论文标题
Dirac量子步行与保守的角动量
Dirac quantum walks with conserved angular momentum
论文作者
论文摘要
在空间极地网上模拟平面$（1 + 2）$ D DIRAC等式的量子步行（QW）。由于费米子由不构成旋转组表示的旋转器表示，而是其双重盖，因此QW只能在全球范围内在延长的时空上定义，在该时空上，极性角度从$ 0 $延长至$4π$。还提出了QW与任意电磁场的耦合。最后，通过QW明确计算并模拟了dirac eq。\的圆柱相对论范围。
A Quantum Walk (QW) simulating the flat $(1 + 2)$D Dirac Eq.\ on a spatial polar grid is constructed. Because fermions are represented by spinors, which do not constitute a representation of the rotation group, but rather of its double cover, the QW can only be defined globally on an extended spacetime where the polar angle extends from $0$ to $4 π$. The coupling of the QW with arbitrary electromagnetic fields is also presented. Finally, the cylindrical relativistic Landau levels of the Dirac Eq.\ are computed explicitly and simulated by the QW.
