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Статья
2017

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


A. M. KhalkhuzhaevA. M. Khalkhuzhaev
Русская математика
https://doi.org/10.3103/S1066369X17090080
Abstract / Full Text

We consider a family of three-particle discrete Shrödinger operators H μ (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 H μ (K) for all values of the three-particle quasi-momentum K ∈ Td and the interaction energy μ > 0.

Author information
  • Samarkand State University, Universiteskii bulv. 15, Samarkand, 140101, Republic of UzbekistanA. M. Khalkhuzhaev
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