A Study on the Availability of Viewing the Atomic Nucleus as a Point Charge

Abstract

In the application science fields, many precursory theoretical researches usually view the atomic nucleus as a point charge to derive some physical properties. The results are usually very near to the experiment values. It proves that viewing the atomic nucleus as a point charge is a convenient and available method. This viewpoint has been adopted by scientists and made many applications, especially on the semiconductor field. In the paper, the availability of this viewpoint will be checked by a purely theoretical method. The reason why we can adopt this viewpoint will be discussed. The restriction of this view point will be discussed at last. Because there is only one electron which orbits the n-type dopantion, the 1s ground state energy level of the hydrogen-like ion system would be the only object checked in this paper. The 1s ground state energy level is the most important physical parameter so that checking its value is nearly equal to checking the availability of viewing the nucleus as a point charge. The importance and practicability of this paper is it can be used to examine the degree of the error for adopting this viewpoint. The contributions of this paper are: (a) Providing a theoretical basis for current material sciences which adopted such a viewpoint. (b) Forecasting the unavailability of this viewpoint in some high energy physics cases so that the expensive budget for the relevant experiments may be transferred to other uses. The tools used in the paper contain the probability function and disturbance theory in wave mechanics.