Abstract
This paper is devoted to the computation of the dynamical and geometrical phases of a classical cyclic evolution for a time-periodic linear Euler equation on a Lie algebra. Sufficient conditions for the representation of the geometrical phase in terms of the symplectic form of a coadjoint orbit are given. For a 1-parameter family of linear periodic Euler equations, the parameter evolution of the phase angles is described. These results are illustrated in the case of 3-dimensional Lie algebras. Copyright © 2005 by MAIK "Nauka/Interperiodica" (Russia).
| Original language | American English |
|---|---|
| Pages (from-to) | 326-349 |
| Number of pages | 24 |
| Journal | Russian Journal of Mathematical Physics |
| State | Published - 1 Jul 2005 |