Abstract
Several results that seem to arise quite naturally from Hestenes geometric formulation of Dirac’s equation, and that conflict with the standard view on the relativistic invariance of it, are openly discussed. The result is a better understanding of all quantum theory. On one hand the mathematics of relativistic quantum mechanics is made fully compatible with classical physical theories. On the other hand, the geometrical content of these mathematical operations, involving in an intrinsic manner the observer’s frame, elucidates some of the most fundamental problems and profound mathematical results of quantum mechanics.
This work has received financial support from the D.G.C y T. under contract No. PB90-0482-C02-01
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References
Darwin, C. G.: 1928, ‘The wave equations of the electron’ Proc. Royal Soc. London 118, 654–680.
Graf, W.: 1978, ‘Differential forms as spinors’, Ann. Inst. Henri Poincaré Sec. A 29, 85–109.
Hestenes, D.: 1990 a, ‘The Zitterbewegung Interpretation of Quantum Mechanics’ Found. Phys. 20, 1213–1232.
Hestenes, D.: 1990 b, ‘Real Dirac Theory’, Tempe, Arizona.(Draft, 89 pp. private communication).
Hestenes, D.: 1992, in A. Micali, R. Boudet and J. Helmstetter, ed(s)., Proceedings of the Second International Conference on Clifford Algebras and Their Applications to Physics, 3–16, Mathematical viruses, Kluwer:Dordrecht
Parra, J. M.: 1992 a, in A. Micali, R. Boudet and J. Helmstetter, ed(s)., Proceedings of the Second International Conference on Clifford Algebras and Their Applications to Physics, 463–467, On Dirac and Dirac-Darwin-Hestenes equations, Kluwer:Dordrecht
Parra J. M.: 1992 b, ‘The Dirac-Hestenes equation and the algebraic structure of the Minkowski space-time’, XIX ICGTMP, Salamanca (Spain) July-1992, to appear.
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Parra, J.M. (1993). Intrinsic Non-Invariant Forms of Dirac Equation. In: Oziewicz, Z., Jancewicz, B., Borowiec, A. (eds) Spinors, Twistors, Clifford Algebras and Quantum Deformations. Fundamental Theories of Physics, vol 52. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1719-7_27
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DOI: https://doi.org/10.1007/978-94-011-1719-7_27
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