论文标题
基于最大长度不确定性的量子力学的路径积分形式的一致方法
A consistent approach to the path integral formalism of quantum mechanics based on the maximum length uncertainty
论文作者
论文摘要
我们已经开发了一个适当的路径积分形式主义，与量子力学的变形版本一致，该版本包含在宇宙学中存在的宇宙学粒子层的最大可观察长度尺度。首先，我们对经典力学进行了修改，后者对粒子运动方程式显示了非最小影响。接下来，我们提供了变形的量子机械代数的表示。借助此代数，我们在此变形背景下计算了路径积分传播器的一般形式。最后，作为最简单的情况，我们已经建立了自由粒子传播器的明确形式。在这种情况下，对游离粒子传播器的修改显示出一些非平凡的影响，这可能具有重要意义。
We have developed a proper path integral formalism consistent with the deformed version of the quantum mechanics which contains a maximum observable length scale at the order of the Cosmological particle horizon, existing in cosmology. First, we have presented the modifications to the classical mechanics which shows non-minimal effects on the equation of motion of a particle. Next, we have provided representation of the deformed quantum mechanical algebra. With this algebra in hand, we have calculated the general form of the path integral propagator in this deformed background. Finally, as a most simple case, we have built up the explicit form of the free particle propagator. The modifications to the free particle propagator shows some non-trivial effects in this case, which can have some important significance.
