Sfb 288 Differential Geometry and Quantum Physics

Abstract for Sfb Preprint No. 87

Adiabatic Invariance and the Regularity of Perturbations

K. Jung

published in Nonlinearity 8 (1995) 891-900.

A loss in smoothness of a switching process decreases the accuracy of an adiabatic invariant. Here we show that for classical Hamiltonian systems the degree of smoothness can be observed in the signal.

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