论文标题
量子弹药的IR形成的热力学和降低尺寸的问题
IR-deformed thermodynamics of quantum bouncers and the issue of dimensional reduction
论文作者
论文摘要
由于引力效应，我们探究了量子弹奏者系统的低温行为，作为标准量子力学的低能量修改版本中超级中子的理论模型。在一个维度上工作，使用一阶WKB近似获得了变形量子保镖的能量光谱和结合状态，并授予了粒子的非常低的能量状态。通过这种方式，我们可以研究超低中子系统的能量水平，以作为探索半经典量子引力效应的低能量表现的信息。我们计算出的超速中子的能量水平与观察到的能级一致，如在著名的Nesvizhevsky \ emph \ emph {et al。}实验中所获得的，具有负恒定变形，取决于变形参数。事先，我们通过在一个维度和三个维度上的合奏理论来解决红外弹跳系统的改良热力学，以寻求在这种半经典量子重力的低能量减小的有效，热力学降低的痕迹。 While the issue of dimensional reduction has been essentially assigned to the high energy regime, here we show that there is a trace of an effective, thermodynamic dimensional reduction in infrared regime with one important difference: in the high energy regime, the dimensional reduction effectively occurs from $D=3$ to $D=1$, but here, in this low energy regime, there is a trace of thermodynamic dimensional reduction from $D=3$ to $ d = 2 $。
We probe the low-temperature behavior of a system of quantum bouncers as a theoretical model for ultracold neutrons within a low energy modified version of the standard quantum mechanics, due to the gravitational effects. Working in one dimension, the energy spectrum and bound states of a deformed quantum bouncer are obtained using the first-order WKB approximation, granted the very low energy regime of the particle. In this manner, we can study energy levels of a system of ultracold neutrons as an informative probe towards exploring the low energy manifestation of semi-classical quantum gravitational effects. Our calculated energy levels of ultracold neutrons are in accordance with the observed energy levels, as obtained in the famous Nesvizhevsky \emph{et al.} experiment, with a negative constant deformation, as dependent on the deformation parameter. In advance, we tackle modified thermodynamics of a system of quantum bouncers in the infrared regime via an ensemble theory both in one dimension and also three dimensions, to seek for any trace of an effective, thermodynamic dimensional reduction in this low energy regime of semi-classical quantum gravity. While the issue of dimensional reduction has been essentially assigned to the high energy regime, here we show that there is a trace of an effective, thermodynamic dimensional reduction in infrared regime with one important difference: in the high energy regime, the dimensional reduction effectively occurs from $D=3$ to $D=1$, but here, in this low energy regime, there is a trace of thermodynamic dimensional reduction from $D=3$ to $D=2$.
