介观系统中态密度与停留时间的一般关系
General relation between state density and dwell times in mesoscopic systems
摘要:
本文导出了具有任意数目入射通道的任意形状三维系统的停留时间与态密度之间的关系。这一结果推广了Gasparian等人对一维层状对称系统的特殊情形所得到的结果。我们相信,这种最广泛接受的时间与粒子的动力学和势垒区的态密度之间的强关系,平衡系统的最相关的属性之一,是丰富的物理意义。
英文摘要:
A relevant relation between the dwell time and the density of states for a three dimensional system of arbitrary shape with an arbitrary number of incoming channel is derived. This result extends the one obtained by Gasparian et al. for the special case of a layered one dimensional symmetrical system. We believe that such a strong relation between the most widely accepted time related to the dynamics of a particle and the density of states in the barrier region, one of the most relevant properties of a system in equilibrium, is rich of physical significance.
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