Quantum corrections in the quasiclassical theory of synchrotron radiation

A simple quasiclassical deduction of all (known) quantum correction to the power of synchrotron radiation of an electron is proposed. The effects of recoil in this case are naturally separated from the radiation of the intrinsic magnetic moment right up to the second order of smallness in terms of $\hbar$. The physical sense of the quantum corrections to the power of the synchrotron radiation in this way becomes even clearer.