Fermilab has undertaken a series of upgrades to the TEVATRON to increase the luminosity of the collider. During the 1988–1989 collider run, the peak luminosity was limited to approximately 1.6×1030cm−2sec−1. This limit was set by the head‐on beam‐beam tuneshift of 0.025. Increasing the luminosity requires decreasing the tuneshift. The principle upgrade in the TEVATRON is the installation of electrostatic separators to separate the beams both horizontally and vertically at all crossings expect the experimental interactions regions. Introduction of separators has substantial implications for beam dynamics in the TEVATRON, and I will describe some of the accelerator physics issues which must be solved.