  We show a unified physical picture of single cyclotron electron with
radiation-reaction, which bridges the classical electron models and quantum
mechanical self-consistent field theory. On a classical level, we suggest an
improved electrodynamical action, which build the classical electron models
into a first-principle framework. The link between dynamical defections and
non-physical action configurations emerges naturally. On a quantum level, a
self-consistent description for electron gyro-motion with self-force is
constructed in the Schr\"odinger-Maxwell theory. We derive a class of
asymptotic equations. The leading and next-to-leading orders give a good
analogue of a classical cyclotron electron, and the limit field theory avoids
classical electron induced defections gracefully. Beyond the Hamiltonian
perturbation theory, we use state-of-the-art geometric simulator to observe
single electron gyro-motions at quantum region. The non-linear and
non-perturbative features captured by simulations provide a complete physical
picture in a very wide range. We show an optimal complementary relation between
classical and quantum cyclotron electrons, and find a strange and inexplicable
electron chimera state existing at strong non-linear regions, which may be
observed in astrophysical environments and strong magnetic experiments.
