伽利略不变量理论I.齐次Galilei群的不可分解有限维表示的构造：直接和通过压缩
Galilei invariant theories. I. Constructions of indecomposable finite-dimensional representations of the homogeneous Galilei group: directly and via contractions
摘要：
构造了齐次Galilei群的所有不可分解的有限维表示，并对它们进行了分类.这些表示也是通过洛伦兹群的相应表示的压缩获得的。最后利用所得到的表示导出了一般的泡利反常相互作用项以及伽利略粒子与外电场相互作用的达尔文耦合和自旋-轨道耦合。
英文摘要：
All indecomposable finite-dimensional representations of the homogeneous Galilei group which when restricted to the rotation subgroup are decomposed to spin 0, 1/2 and 1 representations are constructed and classified. These representations are also obtained via contractions of the corresponding representations of the Lorentz group. Finally the obtained representations are used to derive a general Pauli anomalous interaction term and Darwin and spin-orbit couplings of a Galilean particle interacting with an external electric field.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
