论文标题
从协变量的普遍不确定性原理中修改的量子力学
The Modified Quantum Mechanics from the Covariant Generalized Uncertainty Principle
论文作者
论文摘要
可以使用广义不确定性原理（GUP）将最小可测量的长度纳入量子重力。在存在引力效应的情况下，具有最小的时间间隔以及相对论版本的量子力学版本的最小长度可能很有趣。在本文中，我们考虑了广义不确定性原理的协方差版本，以研究最小时间和最小长度的影响。使用协变量的GUP，可以修改能量弹药分散关系。从修饰的分散关系开始，可以获得对波函数的校正，并重新审视盒子和氢原子中粒子的问题。
One can use the generalized uncertainty principle (GUP) to incorporate the minimum measurable length in quantum gravity. It may be interesting to have a minimal time interval as well as the minimal length in the relativistic version of quantum mechanics in the presence of the gravitational effects. In this paper, we consider a covariant version of the generalized uncertainty principle to investigate the effects of both the minimal time and the minimal length. Using the covariant GUP, the energy-momentum dispersion relation is modified. Starting with the modified dispersion relation, the corrections to the wave function are obtained and the problems of the particle in a box and the Hydrogen atom are revisited.
