012-06

AUTHORS

S. N. Lakaev, A. M. Khalkhuzhaev, Sh. S. Lakaev

ABSTRACT

We consider a two-particle discrete Schrödinger operator corresponding to a system of two identical particles on a lattice interacting via an attractive pairwise zero-range potential. We show that there is a unique eigenvalue below the bottom of the essential spectrum for all values of the coupling constant and two-particle quasimomentum. We obtain a convergent expansion for the eigenvalue. More... »

PAGES

800-811

References to SciGraph publications

  • 1992-04. Bound states and resonances ofN-particle discrete Schrödinger operator in THEORETICAL AND MATHEMATICAL PHYSICS
  • 2005-11-24. The Threshold Effects for the Two-Particle Hamiltonians on Lattices in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s11232-012-0076-8

    DOI

    http://dx.doi.org/10.1007/s11232-012-0076-8

    DIMENSIONS

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