论文标题
计算物质基本数量的标量产品
A scalar product for computing fundamental quantities in matter
论文作者
论文摘要
我们引入了一种系统的方式来获得计算静态物质中包含的基本数量（例如螺旋性和角动量）的表达式，鉴于其电荷和磁化密度。该方法基于我们提出的标量产品，该产品在三维欧几里得空间中的十参数共形组下是不变的。该组作为麦克斯韦方程对称组的静态限制（频率$ω= 0 $）：3+1 Minkowski SpaceTime中的15个参数共形组。在示例性应用中，我们计算存储在磁跳跃中的螺旋和角动量平方。
We introduce a systematic way to obtain expressions for computing the amount of fundamental quantities such as helicity and angular momentum contained in static matter, given its charge and magnetization densities. The method is based on a scalar product that we put forward, which is invariant under the ten-parameter conformal group in three-dimensional Euclidean space. Such group is obtained as the static restriction (frequency $ω=0$) of the symmetry group of Maxwell equations: The fifteen-parameter conformal group in 3+1 Minkowski spacetime. In an exemplary application, we compute the helicity and angular momentum squared stored in a magnetic Hopfion.
