Concrete quantum tunneling spectrum of Schwarzschild black holes

In this paper, a canonical ensemble model for black hole quantum tunneling radiation is introduced. We find that the probability distribution function is the same as the emission rate of a spherical shell in the Parikh-Wilczek tunneling framework. With this model, the probability distribution function corresponding to the emission shell system is calculated. Therefore, the concrete quantum tunneling spectrum of the Schwarzschild black hole is obtained.