Ma'lumot

THE EXISTENCE AND LOCATION OF EIGENVALUES OF THE TWO PARTICLE DISCRETE SCHRÖDINGER OPERATORS

S. Kh. Abdukhakimov


We study the two-particle Schrödinger operators H (k)  with fixed quasimomentum of particles pair k T associated with the Fermi-Hubbard Hamiltonian H of a system of two identical fermions on the one-dimensional lattice Z with nearest-neighbor interaction  R . The existence or absence and the number of eigenvalues depending on the two particle quasimomentum and interaction energy is completely studied.



https://doi.org/10.59251/2181-1296.v5.1292.836

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