Starting with a general one-body Hamiltonian which includes an <(alpha)over
right arrow> . (p) over right arrow term describing the coupling between o
rbital motion and the arbitrary vector field <(alpha)over right arrow>, we
investigate some properties of the semiclassical functionals of various phy
sical quantities. In particular, we show that these functionals could be wr
itten in a very compact way. An approximate expression for the noninteracti
ng total kinetic energy is given. We also show that these approximate semic
lassical functionals transform by gauge transformation exactly as the corre
sponding exact quantum functionals.