Abstract:
We investigate the spectrum of the two-dimensional Schrödinger operator , where the magnetic field and the electric potential V are spherically symmetric, i.e., , , and b is p-periodic, similarly for V. By considering two different gauges we get the following results: In case the spectrum contains a semi-axis that consists alternately of intervals of absolutely continuous and dense point spectrum. In case the essential spectrum is purely dense point spectrum and possibly there are spectral gaps.
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Received: 12 March 1997 / Accepted: 2 April 1997
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Hoever, G. On the Spectrum¶of Two-Dimensional Schrödinger Operators¶with Spherically Symmetric, Radially Periodic¶Magnetic Fields . Comm Math Phys 189, 879–890 (1997). https://doi.org/10.1007/s002200050232
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DOI: https://doi.org/10.1007/s002200050232