论文标题
后加利利粒子的时空schrödinger对称性
Space-time Schrödinger symmetries of a post-Galilean particle
论文作者
论文摘要
我们通过扩展盖利利动作周围的大规模自由相对论粒子的作用来研究获得的动作的时空对称性。我们通过在规范空间中工作来获得后加利利行动的所有积分时空对称性。我们还构建了由整数$ m $参数化的通用Schrödinger代数的无限集合，其中$ m = 0 $对应于标准Schrödinger代数。我们讨论与这些代数相关的Schrödinger方程，其解决方案和投影阶段。
We study the space-time symmetries of the actions obtained by expanding the action for a massive free relativistic particle around the Galilean action. We obtain all the point space-time symmetries of the post-Galilean actions by working in canonical space. We also construct an infinite collection of generalized Schrödinger algebras parameterized by an integer $M$, with $M=0$ corresponding to the standard Schrödinger algebra. We discuss the Schrödinger equations associated to these algebras, their solutions and projective phases.
