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arXiv 2005.12258gr-qchep-thquant-ph
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关于极小长度理论中的拟位置表示

On the quasi-position representation in theories with a minimal length

Pasquale Bosso

摘要:

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对易关系来描述。虽然这在动量空间中描述时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,误解的来源。在这项工作中,我们回顾这些问题,澄清一些方面的最小长度模型,特别是位置算子的表示。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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