Abstract
A general adiabatic expansion is written down. The basic result is that, under appropriate smoothness conditions, the adiabatic estimations can be pushed up to exponential order. The results imply exponential estimates not only for hamiltonians analytic in a neighbourhood of the real axis but also for hamiltonians which (in an appropriate sense) beong to Gevrey classes.
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Communicated by H. Araki
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Nenciu, G. Linear adiabatic theory. Exponential estimates. Commun.Math. Phys. 152, 479–496 (1993). https://doi.org/10.1007/BF02096616
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DOI: https://doi.org/10.1007/BF02096616