Research Article

THE STUDY OF CLASSICS PARTICLES' ENERGY AT ARCHIMEDEAN SOLIDS WITH CLIFFORD ALGEBRA

Volume: 20 December 16, 2019
EN

THE STUDY OF CLASSICS PARTICLES' ENERGY AT ARCHIMEDEAN SOLIDS WITH CLIFFORD ALGEBRA

Abstract

Geometric algebras known as a generalization of Grassmann algebras complex numbers and quaternions are presented by Clifford (1878).  Geometric algebra describing the geometric symmetries of both physical space and spacetime is a strong language for physics. Groups generated from `Clifford numbers` are firstly defined by Lipschitz (1886).  They are used for defining rotations in a Euclidean space. In this work, Clifford algebra is identified. The energy of classic particles with Clifford algebra are defined. This calculations are applied to some Archimedean solids. Also, the vertices of Archimedean solids presented in the Cartesian coordinates are calculated.

Keywords

References

  1. [1] C. Doran, A. Lasenby, Geometric Algebra for Physicists.
  2. [2] M. Kline, Mathematical Thought from Ancient to Modern Times. Oxford University Press, Oxford (1972).
  3. [3] W. K. Clifford, Am. J. Math. 1(1878) 350.
  4. [4] S. L. Altmann, Rotations, quaternions, and double groups. Clarendon Press, Oxford (1994).
  5. [5] A. Kilic, K. Ozdas, M. Tanisli, An Investigation of Symmetry Operations with Clif¬ford Algebra 54(3) (2004).
  6. [6] P. R. Girard, Quaternions, Clifford Algebra, and Relativistic Physics.
  7. [7] J. Funda, R. P. Paul, A Comparison of Transforms and Quaternions in Physics, Proc. of 1988 IEEE Int. Conference on Robotics and Automation, Philadelphia, 1988, p.886.
  8. [8] M. Tanışlı, Acta Physica Slovaca, 53(3) (2003) 253. Turkey, 2012.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Publication Date

December 16, 2019

Submission Date

November 21, 2019

Acceptance Date

December 13, 2019

Published in Issue

Year 2019 Volume: 20

APA
Çakmak, Ş., & Kılıç, A. (2019). THE STUDY OF CLASSICS PARTICLES’ ENERGY AT ARCHIMEDEAN SOLIDS WITH CLIFFORD ALGEBRA. Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering, 20, 170-180. https://doi.org/10.18038/estubtda.649511
AMA
1.Çakmak Ş, Kılıç A. THE STUDY OF CLASSICS PARTICLES’ ENERGY AT ARCHIMEDEAN SOLIDS WITH CLIFFORD ALGEBRA. Estuscience - Se. 2019;20:170-180. doi:10.18038/estubtda.649511
Chicago
Çakmak, Şadiye, and Abidin Kılıç. 2019. “THE STUDY OF CLASSICS PARTICLES’ ENERGY AT ARCHIMEDEAN SOLIDS WITH CLIFFORD ALGEBRA”. Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering 20 (December): 170-80. https://doi.org/10.18038/estubtda.649511.
EndNote
Çakmak Ş, Kılıç A (December 1, 2019) THE STUDY OF CLASSICS PARTICLES’ ENERGY AT ARCHIMEDEAN SOLIDS WITH CLIFFORD ALGEBRA. Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering 20 170–180.
IEEE
[1]Ş. Çakmak and A. Kılıç, “THE STUDY OF CLASSICS PARTICLES’ ENERGY AT ARCHIMEDEAN SOLIDS WITH CLIFFORD ALGEBRA”, Estuscience - Se, vol. 20, pp. 170–180, Dec. 2019, doi: 10.18038/estubtda.649511.
ISNAD
Çakmak, Şadiye - Kılıç, Abidin. “THE STUDY OF CLASSICS PARTICLES’ ENERGY AT ARCHIMEDEAN SOLIDS WITH CLIFFORD ALGEBRA”. Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering 20 (December 1, 2019): 170-180. https://doi.org/10.18038/estubtda.649511.
JAMA
1.Çakmak Ş, Kılıç A. THE STUDY OF CLASSICS PARTICLES’ ENERGY AT ARCHIMEDEAN SOLIDS WITH CLIFFORD ALGEBRA. Estuscience - Se. 2019;20:170–180.
MLA
Çakmak, Şadiye, and Abidin Kılıç. “THE STUDY OF CLASSICS PARTICLES’ ENERGY AT ARCHIMEDEAN SOLIDS WITH CLIFFORD ALGEBRA”. Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering, vol. 20, Dec. 2019, pp. 170-8, doi:10.18038/estubtda.649511.
Vancouver
1.Şadiye Çakmak, Abidin Kılıç. THE STUDY OF CLASSICS PARTICLES’ ENERGY AT ARCHIMEDEAN SOLIDS WITH CLIFFORD ALGEBRA. Estuscience - Se. 2019 Dec. 1;20:170-8. doi:10.18038/estubtda.649511

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