Abstract
It is shown that the formulation for the square of the electric charge given by e 2 = α h has priority over other formulations. It allows reference values to be defined for quantized representations of all electromagnetic quantities. A consequence of e 2 = α h is the formulation of the electron energy paradigm. It links five fundamental reference energies by means of the coupling constant a raised to different powers. As shown, this paradigm results from the experimental findings of atomic light spectra, Ohm’s law, 1/ƒ noise, the quantum Hall effect, the Aharonov-Bohm effect, and electron spin. An attempt to interpret the electron energy paradigm is presented.
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References
K.von Klitzing, G. Dorda, and M. Pepper, Phys. Rev. Lett. 45, 494 (1980).
R. E. Prange and S. M. Girvin, The Quantum Hall Effect (Springer, Berlin 1987).
B. J. van Wees, H. van Houten, C. W. J. Beenakker, J. G. Williamson, L. P. Kouwenhoven, D. van der Marel, and C. T. Foxon, Phys. Rev. Lett. 60, 848 (1988).
D. A. Wharam, T. J. Thornton, R. Newbury, M. Pepper, H. Ahmed, J. E. F. Frost, D. G. Hasko, D. C. Peacock, D. A. Ritchie, and G. A. C. Jones, J. Phys. C 21 ,L209 (1988).
R. C. Dynes, J. P Garno, and J. M. Rowell, Phys. Rev. Lett. 40, 479 (1978).
B. G. Orr, H. M. Jaeger and A. M. Goldman, Phys. Rev. B 32, 7586 (1985).
B. G. Orr, H. M. Jaeger, A. M. Goldman, and C. G. Kuper, Phys. Rev. Lett. 56, 378 (1986).
H. M. Jaeger, D. B. Haviland, A. M. Goldman, and B. G. Orr, Phys. Rev. B 34, 4920 (1986).
R. G. Clark, S. R. Haynes, J. V. Branch, J. R. Mallet, A. M. Suckling, P. A. Wright, P. M. W. Oswald, J. J. Harris, and C. T. Foxon, Surface Sci. 229, 25 (1990).
J. Hajto, A. E. Owen, S. M. Gage, A. J. Snell, P. G. LeComber, and M. J. Rose, Phys. Rev. Lett. 66, 1918 (1991).
N. N. Bogoliubov, and D. V. Shirkov, Introduction to the Theory of Quantized Fields (Interscience Monographs in Physics and Astronomy 3, R. E. Marshak, ed.) (Wiley, New York, 1959).
“Symbols, units and nomenclature in physics,” Document U.I.P. 11 (1965) S.U.N. 65-3.
G. Dorda, Superlattices and Microstructures 7, 103 (1990).
G. Dorda, Proceedings of the 12th General Conference of Condensed Matter Division, EPS ,Prague, April 1992.
G. Dorda, Physica Scripta T ,45, 297 (1992).
L. D. Landau and E. M. Lifschitz, Quantenmechanik ,P. Ziesche, ed. (Akademie-Verlag, Berlin, 1979), p. 116.
R. A. Webb, S. Washburn, C. P. Umbach, and R. B. Laibowitz, Phys. Rev. Lett. 25, 2696 (1985).
S. Washburn, C. P. Umbach, R. B. Laibowitz, and R. A. Webb, Phys. Rev. B 32, 4789 (1985).
S. Washburn and R. A. Webb, Adv. Phys. 35, 375 (1986).
F. N. Hooge, Phys. Rev. 29A, 139 (1969).
F. N. Hooge, Physica B 83, 14 (1976).
F. N. Hooge, Physica B 162, 344 (1990).
L. K. J. Vandamme, Noise in Physical Systems and 1/ƒ Noise ,M. Savelli, G. Lecoy, and J.-P. Nougier, eds. (Elsevier, Amsterdam, 1983), pp. 183–192.
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Dorda, G. (1994). e 2 = αh, The Only Physically Justified Formulation of Electron Charge, and the Resulting Electron Energy Paradigm. In: van der Merwe, A., Garuccio, A. (eds) Waves and Particles in Light and Matter. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-2550-9_42
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DOI: https://doi.org/10.1007/978-1-4615-2550-9_42
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