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Uniform Cantor Singular Continuous Spectrum for Nonprimitive Schrödinger Operators

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Abstract

It is shown that some Schrödinger operators, with nonprimitive substitution potentials, have pure singular continuous Cantor spectrum with null Lebesgue measure for all elements in the respective hulls.

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Authors and Affiliations

  1. Departamento de Matemática, UFSCar, São Carlos, São Paulo, 13560-970, Brazil

    Marcus V. Lima & César R. de Oliveira

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  1. Marcus V. Lima
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  2. César R. de Oliveira
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Lima, M.V., de Oliveira, C.R. Uniform Cantor Singular Continuous Spectrum for Nonprimitive Schrödinger Operators. Journal of Statistical Physics 112, 357–374 (2003). https://doi.org/10.1023/A:1023644007635

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