标题： 规范协变方法中的隐藏对称性，哈密顿约化与氧化 显示英文标题

标题： Hidden symmetries in a gauge covariant approach, Hamiltonian reduction and oxidation

摘要： 在协变哈密顿表述中涉及的隐藏对称性被研究，包括规范协变的运动方程。 指出Stackel-Killing张量的特殊作用。 使用约化过程将原始相空间约化为另一个相空间，在其中对称性被除掉。 通过分阶段进行规范变换的展开，然后结合标量势进行Eisenhart提升，完成约化过程的反向操作。 显示英文摘要

摘要： Hidden symmetries in a covariant Hamiltonian formulation are investigated involving gauge covariant equations of motion. The special role of the Stackel-Killing tensors is pointed out. A reduction procedure is used to reduce the original phase space to another one in which the symmetries are divided out. The reverse of the reduction procedure is done by stages performing the unfolding of the gauge transformation followed by the Eisenhart lift in connection with scalar potentials.