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http://archive.cmb.ac.lk:8080/xmlui/handle/70130/3981| Title: | On the Complementary Wave Interpretation of the Dirac Equation |
| Authors: | Bulathsinghala, D. L. Wijewardena, Gamalath K. A. I. L. |
| Keywords: | The Dirac equation Energy-momentum equation Complementary waves Uncertainty relation Time-arrow Four-vector |
| Issue Date: | 2013 |
| Citation: | International Letters of Chemistry, Physics and Astronomy, 9(2) (2013) 103-115 |
| 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 |
| URI: | http://archive.cmb.ac.lk:8080/xmlui/handle/70130/3981 |
| Appears in Collections: | Department of Physics |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| On the Complementary .....pdf | 85.36 kB | Adobe PDF | View/Open |
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