  We discuss the non-relativistic multichannel quark model and describe the
techniques developed to solve the resulting equations. We then investigate some
simple solutions to demonstrate how the model unifies meson-meson scattering
with meson spectroscopy, thereby greatly extending the domain of applicability
of the naive quark model. In the limits of narrow resonance widths and no quark
exchange, it reproduces the standard quark model spectroscopy and Breit-Wigner
phase description. Outside those limits s-channel resonance masses are lowered
by their two-meson couplings, the line-shapes of wide resonances are
significantly altered, and the equivalent Breit-Wigner masses and widths show
an energy dependence. Because meson-meson interactions are due to coherent
s-channel resonance production and t-channel quark exchange (though other
interactions can readily be added), the multichannel equations model
experimental resonance production and decay in a way that the usual eigenvalue
equations cannot.
