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.

M. Perkovac, "Model of an Atom by Analogy with the Transmission Line,"

References

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[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

[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. http://arxiv.org/abs/1010.6083

[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