论文标题
宇宙粒子生产的确切WKB
The exact WKB for cosmological particle production
论文作者
论文摘要
宇宙学颗粒产生中的Bogoliubov转化可以通过相应的普通微分方程的Stokes现象来解释。就解决方案描述了特殊函数而言，计算变得非常简单。否则，计算需要更多的策略，其中确切的WKB（EWKB）可能是一个强大的工具。使用EWKB，我们讨论了宇宙学粒子的产生，重点是更一般的相互作用和经典散射的效果。当Schrödinger方程的相应散射问题在轨迹上形成经典转折点时，就会出现经典散射。还使用Landau-Zener模型讨论了较高的费米式预热过程。
The Bogoliubov transformation in cosmological particle production can be explained by the Stokes phenomena of the corresponding ordinary differential equation. The calculation becomes very simple as far as the solution is described by a special function. Otherwise, the calculation requires more tactics, where the Exact WKB (EWKB) may be a powerful tool. Using the EWKB, we discuss cosmological particle production focusing on the effect of more general interaction and classical scattering. The classical scattering appears when the corresponding scattering problem of the Schrödinger equation develops classical turning points on the trajectory. The higher process of fermionic preheating is also discussed using the Landau-Zener model.
