arXivDaily arXiv每日学术速递 周一至周五更新
arXiv quant-ph/0108069quant-ph
收藏

量子反离心力

Quantum anti-centrifugal force

M. A. Cirone, K. Rzazewski, W. P. Schleich, F. Straub, J. A. Wheeler

摘要:

在二维世界中,角动量为零的自由量子粒子受到吸引力。这种力源于由于粒子的波动性质而对经典离心力的修改。对于正能量,量子反离心力表现为能量波函数的节点向原点聚集。对于负能量,这个力足以在二维δ函数势中产生束缚态。引力以一种反直觉的方式将粒子推离δ函数势的位置。结果,粒子被定位在原点周围的带状区域中

英文摘要:

In a two-dimensional world a free quantum particle of vanishing angular momentum experiences an attractive force. This force originates from a modification of the classical centrifugal force due to the wave nature of the particle. For positive energies the quantum anti-centrifugal force manifests itself in a bunching of the nodes of the energy wave functions towards the origin. For negative energies this force is sufficient to create a bound state in a two-dimensional delta function potential. In a counter-intuitive way the attractive force pushes the particle away from the location of the delta function potential. As a consequence, the particle is localized in a band-shaped domain around the origin

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑