Abstract
A classical analog is obtained for Berrys nonperturbative scheme of adiabatic iteration which computes corrections to Berrys phase (or Hannays angle) for finite values of the adiabatic parameter . The iterative method is compared to the Lie version of adiabatic perturbation theory. Both approaches show a divergence of k!k, where k is the order of iteration. It is argued that the divergences are a mathematical artifact of the asymptotic methods used, not related to the physical effect of transitions, nor to the nonconservation of the action variables.
Original language | English (US) |
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Pages (from-to) | 5650-5665 |
Number of pages | 16 |
Journal | Physical Review A |
Volume | 41 |
Issue number | 10 |
DOIs | |
State | Published - 1990 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Atomic and Molecular Physics, and Optics