Dual Killing-Yano symmetry and multipole moments in electromagnetism and mechanics of continua


Baleanu D., Dubovik V., Misicu S.

HELVETICA PHYSICA ACTA, vol.72, no.3, pp.171-179, 1999 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 72 Issue: 3
  • Publication Date: 1999
  • Title of Journal : HELVETICA PHYSICA ACTA
  • Page Numbers: pp.171-179

Abstract

In this work we introduce the Killing-Yano symmetry on the phase space and we investigate the symplectic structure on the space of Killing-Yano tensors. We perform the detailed analyze of the n-dimensional flat space and the Riemaniann manifolds with constant scalar curvature. We investigate the form of some multipole tensors, which. arise in the expansion of a system of charges and currents, in terms of second-order Killing-Yano tensors in the phase space of classical mechanics. We find some relations between these tensors and the generators of dynamical symmetries like the angular momentum, the mass-inertia tensor, the conformal operator and the momentum conjugate Runge-Lenz vector.