Abstract
The following von Neumann-Wigner type result is proved: The set of potentials a : Γ → R ( Γ ⊆ Z N ) a:\;\Gamma \to {\mathbf {R}}(\Gamma \subseteq {{\mathbf {Z}}^N}) , with the property that the corresponding discrete Schrödinger equation Δ d + a {\Delta _d} + a has multiple eigenvalues when considered with certain boundary conditions, is an algebraic set of codimension ≥ 2 {\text {codimension}} \geq {\text {2}} within R Γ {{\mathbf {R}}^\Gamma } .
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