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The explicit expression for the inclusive probability to record a photoncreated in transition radiation from a one Dirac particle wave packettraversing an ideally conducting plate is derived in the leading order ofperturbation theory. The anomalous magnetic moment of the Dirac particle istaken into account. It is shown that the quantum corrections to transitionradiation from an electrically charged particle give rise to production ofphotons with polarization vector orthogonal to the reaction plane ($E$-plane).These corrections result from both the quantum recoil and the finite size of awave packet. As for transition radiation produced by a neutron falling normallyonto the conducting plate, the probability to detect a photon with polarizationvector lying in the reaction plane does not depend on the observation angle andthe energy of the incident particle. The peculiarities of transition radiationstemming from different shapes of the particle wave packet are investigated. Inparticular, the transition radiation produced by the wave packet of one twistedDirac particle is described. The comparison with classical approach totransition radiation is given and the quantum formula for the inclusiveprobability to detect a photon radiated by the $N$-particle wave packet isderived.

Transition radiation from a Dirac particle wave packet traversing a mirror