Schrödinger operators with strong magnetic fields: Quasi-periodicity of spectral orbits and topology
نویسندگان
چکیده
We investigate the large λ behavior of σ((p−λA)2) when the zero set of B = dA has a non-empty interior. With certain technical hypotheses we show that if either B is bounded away from zero for large |x| or periodic and certain quotients of standard homology groups are finite rank, then σ((p − λA)2) approaches a quasi-periodic orbit in the space of subsets of [0,∞).
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