Title: Linear time-dependent Hamiltonian systems beyond the adiabatic limit
Abstract: A classical version of the Magnus expansion well suited to studying adiabatic time-evolution is built up. The method improves the adiabatic approximation while being symplectic in character. It is shown that the first-order approximation is already accurate enough even far from the adiabatic limit. An analysis of the changes suffered by the adiabatic invariant of a linear Hamiltonian system along its time-evolution illustrates part of the above results. Asymptotic formulae for such changes are also obtained with explicit computation of pre-exponential factors.
Publication Year: 1994
Publication Date: 1994-06-21
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 2
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