论文标题
在空间平坦的FLRW空间时间中，免费狄拉克场的时间演变
Time evolution of the free Dirac field in spatially flat FLRW space-times
论文作者
论文摘要
在空间平坦的FLRW空间时间上，相对论量子力学的框架被认为是在这些歧管的不同局部图表中得出狄拉克方程的分析解决方案的。通勤保守的运营商的系统用于确定基本解决方案，作为常见的特征派剂，从而赋予与这些操作员特征值相关的集成常数的物理含义。由于这些系统通常在FLRW空间时不完整，因此必须通过将真空设置为传统绝热的集成常数，或者是我们最近提出的REST框架真空。在所有细节中讨论了这些歧管上狄拉克方程的所有已知解，并且首次在此处首次报道了de Sitter扩展宇宙中给定能量的新型球形波。
The framework of the relativistic quantum mechanics on spatially flat FLRW space-times is considered for deriving the analytical solutions of the Dirac equation in different local charts of these manifolds. Systems of commuting conserved operators are used for determining the fundamental solutions as common eigenspinors giving thus physical meaning to the integration constants related to the eigenvalues of these operators. Since these systems, in general, are incomplete on the FLRW space-times there are integration constants that must be fixed by setting the vacuum either as the traditional adiabatic one or as the rest frame vacuum we proposed recently. All the known solutions of the Dirac equation on these manifolds are discussed in all details and a new type of spherical waves of given energy in the de Sitter expanding universe is reported here for the first time.
