A new method to determine eigenvectors based on a real space Green's function is reported. This method is particularly useful for determining the eigenvectors corresponding to degenerate states. Using this approach, the lowest persistent degenerate mode exhibited by the third-stage Vicsek fractal has been examined and has been shown to be an edge-confined, superlocalized vibrational mode.
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Jayanthi et al. (1992) studied this question.
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