标题： 弯曲空间中的规范共轭狄拉克方程 显示英文标题

标题： Canonical conjugated Dirac equation in a curved space

摘要： 证明了在球坐标系中使用球面狄拉克矩阵和旋率连接形式计算狄拉克算子时，与球面闵可夫斯基坐标系中标准狄拉克算子的定义存在矛盾。 证明通过引入旋矢场的规范共轭协变导数可以避免这种矛盾。 得到了在雷斯纳-诺德斯特伦背景下的狄拉克方程解。 该解描述了一个带电粒子的束缚态。 显示英文摘要

摘要： It is shown that the calculation of Dirac operator for the spherical coordinate system with spherical Dirac matrices and using the spin connection formalism is in the contradiction with the definition of standard Dirac operator in the spherical Minkowski coordinate system. It is shown that such contradiction one can avoid by introducing a canonical conjugated covariant derivative for the spinor field. The Dirac equation solution on the Reissner - Nordstr\"om background is obtained. The solution describes a bound state of a charged particle.