In this paper, we focus, at first, on the exact solutions on the one-dimensional Dirac oscillator with the energy-dependent potentials. Then, the influence of these solutions on the Shannon entropy and Fisher information, well-known in quantum information, has been studied. In this direction, we concentrated on the determination of the position and momentum information entropies for the low-lying states n=0,1,2. Some interesting features of both Fisher and Shannon densities as well as the probability densities are demonstrated. Finally, the Fisher uncertainty relation, Stam, Cramer–Rao and Bialynicki–Birula–Mycielski (BBM) inequalities have been checked and their comparison with the regarding results have been reported. We showed that the BBM inequality is still valid in the form \(S_{x}+S_{p}\ge 1+\text {ln}\pi \).

在本文中，我们首先关注具有能量相关势的一维Dirac振荡器的精确解。然后，研究了这些解对量子信息中众所周知的香农熵和费舍尔信息的影响。在这个方向上，我们专注于确定低躺状态n = 0,1,2的位置和动量信息熵。Fisher和Shannon密度以及概率密度都表现出一些有趣的特征。最后，检查了费舍尔不确定性关系，Stam，Cramer-Rao和Bialynicki-Birula-Mycielski（BBM）不等式，并报道了它们与相关结果的比较。我们证明了BBM不等式在形式上仍然有效\（S_ {x} + S_ {p} \ ge 1+ \ text {ln} \ pi \）。