Embedded singular continuous spectrum for one-dimensional Schrödinger operators

Remling, Christian

doi:10.1090/S0002-9947-99-02495-2

Embedded singular continuous spectrum for one-dimensional Schrödinger operators
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Trans. Amer. Math. Soc. 351 (1999), 2479-2497 Request permission

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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