Herbst I., Nakamura S.
Schr\"odinger operators with strong magnetic fields:
Quasi-periodicity of spectral orbits and topology
(65K, LATeX 2e)
ABSTRACT. We investigate the large $\lambda$ behavior of $\sigma((p-\lambda A)^2)$
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 $\sigma((p-\lambda A)^2)$ approaches a
quasi-periodic orbit in the space of subsets of $[0,\infty)$.