A. Abada et al., RELATIVISTIC KINETIC-EQUATIONS FOR ELECTROMAGNETIC, SCALAR, AND PSEUDOSCALAR INTERACTIONS - REMARKS, Physical review. D. Particles and fields, 54(6), 1996, pp. 4175-4176
It is found that the extra quantum constraints to the spinor component
s of the equal-time Wigner function given in a recent paper by Zhuang
and Heinz should vanish identically. We point out here the origin of t
he error and give an interpretation of the result. However, the princi
pal idea of obtaining a complete equal-time transport theory by energy
averaging the covariant theory remains valid. The classical transport
equation for the spin density is also found to be incorrect. We give
here the correct form of that equation and discuss briefly its structu
re.