Abstract
The explicit construction of all the eigenvectors of tight-binding Hamiltonians of the Weaire-Thorpe type on random networks is described. Non-degenerate eigenvectors are obtained using operators which commute simultaneously with each part of the Hamiltonian. For degenerate eigenvectors, a procedure is given for constructing a complete set of linearly independent eigenvectors. These methods also provide the vibrational eigenvectors for the central-force dynamics models studied by Thorpe and co-workers.
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