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The perturbatively stable spectrum of a periodic Schrödinger operator

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References

  1. Eliasson, L.H.: Floquet solutions for the one-dimensional quasiperiodic Schrödinger equation. Preprint, ETH Zürich 1989

  2. Eskin, G., Ralston, J., Trubowitz, E.: On isospectral periodic potentials in ℝn. Commun. Pure Appl. Math.37, 647–676 (1984)

    Google Scholar 

  3. Fröhlich, J., Martinelli, F., Scoppola, E., Spencer, T.: Constructive proof of localization in the Anderson tight binding model. Commun. Math. Phys.101, 21–46 (1985)

    Google Scholar 

  4. Jona-Lasinio, G., Martinelli, F., Scoppola, E.: New approach to the semiclassical limit of quantum mechanics I: Multiple tunnelings in one dimension. Commun. Math. Phys.80, 223–254 (1981)

    Google Scholar 

  5. Jona-Lasinio, G., Martinelli, F., Scoppola, E.: Multiple tunnelings ind-dimensions: A quantum particle in a hierarchical potential. Ann. Inst. H. Poincaré.42, 73–108 (1985)

    Google Scholar 

  6. Knörrer, H., Trubowitz, E.: A directional compactification of the complex Bloch variety. Comment. Math. Helv.65, 114–149 (1990)

    Google Scholar 

  7. McKean, H., Trubowitz, E.: Hills operator and hyperelliptic function theory in the presence of infinitely many branch points. Commun. Pure Appl. Math.29, 143–226 (1976)

    Google Scholar 

  8. Weinmann, A.: Stabile Eigenwerte des Laplace-Operators auf speziellen Tori. Diplomarbeit, ETH-Zürich 1989

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Authors and Affiliations

  1. Department of Mathematics, University of British Columbia, V6TIY4, Vancouver, BC, Canada

    Joel Feldman

  2. Mathematik, ETH-Zentrum, CH-8092, Zürich, Switzerland

    Horst Knörrer & Eugene Trubowitz

Authors
  1. Joel Feldman
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  2. Horst Knörrer
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  3. Eugene Trubowitz
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Research supported in part by the National Sciences and Energy Research Council of Canada

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Feldman, J., Knörrer, H. & Trubowitz, E. The perturbatively stable spectrum of a periodic Schrödinger operator. Invent Math 100, 259–300 (1990). https://doi.org/10.1007/BF01231187

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