Semiclassical reduction for magnetic Schrödinger operator with periodic zero-range potentials and applications
نویسندگان
چکیده
The two-dimensional Schrödinger operator with a uniform magnetic field and a periodic zero-range potential is considered. For weak magnetic fields and a weak coupling we reduce the spectral problem to the semiclassical analysis of one-dimensional Harper-like operators. This shows the existence of parts of Cantor structure in the spectrum for special values of the magnetic flux.
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عنوان ژورنال:
- Asymptotic Analysis
دوره 63 شماره
صفحات -
تاریخ انتشار 2009