有限空间中的有效长程相互作用
Effective Long-Range Interactions in Confined Curved Dimensions
摘要：
我们探讨了有效的长程相互作用的带电粒子局限于一个弯曲的低维流形使用的螺旋几何形状的例子。与自由空间中的库仑相互作用相反，受限粒子经历随着粒子之间的距离振荡的力。这导致稳定的平衡配置和相应的诱导束缚态的数量是可调的螺旋的参数。我们证明了存在过多的平衡的几体链具有不同的对称性，允许自由移动。提供了一个大纲有关的多体螺旋链的影响。
英文摘要：
We explore the effective long-range interaction of charged particles confined to a curved low-dimensional manifold using the example of a helical geometry. Opposite to the Coulomb interaction in free space the confined particles experience a force which is oscillating with the distance between the particles. This leads to stable equilibrium configurations and correspondingly induced bound states whose number is tunable with the parameters of the helix. We demonstrate the existence of a plethora of equilibria of few-body chains with different symmetry character that are allowed to freely move. An outline concerning the implications on many-body helical chains is provided.
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