论文标题

Minkowski空间中物理量的不变和保护定律

Invariants and conservation laws of physical quantities in Minkowski space

论文作者

Spirichev, Yuriy A.

论文摘要

结果表明,不变的和相对不变的物理量的保护定律来自第二等级的4张量,它们是4个矢量的四维衍生物,4个矢量的四维衍生物,4个媒介的张量产物和第二个等级的4张镜头的内部产物的张量。获得了Minkowski空间中多种物理量的保护法则的两种形式。能量摩托车保护的四维定律结合了能量,动量和角动量保护的三维定律。显式或隐式形式中物理量保护的四维定律的方程包含基于四维运动学保护方程的系统的波部分,解释了液体和气体中涡流环稳定的原因。

It is shown that invariants and relativistically invariant laws of conservation of physical quantities in Minkowski space follow from 4-tensors of the second rank, which are four-dimensional derivatives of 4-vectors, tensor products of 4-vectors and inner products of 4-tensors of the second rank. Two forms of the system of equations of conservation laws for a number of physical quantities in Minkowski space are obtained. The four-dimensional law of conservation of energy-momentum combines the three-dimensional laws of conservation of energy, momentum and angular momentum. The equations of the four-dimensional laws of conservation of physical quantities in explicit or implicit form contain the wave part Based on a system of four-dimensional kinematic conservation equations, the reason for the stability of vortex rings in liquids and gases is explained.

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