Abstract
An attempt is done to calculate the value of the elementary electron charge from its relation to the Planck constant and the speed of light. This relation is obtained, in the first step, from the Pauli analysis of the strength of the electric field associated with an elementary emission process of energy. In the next step, the uncertainty principle is applied to both the emission time and energy. The theoretical result for e is roughly close to the experimental value of the electron charge.
Highlights
As soon as the atomic theory of matter occured to be a right idea, there arose a tendency to describe the physical properties of matter with the aid of a possibly low number of the elementary notions concerning the atoms and their structure
In effect numerous properties of the atomic world could be represented in terms of the so-called fundamental constants of physics which are few in their number
The aim of the present paper is to demonstrate that, a reference between e, h and c can be supplied in effect of i) an elementary analysis of the forces entering the emission process of the electron energy, ii) an application of the uncertainty principle for energy and time which couples the parameters considered in i)
Summary
As soon as the atomic theory of matter occured to be a right idea, there arose a tendency to describe the physical properties of matter with the aid of a possibly low number of the elementary notions concerning the atoms and their structure. The aim of the present paper is to demonstrate that, a reference between e, h and c can be supplied in effect of i) an elementary analysis of the forces entering the emission process of the electron energy, ii) an application of the uncertainty principle for energy and time which couples the parameters considered in i). The formula (2a) allowed us to approach several problems of the elementary quantum theory, for example the spectrum of the Bohr hydrogen atom [10] and the spin mechanism [11] [12]. In order to derive (4a) two formulae for the momentum change ∆p within the time interval ∆t can be considered On the other hand the change ∆p in effect of a change of the electric field ∆E in time ∆t leads to relation e ∆E ∆t > ∆p (8)
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