论文标题
通过新的MDR效应Planck级效果
Planck-scale effect through a new MDR
论文作者
论文摘要
为了在物理系统中预期的Planck级校正,我们提出了一种新颖的修饰分散关系(MDR)。它具有广义结构。该MDR构建中使用的功能的特定选择,它具有Lorentz的不变性。已经研究了像相对论谐波振荡器这样的玩具模型,以获得必要的Planck规模校正。已经发现,谐波振荡器的每种液压都可以获取普朗克规模的校正,结果与使用普遍的不确定性关系(GUP)的相同目的获得的结果一致,结果可忽略不计。同时,使用此MDR研究了相对论氢原子问题,并且发现像谐波振荡器一样,每个氢原子的每个能级也有Planck级校正。
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.