Abstract
A perturbative method, using Lie transforms, is given for calculating the Hannay angle for slow, cyclic evolutions of a classical system, taking into account the finite rate of change of the Hamiltonian. The method is applied to the generalized harmonic oscillator. The classical Aharonov-Anandan angle is also calculated. The interpretational ambiguity in the definitions of geometrical angles is discussed.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 4389-4394 |
| Number of pages | 6 |
| Journal | Physical Review A |
| Volume | 38 |
| Issue number | 9 |
| DOIs | |
| State | Published - 1988 |
| Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Atomic and Molecular Physics, and Optics