论文标题
在最小长度的理论中的准位置表示
On the quasi-position representation in theories with a minimal length
论文作者
论文摘要
通常通过修改位置和动量之间的换向关系来描述具有最小长度的量子机械模型。尽管在动量空间中描述时,这代表了一个小的并发症,但至少是正式的,但是(准)位置表示会获得许多问题,即误解的来源。在这项工作中,我们回顾了这些问题,阐明了最小长度模型的某些方面,特别是指位置操作员的表示。
Quantum mechanical models with a minimal length are often described by modifying the commutation relation between position and momentum. Although this represents a small complication when described in momentum space, at least formally, the (quasi-)position representation acquires numerous issues, source of misunderstandings. In this work, we review these issues, clarifying some of the aspects of minimal length models, with particular reference to the representation of the position operator.