Finiteness of the Discrete Spectrum of the Hamiltonian of a System of Three Arbitrary Particles on a Lattice View Full Text


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Article Info

DATE

2001-12

AUTHORS

S. N. Lakaev, S. M. Samatov

ABSTRACT

We prove that the number of bound states for the Hamiltonian of a system of three arbitrary particles interacting through pairwise attraction potentials on a three-dimensional lattice is finite in the cases where (1) none of the two-particle subsystems has a virtual level and (2) only one of the two-particle subsystems has a virtual level. More... »

PAGES

1655-1668

References to SciGraph publications

  • 1989. The problem of a few quasi-particles in solid-state physics in APPLICATIONS OF SELF-ADJOINT EXTENSIONS IN QUANTUM PHYSICS
  • 1975-11. On the finiteness of the discrete spectrum of the three-particle Schr√∂dinger operator in THEORETICAL AND MATHEMATICAL PHYSICS
  • 1991-10-01. On the infinite number of three-particle bound states of a system of three quantum lattice particles in THEORETICAL AND MATHEMATICAL PHYSICS
  • 1993-09. The Efimov effect. Discrete spectrum asymptotics in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1023/a:1013011300854

    DOI

    http://dx.doi.org/10.1023/a:1013011300854

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1034082784


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