论文标题
空闲时间依赖时间有效质量的动力学
Dynamics of free time-dependent effective mass
论文作者
论文摘要
共识是，具有较大质量的对象不会表现出量子行为。因此，我们期望在质量分布不断增长的时间内，时间依赖性有效质量（TDEM）的量子性将消除。但是，本文描述了Wigner Quasi-obybility分布（WQD）将永远表现出两个空间分离的自由TDEM的纠缠行为。带有TDEM的自由粒子的时间依赖性schrödinger方程在Lewis-Riesenfeld相位空间不变方法的帮助下解决。对于两个相同TDEM的系统，WQD具有二次增加的质量分布，表明颗粒永远不会分开。特别是，它们的让人联想到永远存在的相位空间的起源。
The consensus is that an object with a large mass will not manifest quantum behavior. Therefore, we expect that the quantumness of a time-dependent effective mass (TDEM) will erase after a long time when the mass profile continuously grows with time. However, the present article depicts that the Wigner quasi-probability distribution (WQD) will manifest an entanglement behavour forever for two spatially separated free TDEM. The time-dependent Schrödinger equation for a free particle with TDEM is solved with the help of Lewis-Riesenfeld phase space invariant method. WQD for the system of two identical TDEM with quadratically increasing mass profile shows that the particles are never separated. In particular, their reminiscent is present at the origin of the phase-space forever.
