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On the essential spectrum of a four-particle Schrödinger operator on a lattice

M. I. MuminovSamarkand State University, Samarkand, 140100, UzbekistanU. R. ShodievSamarkand State University, Samarkand, 140100, Uzbekistan
Siberian Advances in Mathematicsjournal2011en
ABI

Annotatsiya

The Hamiltonian of a system of four arbitrary quantum particles with three-particle short-range interaction potentials on a three-dimensional lattice is examined. The location of the essential spectrum of this Hamiltonian is described by Faddeev’s equations.

Mavzular

Spectral Theory in Mathematical PhysicsQuantum chaos and dynamical systemsadvanced mathematical theories

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DOI
10.3103/s1055134411040079

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