AI 中文总结
该研究通过全阶费曼图求和建立非微扰量子场论计算方法，实现旋量隧穿振幅的解析与数值计算，矩形势垒下其结果与相对论量子力学结果一致，为后续场论修正计算提供基础。
AI 中文摘要
本研究对旋量通过势垒的隧穿进行了非微扰量子场论计算。在位置空间势形式框架内，我们识别出形成自洽积分方程的耦合递推关系。该方法可同时支持解析与数值途径，转化为适用于任意势的数值框架以及特定势垒的解析精确结果的形式体系。对于矩形势垒，量子场论导出的振幅重现了相对论量子力学（RQM）的结果，为未来计算超越RQM的场论修正奠定了基础。
英文摘要
This work presents a non-perturbative quantum field theoretic computation of spinor tunnelling through a potential barrier. Within position space potential formalism, we identify coupled recursion relations forming a self-consistent integral equation. Our method, enabling both analytical and numerical approaches, transforms into a formalism admitting both numerical framework for arbitrary potentials and analytical exact results for select barriers. For the rectangular barrier, the QFT-derived amplitudes reproduce the relativistic quantum mechanical (RQM) results, thus establishing a foundation for future calculation of beyond-RQM field-theoretic corrections.
Comments10 pages, 1 figure
