FINITE PARTICLE CREATION IN 1+1 DIMENSIONAL SPACETIME COMPACT IN-SPACE

In this paper we calculate the massive particle creation as seen by a stationary observer in a 1 + 1 dimensional spacetime compact in space. The Bogoliubov transformation relating the annihilation and creation operators between two spacelike surfaces is calculated. The particle creation, as observed by a stationary observer who moves from the first spacelike surface to the second, is then calculated and shown to be finite, as is expected for a spacetime with finite spatial volume.