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Physics in One Dimension pp 265–276Cite as

Lattice Dynamics and Spectral Properties of Disordered Chains

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Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 23))

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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Author information

Authors and Affiliations

  1. Faculty of Engineering, Niigata University, 950-21, Niigata, Japan

    M. Goda

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  1. M. Goda
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Editor information

Editors and Affiliations

  1. Brown Boveri Research Center, CH-5405, Baden-Dättwil, Switzerland

    Jakob Bernasconi

  2. IBM Research Center, CH-8803, Rüschlikon, Switzerland

    Toni Schneider

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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

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-81594-2

  • Online ISBN: 978-3-642-81592-8

  • eBook Packages: Springer Book Archive

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