Model of an Atom by Analogy with the Transmission Line

Milan Perkovac

The First Technical School Tesla, Zagreb, Croatia.

DOI: 10.4236/jmp.2013.47121                

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.

Keywords

Lecher Transmission Line; Lorentz’ Theory of Electrons; Maxwell’s Equations; Model of Atom; Planck Constant; Structural Constant; Transverse Mass; Wave Equation

Conflicts of Interest

The authors declare no conflicts of interest.

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