论文标题
非本地性和时间依赖的边界条件：klein-gordon的观点
Non-locality and time-dependent boundary conditions: a Klein-Gordon perspective
论文作者
论文摘要
在Klein-Gordon框架中研究了单个粒子图片保持有效的制度，在Klein-Gordon框架中研究了粒子的动力学。空腔膨胀代表了相对论波函数的时间相关边界条件。我们表明，这种膨胀会引起对整个腔内电流密度的非本地影响。我们的结果表明，一种相对论的处理仍然包含传统上与从施罗丁格方程获得的非相关溶液固有的未结合速度相关的虚假效应。讨论了这种行为的可能原因。
The dynamics of a particle in an expanding cavity is investigated in the Klein-Gordon framework in a regime in which the single particle picture remains valid. The cavity expansion represents a time-dependent boundary condition for the relativistic wavefunction. We show that this expansion induces a non-local effect on the current density throughout the cavity. Our results indicate that a relativistic treatment still contains apparently spurious effects traditionally associated with the unbounded velocities inherent to non-relativistic solutions obtained from the Schroedinger equation. Possible reasons for this behaviour are discussed.
