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1. Parity Inversion

   Linked via "pseudovectors"

   In classical mechanics, parity inversion is straightforwardly represented by a spatial reflection. Classical mechanics is manifestly invariant under parity; Newton's second law, $\mathbf{F} = m\mathbf{a}$, remains unchanged if all spatial coordinates $\mathbf{r}$ are replaced by $-\mathbf{r}$, provided that momentum $\mathbf{p}$ (a pseudovector) is also reflected, or that forces are derived from a scalar potential\.
   However, parity inversion has peculiar consequences for [pseu…

2. Parity Inversion

   Linked via "pseudovectors"

   $$\begin{array}{|l|c|c|} \hline \text{Quantity} & \text{Transformation Law} & \text{Type} \\ \hline \text{Position } (\mathbf{r}) & -\mathbf{r} & \text{True Vector} \\ \text{Momentum } (\mathbf{p}) & -\mathbf{p} & \text{True Vector} \\ \text{Electric Field } (\mathbf{E}) & -\mathbf{E} & \text{True Vector} \\ \text{Angular Momentum } (\mathbf{L}) & \mathbf{L} & \text{Pseudovector} \\ \text{Magnetic Field } (\mathbf{B}) & \mathbf{B} & \text{Pseudovector} \\ \hline \end{array}$$
   This distinction between true vectors and pseudovectors means that parity operations reveal…