The essential spectrum of the three-particle discrete operator corresponding to a system of three fermions on a lattice View Full Text


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Article Info

DATE

2017-08-31

AUTHORS

A. M. Khalkhuzhaev

ABSTRACT

We consider a family of three-particle discrete Shrödinger operators Hμ(K). These operators are associated with the Hamiltonian for a system of three identical particles (fermions) with pairwise two-particle interactions on neighboring junctions of the d-dimensional lattice Zd. We describe the location and the structure of the essential spectrum of the operator Hμ(K) for all values of the three-particle quasi-momentum K ∈ Td and the interaction energy μ > 0. More... »

PAGES

67-78

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
  • 1986-06. Clustering operators in JOURNAL OF MATHEMATICAL SCIENCES
  • 2009-02. The number of eigenvalues of the two-particle discrete Schrödinger operator in THEORETICAL AND MATHEMATICAL PHYSICS
  • 2008-05. Spectrum of the two-particle Schrödinger operator on a lattice in THEORETICAL AND MATHEMATICAL PHYSICS
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    URI

    http://scigraph.springernature.com/pub.10.3103/s1066369x17090080

    DOI

    http://dx.doi.org/10.3103/s1066369x17090080

    DIMENSIONS

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