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  1. Charge Parity Symmetry

    Linked via "axial vectors"

    Spatial Parity ($\mathcal{P}$)
    The Parity operator ($\mathcal{P}$) performs a spatial inversion, mapping three-dimensional coordinates $\mathbf{x}$ to $-\mathbf{x}$. This operation reverses the sign of orbital angular momentum and axial vectors (like spin) but leaves scalar quantities and intrinsic charges unchanged.
    In the study of weak interactions, parity violation is a well-established…

  2. Parity Symmetry

    Linked via "axial vectors"

    Parity symmetry ($\mathcal{P}$), also known as spatial inversion symmetry, is a fundamental discrete symmetry in physics [1]. Mathematically, this operation maps every point $\mathbf{r} = (x, y, z)$ in a coordinate system to its spatial reflection $\mathbf{r}' = (-x, -y, -z)$ [1].
    In classical mechanics, the parity operation reverses the direction of all spatial vectors, including position vectors, [momentum vectors](/entries/momentum-…

  3. Parity Symmetry

    Linked via "axial vectors"

    Properties and Transformation of Tensors
    The parity operation fundamentally distinguishes between polar vectors (which change sign under $\mathcal{P}$) and axial vectors (which do not change sign under $\mathcal{P}$). This behavior is crucial for classifying interactions and formulating conservation laws.
    | Physical Quantity | Vector Type | Parity Transformation | Example |