三维散射中的概率流龙卷风环
Probability current tornado loops in three-dimensional scattering
摘要:
我们考虑三维粒子在有限族δ势上的散射。对于某些参数值,散射波的节线呈现为闭合回路的形式,它们可以接触但不纠缠。相应的概率电流在这些线周围形成涡旋奇点;如果散射粒子带电,就会产生磁通量环。这些结论可推广到硬障碍物或光滑势面上的散射。
英文摘要:
We consider scattering of a three-dimensional particle on a finite family of delta potentials. For some parameter values the scattering wavenctions exhibit nodal lines in the form of closed loops, which may touch but do not entangle. The corresponding probability current forms vortical singularities around these lines; if the scattered particle is charged, this gives rise to magnetic flux loops. The conclusions extend to scattering on hard obstacles or smooth potentials.
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