TY - JOUR
T1 - Dimensional hausdorff properties of singular continuous spectra
AU - Jitomirskaya, Svetlana Ya
AU - Last, Yoram
PY - 1996
Y1 - 1996
N2 - We present an extension of the Gilbert-Pearson theory of subordinacy, which relates dimensional Hausdorff spectral properties of one-dimensional Schrödinger operators to the behavior of solutions of the corresponding Schrödinger equation. We use this theory to analyze these properties for several examples having the singular-continuous spectrum, including sparse barrier potentials, the almost Mathieu operator and the Fibonacci Hamiltonian.
AB - We present an extension of the Gilbert-Pearson theory of subordinacy, which relates dimensional Hausdorff spectral properties of one-dimensional Schrödinger operators to the behavior of solutions of the corresponding Schrödinger equation. We use this theory to analyze these properties for several examples having the singular-continuous spectrum, including sparse barrier potentials, the almost Mathieu operator and the Fibonacci Hamiltonian.
UR - http://www.scopus.com/inward/record.url?scp=0000938201&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.76.1765
DO - 10.1103/PhysRevLett.76.1765
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AN - SCOPUS:0000938201
SN - 0031-9007
VL - 76
SP - 1765
EP - 1769
JO - Physical Review Letters
JF - Physical Review Letters
IS - 11
ER -