 97642 Herbst I., Nakamura S.
 Schr\"odinger operators with strong magnetic fields:
Quasiperiodicity of spectral orbits and topology
(65K, LATeX 2e)
Dec 19, 97

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Abstract. We investigate the large $\lambda$ behavior of $\sigma((p\lambda A)^2)$
when the zero set of $B = dA$ has a nonempty 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 $\sigma((p\lambda A)^2)$ approaches a
quasiperiodic orbit in the space of subsets of $[0,\infty)$.
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