Construction of Weyl Matrix for Schrödinger Operators on Carbon Nano‐Structures

ABSTRACT

In this paper, we develop a method for synthesis of the Weyl matrix for Schrödinger operators on carbon nano‐structures which are equivalent to the hexagonal lattice. We construct Weyl matrices for graphs that contain any number of hexagons by adding new edges and solving elementary systems of linear algebraic equations at each step. Our method can be applied in numerical simulations for studying inverse spectral problems for differential operators on hexagonal lattices.