论文标题
量子系统中高阶普遍不确定性原理的新形式的研究
Research on the new form of higher-order generalized uncertainty principle in quantum system
论文作者
论文摘要
本文提出了一个新的高级普遍不确定性原理，该原理可以同时修改动量操作员和位置操作员。此外，GUP的新形式与最小长度不确定性的存在以及主流量子引力理论提出的最大观察动量的观点是一致的。通过使用新的GUP，讨论了最大的本地化状态和征函数，并将相应的结论与现有文献进行比较。作为例子，在本文末尾进一步讨论了谐波振荡器。
This paper proposes a new high-order generalized uncertainty principle, which can modify the momentum operator and position operator simultaneously. Moreover, the new form of GUP is consistent with the viewpoint of the existence of the minimum length uncertainty and the maximum observable momentum proposed by the mainstream quantum gravity theory. By using the new GUP, the maximum localization state and position eigenfunction are discussed, and the corresponding conclusions are compared with the existing literature. The harmonic oscillator is further discussed at the end of this article as an example.
