TITLE:
Coulomb, Yukawa, and Hooke’s Oscillations
AUTHORS:
Haiduke Sarafian
KEYWORDS:
Nonlinear Oscillations, Yukawa Force, Coulomb Force, Computer Algebra System (CAS), Mathematica
JOURNAL NAME:
American Journal of Computational Mathematics,
Vol.12 No.1,
February
21,
2022
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.