Abstract
We investigate the particle creation caused by a nonlinear dispersion relation for a massless scalar field propagating on a background curved spacetime in two dimensions. The dispersion relation adopted agrees with the standard dispersion relation at long wavelengths but is modified at short wavelengths, the division being characterized by a new length scale ${1/k}_{0}$. We consider both spacetimes with and without a black hole. Those without contain instead a uniformly moving ``bump.'' The black hole cases considered have Hawking temperatures ${T}_{H}g{k}_{0}/100$. We find that the particle creation arises in all cases from two effects: scattering and mode conversion. The latter was identified by Corley and Jacobson as the phenomenon responsible for the Hawking effect.
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