  We theoretically study physical properties of the low-energy quasiparticle
excitations at the vortex core in the full-gap superconducting state of the
Kondo lattice coupled to compensated metals. Based on the mean-field
description of the superconducting state, we numerically solve the
Bogoliubov-de Gennes (BdG) equations for the tight-binding Hamiltonian. The
isolated vortex is characterized by a length scale independent of the magnitude
of the interaction and the energy level of the core bound state is the same
order as the bulk gap. These properties are in strong contrast to the
conventional s-wave superconductor. To gain further insights, we also consider
the effective Hamiltonian in the continuous limit and construct the theoretical
framework of the quasiclassical Green's function of conduction electrons. With
the use of the Kramer-Pesch approximation, we analytically derive the spectral
function describing the quasiparticle excitations which is consistent with the
numerics. It has been revealed that the properties of the vortex bound state
are closely connected to the characteristic odd frequency dependence of both
the normal and anomalous self-energies which is proportional to the inverse of
frequency.
