TITLE:
Model of an Atom by Analogy with the Transmission Line
AUTHORS:
Milan Perkovac
KEYWORDS:
Lecher Transmission Line; Lorentz’ Theory of Electrons; Maxwell’s Equations; Model of Atom; Planck Constant; Structural Constant; Transverse Mass; Wave Equation
JOURNAL NAME:
Journal of Modern Physics,
Vol.4 No.7,
July
4,
2013
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.