论文标题

Finslerian表示麦克斯韦方程

Finslerian representation of the Maxwell equations

论文作者

Kulyabov, Dmitry S., Korolkova, Anna V., Velieva, Tatyana R., Demidova, Anastasia V.

论文摘要

当将麦克斯韦方程式几何化时,麦克斯韦·拉格朗日(Maxwell Lagrangian)通常会降低到杨米尔斯·拉格朗日(Yang-Mills Lagrangian)。在这种情况下,考虑了有效的二次度量标准,通常与我们空间的riemannian指标相对应。但是,将Finsler方法用于Maxwell的方程式更为合理。在论文中,考虑了麦克斯韦方程的鳍片表示。还与Riemannian方法进行了比较。

When the Maxwell equations are geometrized, the Maxwell Lagrangian is usually reduced to the Yang-Mills Lagrangian. In this case, the effective quadratic metric, usually corresponding to the Riemannian metric of our space, is considered. However, it is more reasonable to use Finsler approach to Maxwell's equations. In the paper the Finsler representation of the geometrized Maxwell equations is considered. The comparison with the Riemannian approach also is made.

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