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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Embedded singular continuous spectrum for one-dimensional Schrödinger operators


Author: Christian Remling
Journal: Trans. Amer. Math. Soc. 351 (1999), 2479-2497
MSC (1991): Primary 34L40, 81Q10
Published electronically: February 24, 1999
MathSciNet review: 1665336
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Abstract: We investigate one-dimensional Schrödinger operators with sparse potentials (i.e. the potential consists of a sequence of bumps with rapidly growing barrier separations). These examples illuminate various phenomena related to embedded singular continuous spectrum.


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Additional Information

Christian Remling
Email: cremling@mathematik.uni-osnabrueck.de

DOI: http://dx.doi.org/10.1090/S0002-9947-99-02495-2
PII: S 0002-9947(99)02495-2
Keywords: Schr\"odinger equation, singular continuous spectrum, subordinate solutions
Received by editor(s): May 20, 1997
Published electronically: February 24, 1999
Article copyright: © Copyright 1999 American Mathematical Society