Hawking radiation with dispersion versus breakdown of the WKB approximation

@inproceedings{Schutzhold2013HawkingRW,
  title={Hawking radiation with dispersion versus breakdown of the WKB approximation},
  author={Ralf Schutzhold and W. G. Unruh},
  year={2013}
}
Inspired by the condensed matter analogues of black holes (a.k.a. dumb holes), we study Hawking radiation in the presence of a modified dispersion relation which becomes super-luminal at large wave-numbers. In the usual stationary coordinates (t,x), one can describe the asymptotic evolution of the wave-packets in WKB, but this WKB approximation breaks down in the vicinity of the horizon, thereby allowing for a mixing between initial and final creation and annihilation operators. Thus, one might… CONTINUE READING