The number of eigenvalues of the two-particle discrete Schrödinger operator View Full Text


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Article Info

DATE

2009-02

AUTHORS

S. N. Lakaev, A. M. Khalkhuzhaev

ABSTRACT

We consider the two-particle discrete Schrödinger operator associated with the Hamiltonian of a system of two particles (fermions) interacting only at the nearest neighbor sites. We find the number and the location of the eigenvalues of this operator depending on the particle interaction energy, the system quasimomentum, and the dimension of the lattice ℤν, ν ≥ 1. More... »

PAGES

221-232

References to SciGraph publications

  • 2005-11-24. The Threshold Effects for the Two-Particle Hamiltonians on Lattices in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1993-07. On Efimov's effect in a system of three identical quantum particles in FUNCTIONAL ANALYSIS AND ITS APPLICATIONS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s11232-009-0018-2

    DOI

    http://dx.doi.org/10.1007/s11232-009-0018-2

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1011019006


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