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International Letters of Chemistry, Physics and Astronomy
Volume 14
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On the Complementary Wave Interpretation of the Dirac Equation

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Abstract:

The Dirac equation consistent with the principles of quantum mechanics and the special theory of relativity, introduces a set of matrices combined with the wave function of a particle in motion to give rise to the relativistic energy-momentum relation. In this paper a new hypothesis, the wave function of a particle in motion is associated with a pair of complementary waves is proposed. This hypothesis gives rise to the same relativistic energy-momentum relation and achieves results identical to those of Dirac. Additionally, both the energy-time and momentum-position uncertainty relations are derived from the complementary wave interpretation. How the complementary wave interpretation of the Dirac equation is related to the time-arrow and the four-vectors are also presented.

Info:

Periodical:
International Letters of Chemistry, Physics and Astronomy (Volume 14)
Pages:
103-115
DOI:
10.18052/www.scipress.com/ILCPA.14.103
Citation:
D.L. Bulathsinghala and K.A.I.L. Wijewardena Gamalath, "On the Complementary Wave Interpretation of the Dirac Equation", International Letters of Chemistry, Physics and Astronomy, Vol. 14, pp. 103-115, 2013
Online since:
Sep 2013
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