A generalization of Gordon's theorem and applications to quasiperiodic Schrodinger operators

We present a criterion for absence of eigenvalues for one-dimensional Schrodinger operators. This criterion can be regarded as an L^1-version of Gordon's theorem and it has a broader range of application. Absence of eigenvalues is then established for quasiperiodic potentials generated by Liouv...

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Bibliographic Details
Main Authors: David Damanik, Gunter Stolz
Format: Article
Language:English
Published: Texas State University 2000-07-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2000/55/abstr.html