Coulomb, Yukawa, and Hooke’s Oscillations

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.