通过新的MDR的普朗克尺度效应
Planck-scale effect through a new MDR
摘要：
为了实现物理系统中的普朗克尺度修正，我们提出了一种新的修正色散关系（MDR）。它具有一般化的结构。在这个MDR的建设中使用的函数的具体选择，它具有洛伦兹不变性。研究了一个类似相对论谐振子的玩具模型，以得到必要的普朗克尺度修正。结果表明，谐振子的每个能级都得到了普朗克尺度修正，其结果与用广义测不准关系（GUP）对该系统所作的相同目的的结果相差很小。用该方法研究了相对论性氢原子问题，发现氢原子的各能级也像谐振子一样得到了普朗克尺度修正。
英文摘要：
In order to the expected Planck-scale correction in the physical systems we have put forwarded a novel modified dispersion relation (MDR). It has a generalized structure. A specific choice of the function used in the construction of this MDR, it has Lorentz invariance. A toy model like relativistic harmonic oscillator has been studied to get the necessary Planck-scale correction. It has been found that each laves of harmonic oscillator acquires Planck-scale correction and the result agrees with negligible deviation with the result obtained for this system for the same purpose using generalized uncertainty relation (GUP). The relativistic Hydrogen atom problem has also been studied with this MDR and it is found that like harmonic oscillator each energy level of the Hydrogen atom too has got Planck-scale correction.
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