AI 中文总结
研究基于量子态对弱局部态转换的敏感性表征量子运动,逆敏感性可作局部运动通过速度,单个WKB分支能再现局部色散速度,相对论扩展得出相关速度界限,确定约化康普顿波长为最短静止消逝长度尺度。
AI 中文摘要
我们基于量子态对弱局部态转换的敏感性来表征量子运动。逆敏感性可解释为表征局部运动的通过速度,与概率传输无关。对于单个WKB分支,它在传播和消逝区域都再现了局部色散速度的大小。相对论扩展产生了一个以光速为界的通过速度,在对应于质量间隙中心的有限能量处达到此界限,此时消逝衰减长度等于约化康普顿波长。这将约化康普顿波长确定为与相对论量子运动兼容的最短静止消逝长度尺度。
英文摘要
We characterize quantum motion through the susceptibility of a quantum state to weak localized state conversion. The susceptibility can be related to a passage speed characterizing local motion independently of probability transport. For individual WKB branches, it reproduces the magnitude of the local dispersion velocity in both propagating and evanescent regions. In the relativistic theory, the inferred passage speed is bounded by the speed of light, reaching this bound at the finite energy corresponding to the center of the mass gap, where the evanescent decay length equals the reduced Compton wavelength. This identifies the reduced Compton wavelength as the shortest stationary
Comments6 pages, 3 figures