EXISTENCE OF THE EIGENVALUES OF A TWO-CHANNEL MOLECULAR RESONANCE MODEL: NON-INTEGER LATTICE CASE

Tulkin Rasulov, Shohida Nematova

Abstract


A two-channel molecular resonance model in the non-integer lattice case is considered. It is associated with the Hamiltonian of the system consisting of at most two-particles on the d-dimensional non integer lattice, interacting via both a nonlocal potential and creation and annihilation operators. Under the natural condition we study the number of eigenvalues, located on the left hand side of the essential spectrum.


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