%0 Journal Article %T On the existence of natural self-oscillation of a free electron %A Zhixian Yu %A Liang Yu %J Physics %D 2012 %I arXiv %X The possibility of the existence of natural self-oscillation of a free electron is suggested. This oscillation depends on the interaction of the electron with its own electromagnetic fields. Suitable standing wave solutions of the electromagnetic fields are chosen. A kind of displacement dependent electric potential and mechanism of energy exchange between velocity and acceleration dependent electromagnetic fields are analyzed. Conditions for the existence of natural self-oscillation are given. %U http://arxiv.org/abs/1201.2224v3