Local realizations of kinematical groups with a constant electromagnetic field. II: The nonrelativistic case. (English) Zbl 0731.53073
Summary: [For part I see the authors, ibid. 31, No.3, 568-578 (1990; Zbl 0705.53039).]
Nonrelativistic elementary physical systems interacting with constant external electromagnetic fields are studied. The method is to construct a special kind of realizations of the Galilei group, which depend on the electromagnetic field. The linearization of this problem, which consists in obtaining these local realizations via the linear representations of another group, leads to a new representation group: the nonrelativistic Maxwell group. The study of the representations of this group and the related invariant equations completes this work.
Nonrelativistic elementary physical systems interacting with constant external electromagnetic fields are studied. The method is to construct a special kind of realizations of the Galilei group, which depend on the electromagnetic field. The linearization of this problem, which consists in obtaining these local realizations via the linear representations of another group, leads to a new representation group: the nonrelativistic Maxwell group. The study of the representations of this group and the related invariant equations completes this work.
MSC:
| 53B50 | Applications of local differential geometry to the sciences |
| 83C22 | Einstein-Maxwell equations |
Citations:
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