Abstract
Some rigorous treatments on special frequencies and localization of eigen-states in one-dimensional systems are outlined. Special frequencies are understood as generalized spectral gaps which are predicted by the general Saxon-Hutner-type theorem. Localization of eigenstates is understood by the exponential growth property of particular solution. Furstenberg’s convergent theorem is generalized for this purpose.
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© 1981 Springer-Verlag Berlin Heidelberg
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Goda, M. (1981). Lattice Dynamics and Spectral Properties of Disordered Chains. In: Bernasconi, J., Schneider, T. (eds) Physics in One Dimension. Springer Series in Solid-State Sciences, vol 23. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-81592-8_31
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DOI: https://doi.org/10.1007/978-3-642-81592-8_31
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