Time crystals from minimum time uncertainty

被引：0
|
作者：
Mir Faizal
Mohammed M. Khalil
Saurya Das
机构：
[1] University of Waterloo,Department of Physics and Astronomy
[2] Alexandria University,Department of Electrical Engineering
[3] University of Lethbridge,Department of Physics and Astronomy
来源：
The European Physical Journal C | 2016年 / 76卷
关键词：
Spontaneous Emission; Temporal Part; Loop Quantum Gravity; Generalize Uncertainty Principle; Planck Length;
D O I：
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学科分类号：
摘要：
Motivated by the Generalized Uncertainty Principle, covariance, and a minimum measurable time, we propose a deformation of the Heisenberg algebra and show that this leads to corrections to all quantum mechanical systems. We also demonstrate that such a deformation implies a discrete spectrum for time. In other words, time behaves like a crystal. As an application of our formalism, we analyze the effect of such a deformation on the rate of spontaneous emission in a hydrogen atom.
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