[en] Explicit expressions are derived for the momentum-space Green functions in simple systems consisting of scalar 'quarks' confined within a square well, or 'bag' in 1 + 1 dimensions. Single quark propagators do not appear. The green function for the bound system is an entire function of the external quark momenta, as suggested by Preparata, and has no singularities corresponding to free quarks; but it does have singularities corresponding to the bound states of the system. For large external quark momenta, the Green function behaves like that for free quarks: the momentum exchanged between constituents becomes negligible. This gives rise to Bjorken scaling in deep inelastic scattering. Comparisons are made with the standard quark-proton model, and with the massive quark model of Preparata et al. (Auth.)