LORENTZ DÖNÜŞÜMLERİNİN KOMPLEKS KUATERNİ ONLARLA İNCELENMESİ

Lorentz Dönüşümlerinin Kompleks Kuaternionlarla İncelenmesi

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  • Hamilton, W. R., Elements of Quaternions , Vol.I, II and III, Chelsea, New York, (1899).
  • Imaeda, K., A New Formulation of Classical Electrodynamics , Nuovo Cimento, 32B(1): 138-162 (1976).
  • Negi, O. P. S., et al., Revisting Quaternion Formulation and Electromagnetism , Nuovo Cimento, 113B(12): 1449-1467 (1998).
  • Lambek, J., If Hamilton Had Prevailed: Quaternions in Physics , The Mathematical Intelligencer, 17(4): 7-15 (1995).
  • Gürsey, F. and Tze, C. H., On the role of Division, Jordan and Related Algebras in Particle Physics , Singapore, World Scientific, (1996).
  • Colombo, F. and et al., Regular Functions of Biquaternionic Variables and Maxwell s Equations , Journal of Geometry and Physics, 26: 183-201 (1998).
  • Gsponer, A., Hurni, J. P., Comment on Formulating and Generalizing Dirac s, Proca s, and Maxwell s Equations with Biquaternions or Clifford Numbers , Foundations of Physics Letters, 14(1): 77- 85, (2001).
  • Silberstein, L., Quaternionic Form of Relativity , Philosophical Magazine, 23; 790- 809 (1912).
  • Sobczyk, G., Spacetime Vector Analysis , Physics Letters, 84A(2): 45-48 (1981).
  • Jantzen, R., Generalized Quaternions and Spacetime Symmetries , J. Mathematical Physics, 23(10): 1741-1746 (1982).
  • Abonyi, I. and et al. A Quaternion Representation of the Lorentz Group for Classical Physical Applications , Journal of Physics A: Mathematical and General, 24:3245-3254 (1991).
  • Kassandrov, V. V., Biquaternion Electrodynamics and Weyl-Cartan Geometry of Space-Time , Gravitation and Cosmology, 1(3): 216-222 (1995).
  • Ward, J. P., Quaternions and Cayley Numbers , Dordrecht, Boston, London, Kluwer Academic Publishers, (1997).
  • Conte, E., On a Generalization of Quantum Mechanics by Biquaternions , Hadronnic Journal, 16, 261-275 1993).
  • De Leo, S. and Rotelli, P., Translations Between Quaternion and Complex Quantum Mechanics , Progress of Theoretical Physics, 92(5): 917-926 (1994).
  • De Leo, S. and Rodrigues W. A., Quantum Mechanics: From Complex to Complexified Quaternions , Int. Journal of Theoretical Physics, 36(12): 2725-2757 (1997).
  • Kyrala, A., Theoretical Physics: Applications of Vectors, Matrices, Tensors and Quaternions , Philadelphia, London, W. B. Saunders Company, (1967).
  • Rao S. K. N., On the Quaternion Representation of the Proper Lorentz Group SO(3,1) , Journal of Mathematical Physics , 24( 8): 1945-1954 (1983).
  • Manogue, C., Schray, J., Finite Lorentz Transformations, Automorphisms and Divison Algebras , Journal of Mathematical Physics, 34(8): 3746-3767 (1993).
  • Dahm, R., Complex Quaternions in Spacetime Symmetry and Relativistic Spin-Flavor Supermultiplets , Physics of Atomic Nuclei, 61(11): 1885-1891 (1998).
  • De Leo, S., Quaternionic Lorentz Group and Dirac Equation , Foundations of Physics Letters , 14(1): 37-50 (2001).
  • De Leo, S., Quaternions and Special Relativity , Journal of Mathematical Physics, 37(6): 2955-2968 (1996).
  • Chou, J. C. K., Quaternion Kinematic and Dynamic Differantial Equations , IEEE Transaction on Robotics and Automation, 8(1): 53-64 (1992).