  Generation of the cosmological baryon asymmetry in frameworks of spontaneous
baryogenesis is studied in detail. It is shown that the relation between
baryonic chemical potential and the time derivative of the (pseudo)Goldstone
field essentially depends upon the representation chosen for the fermionic
fields with non-zero baryonic number (quarks). Kinetic equation is modified and
numerically solved in equilibrium for the case of time dependent external
background or finite integration time to be applicable to the case when energy
conservation law is formally violated.
