量子箍缩效应

摘要：

本文研究了对称规范中受{ \em径向}约束谐振势和外加磁场作用的二分量准一维柱形量子等离子体。结果表明，这种可以在半导体量子线中实现的系统为在低温下观察量子箍缩效应提供了一种很好的介质。一个精确的解析解的问题，使我们能够作出重要的观察：令人惊讶的是，在经典的捏效应，粒子密度以及电流密度显示{ \em determinable}最大值之前，在量子线的表面达到最小值。只要平衡的电子对密度持续，这种效应就会持续。因此，出现的技术承诺是精确的电子设备，将控制粒子束在纳米级的路线。

英文摘要：

We investigate a two-component, cylindrical, quasi-one-dimensional quantum plasma subjected to a {\em radial} confining harmonic potential and an applied magnetic field in the symmetric gauge. It is demonstrated that such a system as can be realized in semiconducting quantum wires offers an excellent medium for observing the quantum pinch effect at low temperatures. An exact analytical solution of the problem allows us to make significant observations: surprisingly, in contrast to the classical pinch effect, the particle density as well as the current density display a {\em determinable} maximum before attaining a minimum at the surface of the quantum wire. The effect will persist as long as the equilibrium pair density is sustained. Therefore, the technological promise that emerges is the route to the precise electronic devices that will control the particle beams at the nanoscale.

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