  We show that a kind of displacement induced temporary electric force of a
single point charge can be derived by using Maxwell stress analysis. This force
comes from the variation of the charge's electric intensities that follow
Coulomb's inverse square law, and it is a kind of displacement dependent
temporary restoring force. We also show the possible existence of natural
self-oscillation of a free electron which is driven by this restoring
self-force of its own electric fields.
