The equations for energy, momentum, frequency, wavelength and also
Schr?dinger equation of the electromagnetic wave in the atom are derived using
the model of atom by analogy with the transmission line. The action constant A0 = (μ0/ε0)1/2s02e2 is a key term in the above
mentioned equations. Besides the other well-known quantities, the only one
unknown quantity in the last expression is a structural constant s0. Therefore, this article
is dedicated to the calculation of the structural constant of the atoms on the
basis of the above mentioned model. The structural constant of the atoms s0 = 8.27756 shows
up as a link between macroscopic and atomic world. After calculating this
constant we get the theory of atoms based on Maxwell’s and Lorentz
equations only. This theory does not require Planck constant h, which once was introduced
empirically. Replacement for h is the
action constant A0, which
is here theoretically derived, while the replacement for fine structure
constant α is 1/(2s02). In this way,
the structural constant s0 replaces both constants, h and α. This paper also defines the stationary
states of atoms and shows that the maximal atomic number is equal to 2s02 = 137.036, i.e., as integer should be Zmax=137. The presented model
of the atoms covers three of the four fundamental interactions, namely the
electromagnetic, weak and strong interactions.
References
[1]
M. Perkovac, “Model of an Atom by Analogy with the Transmission Line,” Journal of Modern Physics, Vol. 4, No. 7, 2013, pp. 899-903. http://dx.doi.org/10.4236/jmp.2013.47121.
[2]
H. Hansel and W. Neumann, “Physik,” Spektrum Akademischer Verlag, Heidelberg, 1995.
[3]
Czichos and Association Hütte, “Die Grundlagen der Ingenieurwissenschaften,” Springer-Verlag, Berlin, 1989.
[4]
T. Bosanac, “Teoretska elektrotehnika 1,”Tehnicka knjiga, Zagreb, 1973.
[5]
R. Rüdenberg, “Elektrische Schaltvorgange,” Julius Springer, Berlin, 1923.
[6]
D. C. Giancolli, “Physics for Scientists and Engineers,” Prentice Hall, Englewood Cliffs, 1988.
[7]
L. Page and N. I. Adams, “Electrodynamics,” D. Van Nostrand Company, Inc., New York, 1940.
[8]
M. Perkovac, “Statistical Test of Duane—Hunt’s Law and Its Comparison with an Alternative Law,” 2010. http://arxiv.org/abs/1010.6083.
[9]
M. Perkovac, “Maxwell Equations for Nanotechnology,” Proceedings of the 35th International Convention of the IEEE MIPRO, Opatija, 21-25 May 2012, pp. 429-436. http://ieeexplore.ieee.org/xpl/freeabs_all.jsp?arnumber=6240683.
[10]
M. Perkovac, “Quantization in Classical Electrodynamics,” Physics Essays, Vol. 15, No. 1, 2002, pp. 41-60. http://dx.doi.org/10.4006/1.3025509.
[11]
M. Perkovac, “Absorption and Emission of Radiation by an Atomic Oscillator,” Physics Essays, Vol. 16, 2003, pp. 162-173. http://dx.doi.org/10.4006/1.3025572.
[12]
Z. Haznadar and Z. Stih, “Elektromagnetizam,” Skolska knjiga, Zagreb, 1997.
[13]
J. D. Jackson, “Classical Electrodynamics,” John Wiley & Sons, Inc., New York, 1999.
[14]
R. D. Benguria, M. Loss and H. Siedentop, “Stability of Atoms and Molecules in an Ultrarelativistic Thomas-FermiWeizsacker Model,” Journal of Mathematical Physics, Vol. 49, 2007, Article ID: 012302. http://dx.doi.org/10.1063/1.2832620.
