On the discrete spectrum of two-particle discrete Schrödinger operators
Muminov, Z. I.
Original · EN
In the present paper our aim is to explore some spectral properties of the family two-particle discrete Schrödinger operators hᵈ(k)=hᵈ₀(k)+ v, k∈ ᵈ, on the d dimensional lattice ᵈ, d≥ 1, k being the two-particle quasi-momentum. Under some condition in the case k∈ ᵈ (-π,π)ᵈ, we establish necessary and sufficient conditions for existence of infinite discrete spectrum of the operator hᵈ(k).
English translation
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