In this paper we present a method for calculating the total probability corresponding to the processes of fermion pair production in dipole magnetic field and external Coulomb field in a de Sitter geometry. For that we rewrite the amplitudes in terms of oscillatory functions and we use the Taylor expansion of these functions for arriving at the final form of the momenta integrals. The total probability is analysed in terms of the ratio between the mass of the fermion and the Hubble parameter and we recover the Minkowski limit when the Hubble parameter is vanishing. Finally it is proven that from our results we can compute the number of fermions in terms of Hubble parameter.

在本文中，我们提出了一种计算与de Sitter几何中偶极子磁场和外部库仑场中的费米子对产生过程相对应的总概率的方法。为此，我们用振荡函数来重写幅度，并使用这些函数的泰勒展开来求得矩积分的最终形式。根据费米子质量与哈勃参数之间的比率分析总概率，当哈勃参数消失时，我们恢复了Minkowski极限。最终证明，根据我们的结果，我们可以根据哈勃参数计算费米子数。