势阶的四元数扩散
Quaternionic Diffusion by a Potential Step
摘要：
在寻找量子物理理论的四元数和复公式之间的定性差异时，我们详细讨论了存在四元数与时间无关的势阶时波包的行为。在本文中，我们限制我们的注意力扩散现象。对于群速度的波包移动的潜在区域和反射和透射时间，研究表明，复杂的和四元数的配方，这可能是进一步的理论讨论的问题，并可能代表一个可能的实验研究的起点之间的显着差异。
英文摘要：
In looking for qualitative differences between quaternionic and complex formulations of quantum physical theories, we provide a detailed discussion of the behavior of a wave packet in presence of a quaternionic time-independent potential step. In this paper, we restrict our attention to diffusion phenomena. For the group velocity of the wave packet moving in the potential region and for the reflection and transmission times, the study shows a striking difference between the complex and quaternionic formulations which could be matter of further theoretical discussions and could represent the starting point for a possible experimental investigation.
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