Dual split quaternions and screw motion in Minkowski 3-space

Kula L., Yayli Y.

IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, vol.30, no.A3, pp.245-258, 2006 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 30 Issue: A3
  • Publication Date: 2006
  • Journal Name: IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.245-258
  • Keywords: dual split quaternions, semi-orthogonal dual matrix, screw-motion
  • Ankara University Affiliated: No

Abstract

In this paper, two new Hamilton operators are defined and the algebra of dual split quaternions is developed using these operators. It is shown that finite screw motions in Minkowski 3-space can be expressed by dual-number ( 3 x 3) matrices in dual Lorentzian spaceMoreover, by means of Hamilton operators, screw motion is obtained in 3-dimensional Minkowski space R-1(3).