论文标题
局部狄拉克波形的反弹运动
Rebound Motion of Localized Dirac Wavefunctions
论文作者
论文摘要
结果表明,有界的局部自由狄拉克波函数的载体从无穷大收缩,随后再次扩展到无穷大。运动以光速发生在各向同性的情况下。在两者之间存在反弹的阶段,反弹的阶段在载体直径下以最小的延伸为单位的时间和空间有限。这种运动在空间中的每个方向上都在各向异性和突然进行,从而瞬间发生了从收缩到扩展的变化。渐近地,关于过去和未来,位置的概率集中在任何球形壳中,其外半径以光速增加。
It is shown that the carrier of a bounded localized free Dirac wavefunction shrinks from infinity and subsequently expands to infinity again. The motion occurs isotropicly at the speed of light. In between there is the phase of rebound, which is limited in time and space in the order of the diameter of the carrier at its minimal extension. This motion proceeds anisotropicly and abruptly as for every direction in space there is a specific time, at which the change from shrinking to expanding happens instantaneously. Asymptotically, regarding the past and the future as well, the probability of position concentrates up to 1 within any spherical shell whose outer radius increases at light speed.