Published March 11, 2022 | Version online

THE NUMBER AND LOCATION OF EIGENVALUES OF THE TWO PARTICLE DISCRETE SCHRODINGER OPERATORS

  • 1. Samarkand State University,
  • 2. Samarkand State University

Description

Let 𝕋  be the one - dimensional torus. Let (𝕋) be the Hilbert space of squareintegrable functions on 𝕋. (𝕋) (𝕋)  is the Hilbert space of square-integrable even functions on 𝕋. For any µ; λ  R and k ∈   the Schrodinger operator Hµλ (k) is bounded and self-adjoint acting in (𝕋) as

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