Crossing and unitarity in a multichannel static model

The two channel static model has been found to be exactly and simply soluble for a range of values of the crossing matrix parameter. This thesis rederives the known elastic solutions and obtains formal power series solutions for the inelastic elements. An unexpected connection between crossing and unitarity is discovered, and finally, equations are derived which indicate that if the two channel model is extended to a multichannel model incorporating inelasticity, then there will be an infinity of channels.