The possibilities for two-photon physics at the coming generation of heavy ion colliders is discussed. Particular attention is given to both e{sup +}, e{sup {minus}} production and resonance production of the Higgs particle. For e{sup +},e{sup {minus}} production the inadequacy of traditional perturbation theory is outlined, and through of the introduction of approximations valid for heavy ions it is shown how to sum a class of non-perturbative diagrams. The role of the nuclear form factor in suppressing the cross section for the heaviest resonances is also discussed. It is shown how this latter point affects the two-photon cross sections for W{sup +},W{sup {minus}} and Higgs production at RHIC, LHC and SSC energies
