  The band calculation scheme for $f$ electron compounds is developed on the
basis of the dynamical mean field theory (DMFT) and the LMTO method. The
auxiliary impurity problem is solved by a method named as NCA$f^{2}$v', which
includes the correct exchange process of the $f^{1} \to f^{2}$ virtual
excitation as the vertex correction to the non-crossing approximation (NCA) for
the $f^{1} \to f^{0}$ fluctuation. This method leads to the correct magnitude
of the Kondo temperature, $T_{\rm K}$, and makes it possible to carry out
quantitative DMFT calculation including the crystalline field (CF) and the
spin-orbit (SO) splitting of the self-energy. The magnetic excitation spectra
are also calculated to estimate $T_{\rm K}$. It is applied to Ce metal and CeSb
at T=300 K as the first step. In Ce metal, the hybridization intensity (HI)
just below the Fermi energy is reduced in the DMFT band. The photo-emission
spectra (PES) have a conspicuous SO side peak, similar to that of experiments.
$T_{\rm K}$ is estimated to be about 70 K in $\gamma$-Ce, while to be about
1700 K in $\alpha$-Ce. In CeSb, the double-peak-like structure of PES is
reproduced. In addition, $T_{\rm K}$ which is not so low is obtained because HI
is enhanced just at the Fermi energy in the DMFT band.
