Abstract
Oscillations due to three different forces in three areas of physics: electrostatic, nuclear, and mechanics, are analyzed. The electrostatic long-range Coulomb force has a different character than the nucleonic short-range Yukawa force. Both are different from the linear Hooke’s force. The equation of motion of each case is solved applying a Computer Algebra System (CAS). It is shown that these oscillations have similarities and differences. Phase diagrams of all three cases are compared.
Highlights
We consider three distinct areas of physics: mechanical, electrical, and nuclear
The electrostatic long-range Coulomb force has a different character than the nucleonic short-range Yukawa force
We set an objective to compare the impact of the Coulomb and the Yukawa force for oscillations of paired massive point-like objects
Summary
We consider three distinct areas of physics: mechanical, electrical, and nuclear. We search a common scenario overlapping these areas, i.e., oscillations. In the area of mechanics, we consider a linear retractable force, namely a spring that is subject to Hooke’s law [1]. The impact of this force on a massive object is linear oscillations. A setup like the previous case, a paired of charges and an inclined are considered. The nucleonic interaction, the Yukawa force [3] is the strengthened version of the Coulomb force With these envisioned common settings, a forum is set to compare the characteristics of the induced oscillations
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