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On the quasi-position representation in theories with a minimal length
Classical and Quantum Gravity ( IF 3.6 ) Pub Date : 2021-03-16 , DOI: 10.1088/1361-6382/abe758
Pasquale Bosso

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.



中文翻译:

论最小长度理论中的准位置表示

具有最小长度的量子力学模型通常通过修改位置和动量之间的换向关系来描述。尽管在动量空间中描述时,这代表了一个小的复杂性,至少在形式上,(准)位置表示获得了许多问题,是误解的根源。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一些方面,特别是关于位置算子的表示。

更新日期:2021-03-16
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