HILBERT-SPACE REPRESENTATION OF THE MINIMAL LENGTH UNCERTAINTY RELATION
HILBERT-SPACE REPRESENTATION OF THE MINIMAL LENGTH UNCERTAINTY RELATION
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DOI：
10.1103/physrevd.52.1108
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发表时间：
1995-07-15
影响因子：
5
通讯作者：
MANN, RB
中科院分区：
文献类型：
--
作者：
KEMPF, A;MANGANO, G;MANN, RB
在量子引力和弦理论中，最小可见长度的存在一直被认为是存在的。在此背景下，导出了一种广义不确定关系，该关系从理论上将最小长度描述为位置测量中的最小不确定度。在这里，我们详细地研究了这种不确定关系背后的量子力学结构。
The existence of a minimal observable length has long been suggested in quantum gravity as well as in string theory. In this context a generalized uncertainty relation has been derived which quantum theoretically describes the minimal length as a minimal uncertainty in position measurements. Here we study in full detail the quantum-mechanical structure which underlies this uncertainty relation.