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Communications in Mathematical Physics

Volumn 146, Issue 3, 1992, Pages 447-482

Floquet solutions for the 1-dimensional quasi-periodic Schrödinger equation

(1) Eliasson, L H a

a ROYAL INSTITUTE OF TECHNOLOGY (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001401431 PISSN: 00103616 EISSN: 14320916 Source Type: Journal
DOI: 10.1007/BF02097013 Document Type: Article

Times cited : (323)

References (14)

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3
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- The one dimensional Schrödinger equation with quasi-periodic potential
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- Dinaburg, E.I.¹ Sinai, Y.G.²

4
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- On the one dimensional Schrödinger equation with a quasi-periodic potential
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- Rüssmann, H.¹

5
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- Almost periodic Schrödinger operators. III. The absolutely continuous spectrum in one dimension
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- Deift, P.¹ Simon, B.²

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- Localization for a class of one dimensional quasi-periodic Schrödinger operators
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- Fröhlich, J.¹ Spencer, T.² Wittwer, P.³

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- Anderson localization for the one-dimensional difference Schrödinger operator with quasiperiodic potentials
- (1987) J. Stat. Phys. , vol.46 , pp. 861-909
- Ya. Sinai, G.¹

8
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- Surace, S.: The Schrödinger equation with a quasi-periodic potential, Thesis N. Y. University

9
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- Spencer, T.: Ergodic Schrodinger operators. In P. Rabinoqitz, E. Zehnder (eds.). Analysis etc. Volume for J. Moser's sixtieth birthday, New York Press 1989

10
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- Kotani, S.: Lyapunov Indices determine absolutely continuous spectra of stationary random 1-dimensional Schrödinger operators. Proc. of Taniguchi Sympos., SA Katata, 225–247, (1982)

11
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- Chulaevsky, V. A., Delyon, F.: Purely absolutely continuous spectrum for almost Mathieu operators, preprint (1989)

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- Albanese, C.: Quasiperiodic Schrödinger operators with pure absolutely continuous spectrum, preprint Courant Institute, New York (1990)

13
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- Jörgens, K., Rellich, F.: Eigenwerttheorie gewöhnlicher Differentialgleichungen. Berlin, Heidelberg, New York: 1976

14
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- Academic Press, New York
- (1972) Gaussian Processes, Function Theory, and the Inverse spectral Problem
- Dym, H.¹ McKean, H.P.²

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