量子反离心力
Quantum anti-centrifugal force
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
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