Consider a strictly convex set Ω in the plane, and a homogeneous, stationary magnetic field orthogonal to the plane whose strength is B on the complement of Ω and 0 inside Ω. The trajectories of a charged particle in this setting are straight lines concatenated with circular arcs of Larmor radius μ. We examine the dynamics of such a particle and call this inverse magnetic billiards. Comparisons are made to standard Birkhoff billiards and magnetic billiards, as some theorems regarding inverse magnetic billiards are consistent with each of these billiard variants while others are not.

中文翻译：

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关于反磁台球的动力学

考虑平面中的严格凸集 Ω，以及与平面正交的均匀、静止磁场，其强度为Ω 的补集上的B和 Ω 内的 0。在此设置中，带电粒子的轨迹是与拉莫尔半径μ 的圆弧连接的直线。我们研究了这种粒子的动力学并将其称为逆磁台球。对标准 Birkhoff 台球和磁性台球进行了比较，因为一些关于逆磁性台球的定理与这些台球变体中的每一个一致，而另一些则不是。