Abstract
The radiation reaction of electrons and positrons in a magnetic field is discussed using quantum electrodynamics based on the exact solution of Dirac's equation. One quantum number arising from this solution is found to depend on the position of the centre of gyration. The change in this quantum number under the emission or absorption of radiation is interpreted as a change in the centre of gyration, which leads to a classical current. A conservation law for momentum components in the xy plane may be derived from this interpretation. 'Quantum broadening' is reinterpreted as a change in the gyrocentre instead of a spread in the wavefunction. The concept of recoil is generalised to include processes involving pair production and annihilation.
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