Ma'lumot

ON THE EXISTENCE OF BOUND STATES OF A SYSTEM OF TWO FERMIONS ON THE ONE DIMENSIONAL LATTICE

S.Abdukhakimov, M.Azizova


We study the two-particle discrete Schrodinger operator
associated of a system of two fermions on the one dimensional lattice
with nearest-neighbour interaction
. We prove the existence of eigenvalues below the essential spectrum of the operator
in the following two cases: in the case
for all
and in the case of
for large
.



https://doi.org/10.59251/2181-1296.v5.1351.1106

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