Electromagnetic radiation of quantum systems under conditions of Lorentz-invariance and CPT violation

Solutions to the Dirac equation for an electron moving in a central electrostatic and a constant uniform magnetic field are considered within extended electrodynamics (in the presence of Lorentz-invariance violation of the minimal CPT-odd form). On the basis of these solutions, the features of electromagnetic radiation from a hydrogen-like atom and the features of electron synchrotron radiation are calculated, and possible observable effects caused by the assumed Lorentz-invariance violation are described.