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An example of a Schroedinger equation with almost periodic potential and nowhere dense spectrum

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Commentarii Mathematici Helvetici

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References

  1. Besicovitch,Almost periodic functions, Dover 1954, chap.I, §6.

  2. Dubrovin, B. V.,The periodic problem for the Korteweg-de Vries equation in the class of finite-zone potentials. Funkt. Anal. i. Prilozin, 9:3, 1975.

    Google Scholar 

  3. Dubrovin, B. A., Matveev, V. B. andNovikov, S. P.,Non-linear Equations of Korteweg-de Vries Type, finite zone linear operators and Abelian Varieties, Russian Math. Surveys 31:1 (1976) 59–146.

    Article  MATH  Google Scholar 

  4. Dynaburg, E. I. andSinai, Ja. G.,On the one dimensional Schrödinger Equation with quasiperiodic potential, Funkt. Anal. i. Prilozin, vol.9(4) (1975) 8–21.

    Google Scholar 

  5. Herman, M. R.,Sur la conjugaison différentiable des diffémorphismes du cercle à des rotations. Inst. des Hautes Etudes Scientifiques, Publ. Math. n.49 (1979) Chap. III, 30 ff.

    Google Scholar 

  6. Ince, E. L.,Ordinary Differential Equations. Dover 1956, esp. sect. 7.41 and 15.62.

  7. Magnus, W. andWinkler, S.,Hill's Equations. Dover 1979, esp. sect. 7.

  8. Ruessmann, H.,On the one dimensional Schrödinger equation with a quasi-periodic potential. To appear in the Annals of the New York Academy of Sciences, 1980.

  9. McKean, H. P. andvan Moerbeke, P.,The spectrum of Hill's equation, Inventiones Math.,30 (1975) 217–274.

    Article  MathSciNet  MATH  Google Scholar 

  10. Scharf, G.,Fastperiodische Potentiale, Helvetica Acta 38, Heft6 (1965) 573–605.

    MATH  Google Scholar 

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Authors and Affiliations

  1. Mathematik, ETH Zentrum, 8092, Zürich

    Jürgen Moser

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  1. Jürgen Moser
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This work was partially supported by the National Science Foundation Grant, MCS 77-01986.

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Moser, J. An example of a Schroedinger equation with almost periodic potential and nowhere dense spectrum. Commentarii Mathematici Helvetici 56, 198–224 (1981). https://doi.org/10.1007/BF02566210

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  • DOI: https://doi.org/10.1007/BF02566210

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