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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.
Rocznik
Tom
Strony
103--115
Opis fizyczny
Bibliogr. 21 poz., wz.
Twórcy
autor
- Department of Physics, University of Colombo, Colombo 3, Sri Lanka
- Department of Physics, University of Colombo, Colombo 3, Sri Lanka
Bibliografia
- [1] M. Planck, Annalen der Physik 4 (1901) 553-563.
- [2] A. Einstein, Annalen der Physik 17 (1905) 132-148.
- [3] P. A. M. Dirac, Proc. Roy. Soc. Lond. A 117 (1928) 610-624.
- [4] P. A. M. Dirac, Proc. Roy. Soc. Lond. A 126 (1930) 360-365.
- [5] P. A. M. Dirac, Proc. R. Soc. Lond. A 133 (1932) 60-72.
- [6] C. D Anderson, Phys. Rev. 43 (1933) 491-494.
- [7] E. Majorana, Nuovo Cimento 9 (1932) 335-344.
- [8] W. Rarita, J. Schwinger, Phys. Rev. 60 (1941) 61.
- [9] A. Proca, J. Phys. Radium 7 (1936) 347-353.
- [10] H. J. Bhabha, Rep. Prog. Phys. 10 (1944) 253.
- [11] V. Bargmann, E. P. Wigner, PNAS 34 (5) (1948) 211-223.
- [12] S. Esposito, Annals of Physics 327(6) (1912) 1617-1644.
- [13] E. A. Jeffery, Aust. J. Phys. 31(2) (1978) 137-150.
- [14] T. Jaroszewicz, P. S Kurzepa, Annals of Phys. 215 (2) (1992) 457-457.
- [15] R. F. Guertin Annals of Phys. 88 (2) (1974) 504-533. [16] D. Hestenes, J. Math. Phys. 8 (1967) 728-808.
- [17] C. Daviau, Found. Phys. 23 (1993) 1431-1443.
- [18] L. de Broglie, Ann. de Physique 3 (1925) 22-128; Am. J. Phys. 40(9) (1972) 1315-1320.
- [19] L. I. Mandelshtam, I. E. Tamm, J. Phys. (USSR) 9 (1945) 249-254.
- [20] W. Heisenberg, Zeitschrift für Physik 43 (1927) 172-198.
- [21] B. Greene, The Fabric of the Cosmos: Space, Time, and the Texture of Reality, Random House, Inc., New York. 2004.
Typ dokumentu
Bibliografia
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bwmeta1.element.baztech-47d918fd-15d3-46cd-997f-6ff4ef85202f