On dynamical and geometric phases of time-periodic linear Euler equations

R. F. Espinoza*, Yu Vorobiev

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

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.

Original languageEnglish
Pages (from-to)326-349
Number of pages24
JournalRussian Journal of Mathematical Physics
Volume12
Issue number3
StatePublished - Jul 2005

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