Vv. Belov et al., THEORY OF SPONTANEOUS RADIATION BY BOSONS IN QUASI-CLASSICAL TRAJECTORY-COHERENT APPROXIMATION, International journal of modern physics b, 8(18), 1994, pp. 2503-2524
The first order quantum correction is obtained for the characteristics
of spontaneous radiation as a functional of a classical trajectory by
means of quasi-classical trajectory-coherent states method for relati
vistic spinless particle in an arbitrary external electromagnetic fiel
d. It is shown that the power of boson radiation coincides up to O(h2B
AR), hBAR --> 0 with the power of electron radiation averaged over spi
n states calculated by the TC-states of the Dirac equation. Certain sp
ecific examples are considered on the base of & general formula for th
e radiation power in the non-relativistic approximation, in particular
, an expression for the radiation power in an axially symmetric magnet
ic field is obtained.