论文标题
Feynman Checkers：外部电磁场和渐近特性
Feynman checkers: external electromagnetic field and asymptotic properties
论文作者
论文摘要
我们研究Feynman Chekers - 电子运动的最基本模型之一。它也被称为在虚构温度下的一维量子步行或ISING模型。我们将最简单的非平凡电磁场添加到该模型中，并在小晶格步骤和大时的时间内找到所得模型的极限，类似于J. Narlikar 1972和G. G. G. G. Jason -S. Jason -P. Scudo，2000年代的Scudo。事实证明，模型中的限制是通过质量重新归一化的，而没有磁场的已知限制。我们还为所得模型找到了一个精确的解决方案。
We study Feynman chekers - one of the most elementary models of electron motion. It is also known as one-dimensional quantum walk or an Ising model at imaginary temperature. We add the simpliest nontrivial electromagnetic field to the model and find the limits of the resulting model for a small lattice step and a large time, similar to the results by J. Narlikar 1972 and G. Grimmet - S. Jason - P. Scudo from the 2000s. It turns out that the limits in the model with the field are obtained from the known ones without a field by a mass renormalization. We also find an exact solution for the resulting model.
