Hawking Radiation of Dirac Particles in 1+1 Dimensional Nonstatic Black Hole

This letter is devoted to the discussion of the Hawking radiation of Dirac particles in 1 + 1 dimensional space-time. The general nonstatic 1 + 1 dimensional metric is used to calculate the radiant spectrum and the expression of radiation temperature, which, as an example, verifies the quantum-mechanical instability in black hole due to Hawking radiation.