Stark-Wannier type operators with purely singular spectrum

Details Stark-Wannier type operators with purely singular spectrum Stark-Wannier type operators with purely singular spectrum

2004-06-11

arxiv.org/abs/math-ph/0406020v1

Physics

Mathematical Physics

42 pages

Scientific paper

We consider the one-dimensional Stark-Wannier type operators with potentials
given by a smooth function with a logarithmic growth at infinity plus a
periodic function with the Fourier coefficients of the form $(\ln |n|)^{-b},
0the corresponding operator is purely singular continuous.

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