Dual split quaternions and screw motion in Minkowski 3-space

Kula L., Yayli Y.

IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, cilt.30, sa.A3, ss.245-258, 2006 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 30 Sayı: A3
  • Basım Tarihi: 2006
  • Dergi Adı: IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.245-258
  • Anahtar Kelimeler: dual split quaternions, semi-orthogonal dual matrix, screw-motion
  • Ankara Üniversitesi Adresli: Hayır

Özet

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).