  We study the coherent properties of fully screened and overscreened Kondo
effects based on the Nozieres local Fermi-liquid theory and Affleck-Ludwig
boundary conformal-field-theory approach, respectively. Coherent transports
through an SU($N)$ generalization of fully screened and the
multi-$\mathcal{K}$-channel overscreened Kondo impurities at and beyond the
particle-hole (PH) symmetric point are thoroughly investigated. We report
distinctive Fermi-liquid coefficients characterizing the finite temperature
correction to the transmission phase shift and normalized visibility in fully
screened Kondo regime, which can be measured with the existing experimental
setups. Our work equally uncovers the significance of temperature correction to
the transmission phase shift and visibility in non Fermi-liquid regime
associated with the PH asymmetric overscreened Kondo effects with an arbitrary
number of conduction channels $\mathcal{K}$. We propose viable roots of
verifying our predictions in connection to the recent experiments, in
particular with the experiments studying highly symmetric forms of fully
screened Kondo effects and two-channel overscreened Kondo effects realized in
quantum dot nano-structures.
