| 强场中真空正负电子对产生的低密度近似 |
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| 引用本文： | 李烈娟,麦丽开·麦提斯迪克,王莉,谢柏松. 强场中真空正负电子对产生的低密度近似[J]. 北京师范大学学报(自然科学版), 2022, 58(5): 743-747. DOI: 10.12202/j.0476-0301.2022134 |
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| 作者姓名： | 李烈娟 麦丽开·麦提斯迪克 王莉 谢柏松 |
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| 作者单位： | 1.北京师范大学核科学与技术学院,100875,北京 |
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| 基金项目： | 国家自然科学基金资助项目（11875007） |
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| 摘 要： | 在空间均匀含时的强外场下真空正负电子对产生的研究中, 从散射势转变点的角度, 严格证明了源于量子Vlasov方程的低密度近似方法(low density approximation, LDA)与半经典的WKB (Wentzel-Kramers-Brillouin)方法等价．通过对典型例子进行数值计算和说明, 对这2种方法的等价性进行了检验．当有较多转变点时, WKB积分变得烦琐, 相较而言, LDA更具有计算优势．本研究将量子动力学过程和量子隧穿过程联系起来, 有助于深入理解强场下真空中正负电子对的产生过程．
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| 关 键 词： | 强场物理 正负电子对产生 低密度近似 |
| 收稿时间： | 2022-04-29 |
Low density approximation of electron-positron pair production in strong field |
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| Affiliation: | 1.College of Nuclear Science and Technology, Beijing Normal University, 100875, Beijing, China2.Institute of Radiation Technology, Beijing Academy of Science and Technology, 100875, Beijing, China |
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| Abstract: | Electron-positron pair production in time-dependent homogenous strong external electric field is investigated．For turning points of scattering potential, low-density approximation (LDA) arising from quantum Vlasov equation is proven to be equivalent to semi-classical WKB (Wentzel-Kramers-Brillouin) method．Typical examples are used to confirmed numerically the equivalency of these two methods．When there are too many turning points, WKB integrals become tedious, then LDA is a more convenient calculation technique．Our work by the combination of quantum kinetic process with quantum tunneling process will facilitate understanding of electron-positron pair production in the vacuum under strong fields． |
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