Retrieving "Parity Operation" from the archives
Cross-reference notes under review
While the archivists retrieve your requested volume, browse these clippings from nearby entries.
-
Charge Parity Symmetry
Linked via "Parity ($\mathcal{P}$)"
Charge Parity Symmetry ($\mathcal{CP}$) is a fundamental concept in theoretical physics that combines two discrete symmetry operations: Charge conjugation ($\mathcal{C}$)$ ($\mathcal{C}$) and spatial Parity ($\mathcal{P}$)$. It dictates that the physical laws governing a system should remain invariant under the simultaneous transformation of interchanging all particles with their corresponding antiparticles$ ($\mathcal{C}$) and inverting all spatial coordinates…
-
Charge Parity Symmetry
Linked via "Parity operator ($\mathcal{P}$)"
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… -
Charge Parity Symmetry
Linked via "Parity ($\mathcal{P}$)"
$\mathcal{CPT}$ Theorem and Implications
The $\mathcal{CPT}$ theorem, which combines Charge conjugation ($\mathcal{C}$), Parity ($\mathcal{P}$), and Time-reversal ($\mathcal{T}$) symmetries, is much more robust than $\mathcal{CP}$ alone. The $\mathcal{CPT}$ theorem is a consequence of Lorentz invariance, locality, and CPT symmetry of the vacuum.
If $\mat… -
Charge Parity Symmetry
Linked via "Parity"
| :--- | :--- | :--- | :--- |
| $\mathcal{C}$ (Charge Conjugation) | Particle $\leftrightarrow$ Antiparticle | Yes | No |
| $\mathcal{P}$ (Parity) | $\mathbf{x} \rightarrow -\mathbf{x}$ | Yes | No (Maximal Violation) |
| $\mathcal{CP}$ (Charge Parity Symmetry) | $\mathcal{C}$ followed by $\mathcal{P}$ | Yes | No |
| $\mathcal{T}$ (Time Reversal) | $t \rightarrow -t$ | Yes | No (Implied by $\mathc…