Two Dimensional Representation of the Dirac Equation in Non-Associative Algebra

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References

[1] S. L. Adler, “Quaternion Quantum Mechanics and Quantum Fields,” Oxford University Press, New York, 1995.

[2] G. Birkhoff and J. Neuman, “The Logic of Quantum Mechanics,” Annals of Mathematics, Vol. 37, No. 4, 1936, pp. 823-843. doi:10.2307/1968621

[3] D. Finkelstein, J. M. Jauch, S. Schiminovich and D. Spei- ser, “Foundations of Quaternion Quantum Mechanics,” Jour- nal of Mathematical Physics, Vol. 3, No. 2, 1962, pp. 207- 220. doi:10.1063/1.1703794

[4] A. A. Albert, “On a Certain Algebra of Quantum Mecha- nics,” Annals of Mathematics, Vol. 35, No. 1, 1934, pp. 65- 73. doi:10.2307/1968118