Finite-size effect in the Schwinger particle-production mechanism.
Finite-size effect in the Schwinger particle-production mechanism.
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DOI：
10.1103/physrevd.38.348
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发表时间：
1988-07
期刊：
影响因子：
--
通讯作者：
Ren-Chuan Wang;Ren-Chuan Wang;Cheuk-Yin Wong
中科院分区：
文献类型：
--
作者：
Ren-Chuan Wang;Ren-Chuan Wang;Cheuk-Yin Wong
本文将无限大系统在均匀强电场中产生粒子的Schwinger机制推广到强电场被限制在两个相距有限距离的电容器板之间的情况。玻色子和费米子的产生率都是通过求解线性矢势中的Klein-Gordon方程和Dirac方程得到的。玻色子用抛物柱面函数表示，费米子用合流超几何函数表示。这些结果的数值评估表明，生产率从一个推导出的Schwinger公式，表示一个大的有限尺寸的颗粒生产的影响大的偏差。
The Schwinger mechanism of particle production in a strong and uniform electric field for an infinite system is generalized to the case where the strong field is confined between two condenser plates separated by a finite distance. The production rates, for both bosons and fermions, are obtained by solving the Klein-Gordon equation and the Dirac equation in a linear vector potential. They are expressed in terms of parabolic cylinder functions for bosons, and in terms of the confluent hypergeometric functions for fermions. Numerical evaluation of these results shows large deviations of the production rate from what one deduces with the Schwinger formula, indicating a large finite-size effect in particle production.