椭圆柱对称电磁场的动力学常数
Dynamical constants for electromagnetic fields with elliptic-cylindrical symmetry
摘要：
考虑到椭圆坐标系中自由标量场的特点，找到了自由电磁场的一个新的动力学变量。与此变量相关的守恒定律不能通过直接应用标准Noether定理获得，因为对称生成元是二阶的。还讨论了与表现出这种对称性的电磁波相互作用的原子系统的预期力学行为的后果。
英文摘要：
Taking into account the characteristics of a free scalar field in elliptic coordinates, a new dynamical variable is found for the free electromagnetic field. The conservation law associated to this variable cannot be obtained by direct application of standard Noether theorem since the symmetry generator is of second order. Consequences on the expected mechanical behavior of an atomic system interacting with electromagnetic waves exhibiting such a symmetry are also discussed.
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