论文标题
正方形上的反磁台球
Inverse-Magnetic Billiards on a Square
论文作者
论文摘要
我们在二维平面上考虑一个多边形，该平面具有均匀的恒定磁场与该平面正交，但是在多边形内，磁场为零。我们研究在这种情况下具有初始速度的电子的动力学。出现问题是因为我们与角落有边界。在方形案例中，我们概括了具有合理斜率的速度，并显示出与其他初始条件的混乱行为一样的数值证据。
We consider a polygon in a two-dimensional plane with a homogeneous constant magnetic field orthogonal to such plane, but inside the polygon, the magnetic field is zero. We study the dynamics of an electron with an initial velocity in this setting. Problems arise because we have a boundary with corners. In the square case, we generalize velocities with a rational slope and show numerical evidence of a chaotic-like behavior with other initial conditions.
