  In the framework of the perturbation theory of the nonrelativistic quantum
electrodynamics, a theory of spontaneous emission of a chiral molecule located
near a chiral (bi-isotropic) spherical particle is developed. It is shown that
the structure of photons in the presence of chiral spherical particles differs
significantly from the structure of TE or TM photons. Exact analytical
expressions for the spontaneous emission radiative decay rate of a chiral
molecule with arbitrary electric and magnetic dipole moments of transition
located near a chiral spherical particle with arbitrary parameters are obtained
and analyzed in details. Simple asymptotes for the case of a nanoparticle are
obtained. Substantial influence of even small chirality on a dielectric or
"left-handed" sphere is found. It is shown that by using chiral spherical
particles it is possible to control effectively the radiation of enantiomers of
optically active molecules.
