  Assuming the spin-independence for confining force, we give a covariant quark
representation of general composite meson systems with definite Lorentz
transformation properties. For benefit of this representation we are able to
deduce automatically the transformation rules of composite mesons for general
symmetry operations from those of constituent (exciton) quarks. Applying this
we investigate especially physical implication of chiral symmetry for the meson
systems, and point out a possibility of existence of new meson multiplets.
