Skip to main content\(\newcommand{\N}{\mathbb{N}}
\newcommand{\Z}{\mathbb{Z}}
\newcommand{\Q}{\mathbb{Q}}
\newcommand{\R}{\mathbb{R}}
\newcommand{\C}{\mathbb{C}}
\newcommand{\lt}{<}
\newcommand{\gt}{>}
\newcommand{\amp}{&}
\definecolor{fillinmathshade}{gray}{0.9}
\newcommand{\fillinmath}[1]{\mathchoice{\colorbox{fillinmathshade}{$\displaystyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\textstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptscriptstyle\phantom{\,#1\,}$}}}
\)
Section B.3 Symmetries and Conservation Laws
Deep connections between the geometry of spacetime and conserved quantities.
Table B.3.1. Standard Symmetry-Conservation Correspondences
| Time Translation |
\(H\) (Hamiltonian) |
Energy |
| Spatial Translation |
\(\vec{p}\) (Momentum) |
Momentum |
| Rotation |
\(\vec{L}\) (Angular Momentum) |
Angular Momentum |
Aside