Dual Split Quaternions and Screw Motion in 3-Dimensional Lorentzian Space

ÖZKALDI KARAKUŞ S., Gündoǧan H.

Advances in Applied Clifford Algebras, vol.21, no.1, pp.193-202, 2011 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 21 Issue: 1
  • Publication Date: 2011
  • Doi Number: 10.1007/s00006-010-0236-6
  • Journal Name: Advances in Applied Clifford Algebras
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.193-202
  • Keywords: Cayley formula, dual split quaternions, Lorentzian matrix multiplication, Lorentzian space, screw motion
  • Bilecik Şeyh Edebali University Affiliated: No

Abstract

In this paper we obtain screw axis of a displacement in L3. Then by using the L-screw axis, L-Rodrigues equation for a spatial displacement is obtained in the spaceL3. Moreover, the components of a dual split quaternion are obtained by replacing the L-Euler parameters with their split dual versions. © 2010 Springer Basel AG.