信息与量子理论：一维系统的分析
Information and quantum theories: an analysis in one-dimensional systems
摘要：
我们在教学上呈现最初建立的信息理论，解释其基本思想，并注意用于测量信息量的表达。讨论了信息与量子理论的关系。在这种情况下，我们确定的信息熵的位置，$S_x$和动量，$S_p$，空间，除了熵和$S_t$。在这里，我们使用修改后的熵表达式，是维数一致的。通过分析概率密度，利用傅里叶变换的归一化常数和性质，对$S_x$、$S_p$和$S_t$值的行为给出了新颖的解释.我们验证了熵不确定性关系，并检验了标准差和信息熵作为量子不确定性的度量。我们感兴趣的系统是处于基态和激发态的一维单粒子量子系统。
英文摘要：
We pedagogically present the information theory as originally established, explaining its essential ideas and paying attention to the expression employed to measure the amount of information. Also we discussed relationships between information and quantum theories. In this context we determined the information entropies on position, $S_x$, and momentum, $S_p$, spaces, besides the entropy sum $S_t$. Here, we use the modified entropic expressions that are dimensionally consistent. We provide original explanations for the behaviors of the $S_x$, $S_p$ and $S_t$ values analyzing the probability densities and by means of the normalization constants and properties of Fourier transform. We validate the entropic uncertainty relation and inspect the standard deviation and information entropies as measures of quantum uncertainty. The systems of interest unidimensional one-article quantum systems in ground and excited states.
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。
