Journals / Anadolu Üniversitesi Fen Fakültesi Dergisi / 2001 / Cilt: 0 - Sayı: 6

The quaternionic representations in the classical physics

Klasik fizikte kuaternionik gösterimler

Pages
93–103
Publication Date
2022-10-11
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Also, equation of the simple harmonic oscillator in classical pysics is investigated with quaternionic equations.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The form of Newton's second law for two separate cases, angular momentum will be generated using quaternion operators acting on position and unit quaternion.
📊
Key Findings & Data:The form of Newton's second law for two separate cases, angular momentum will be generated using quaternion operators acting on position and unit quaternion.
💡
Conclusion & Impact:Also, equation of the simple harmonic oscillator in classical pysics is investigated with quaternionic equations.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

The form of Newton's second law for two separate cases, angular momentum will be generated using quaternion operators acting on position and unit quaternion. Also, equation of the simple harmonic oscillator in classical pysics is investigated with quaternionic equations.

Özet

Bu çalışmada; Newton'un 2. hareket yasası, 2 ayrı formda ve açısal momentum, konum ve birim kuaternionlara quaternion operatörleri uygulanarak kuatemionik denklemlerle incelenmiştir. Ayrıca klasik fizikteki harmonik salınıcı denklemi de kuaternionik denklemlerle ele alınmıştır.

🔖

Cite This Article

TANIŞLI, M. (2022). The quaternionic representations in the classical physics. Anadolu Üniversitesi Fen Fakültesi Dergisi, Cilt: 0 - Sayı: 6, 93–103. https://ajindex.com/articles/438639

References (11)

  1. ÖZDAŞ, K., ÖZDAŞ, A., Fiziksel Niceliklerin Kuaternionlarla Temsili, Fen - Edebiyat Dergisi, C:I, 2,101 - 113, 1989
  2. ÖZDAŞ, K., Bölüm Cebirleri ve Bunların Fiziksel Uygulamaları. Anadolu Üniversitesi Fen Fakültesi Yayınları, Eskişehir, 1995
  3. HACISALİHOĞLU, H., Hareket Geometrisi ve Kuaternionlar Teorisi. Gazi Üniversitesi Fen - Edebiyat Fakültesi Yayınları, Ankara, 1983
  4. SERDAROĞLU, M., Fizikte Kuaternion ve Oktonion Yapılar, Bilim ve Teknik Dergisi, 26, 302, 45-51, 1993
  5. TANIŞL1, M. Doktora Tezi, Osmangazi Üniversitesi, Fen Bilimleri Enstitüsü, Eskişehir, 1995, 69
  6. HARAUZ, G., Representation of Rotations by Unit Quaternions, Ultramicroscopy, 33, 209-213, 1990
  7. HORN, B., Closed - Form Solution of Absolute Orientation Using Quaternions, Journal of Optical Society of America, 4, 629-642, 1987
  8. CHOU, J.C.K., Quaternion Kinematic and Dynamic Differantial Equations, IEEE Transaction on Robotics and Automation, 8, 1, 53-64,1992
  9. WEHAGE, R.A., Quaternion and Euler Parameters - A Brief Expansion, Computer Aided Analysis and Optimization of Mechanical System Dynamics E.J. Haug ed., 147-180, 1984
  10. CHOU, J.C.K., KAMEL, M., Finding the Position and Orientation of a Sensor an a Robot Manipulator Using Quaternions, The International Journal of Robotics Research, 10, 3, 240-254, 1991
  11. DOUG, S., "Doing physics with quaternions", [email protected]>