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We generalize the Brundobler-Elser hypothesis in the multistate Landau-Zenerproblem to the case when instead of a state with the highest slope of thediabatic energy level there is a band of states with an arbitrary number ofparallel levels having the same slope. We argue that the probabilities ofcounterintuitive transitions among such states are exactly zero.Comment: 9 pages, 5 figure

Counterintuitive transitions in the multistate Landau–Zener problem with linear level crossings