JMP  Vol.4 No.7 , July 2013
Model of an Atom by Analogy with the Transmission Line
Abstract: Model of an atom by analogy with the transmission line is derived using Maxwell’s equations and Lorentz’ theory of electrons. To be realistic such a model requires that the product of the structural coefficient of Lecher’s transmission lines σ and atomic number Z is constant. It was calculated that this electromechanical constant is 8.27756, and we call it structural constant. This constant builds the fine-structure constant 1/α = 137.036, and with permeability μ, permittivity ε and elementary charge e builds Plank’s constant h. This suggests the electromagnetic character of Planck’s constant. The relations of energy, frequency, wavelength and momentum of electromagnetic wave in an atom are also derived. Finally, an equation, similar to Schrodinger’s equation, was derived, with a clear meaning of the wave function, which represents the electric or magnetic field strength of the observed electromagnetic wave.
Cite this paper: M. Perkovac, "Model of an Atom by Analogy with the Transmission Line," Journal of Modern Physics, Vol. 4 No. 7, 2013, pp. 899-903. doi: 10.4236/jmp.2013.47121.

[1]   H. Hansel and W. Neumann, “Physik,” Spektrum Akademischer Verlag, Heidelberg, 1995.

[2]   H. Czichos and Association Hütte, “Die Grundlagen der Ingenieurwissenschaften,” Springer-Verlag, Berlin, 1989.

[3]   G. Bellotti, Advances in Natural Science, Vol. 5, 2012, pp. 7-11.

[4]   M. Perkovac, “Statistical Test of Duane-Hunt’s Law and Its Comparison with an Alternative Law,” 2010.

[5]   J. D. Jackson, “Classical Electrodynamics,” John Wiley & Sons, Inc., New York, 1998.

[6]   M. Perkovac, “Maxwell Equations for Nanotechnology,” Proceedings of the 35th International Convention of the IEEE MIPRO, Opatija, 21-25 May 2012, pp. 429-436.

[7]   R. H. Good, “Classical Electromagnetism,” Saunders College Publishing, Fort Worth, 1999.

[8]   R. Rüdenberg, “Elektrische Schaltvorgange,” Julius Springer, Berlin, 1923.

[9]   D. C. Giancolli, “Physics for Scientists and Engineers,” Prentice Hall, Englewood Cliffs, 1988.

[10]   L. Page and N. I. Adams, “Electrodynamics,” D. Van Nostrand Company, Inc., New York, 1940.

[11]   M. Perkovac, Physics Essays, Vol. 15, 2002, pp. 41-60. doi:10.4006/1.3025509

[12]   M. Perkovac, Physics Essays, Vol. 16, 2003, pp. 162-173. doi:10.4006/1.3025572