Some Schrodinger operators with power-decaying potentials and pure point spectrum

Autor(en): Remling, C
Stichwörter: LOCALIZATION; Physics; Physics, Mathematical; SINGULAR CONTINUOUS-SPECTRUM
Erscheinungsdatum: 1997
Herausgeber: SPRINGER VERLAG
Journal: COMMUNICATIONS IN MATHEMATICAL PHYSICS
Volumen: 186
Ausgabe: 2
Startseite: 481
Seitenende: 493
Zusammenfassung: 
We construct (deterministic) potentials V(x) = O(x(-c)) such that the Schrodinger equation -y `' Vy = Ey on x is an element of [0, infinity) has dense pure point spectrum power-decaying potentials for which the spectrum is purely singular continuous on (0, infinity) for all boundary conditions.
ISSN: 00103616
DOI: 10.1007/s002200050117

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