论文标题
DKP振荡器在具有扩展不确定性原理的3D空间中的精确解决方案
Exact Solutions of the DKP Oscillator in 3D Spaces with Extended Uncertainty Principle
论文作者
论文摘要
我们介绍了三维Duffin-Kemmer--petiau振荡器的精确解决方案，用于自旋0和自旋1个病例，并且在反DE保姆模型中的动量中存在最小的不确定性。在所有情况下，我们使用矢量球形谐波和Nikiforov方法的表示来确定能量特征值和特征功能。我们对能源谱的研究使我们能够定义对矢量粒子的自然和不自然平价状态的新解释，并且我们显示了自旋 - 跨越平均值之间的旋转耦合所起的至关重要的作用。
We present the exact solution of the three-dimensional Duffin--Kemmer--Petiau oscillator for both spin 0 and spin 1 cases, with the presence of minimal uncertainty in momentum in anti--de Sitter model. We use the representation of vector spherical harmonics and the Nikiforov--Uvarov method to determine exactly the energy eigenvalues and the eigenfunctions in all cases. Our study of the energy spectrum allows us to define a new interpretation of natural and unnatural parity states of the vector particle and we show the crucial role played by the spin--orbit coupling in this differentiation between the parities.
