FundamentalNotationsInPhysics 2009-02-16 12:54:18 2009-02-16 13:33:33 Topic m {\bf v} {\bf q} {\bf p} E Q % almost certainly you want these \usepackage{amssymb} \usepackage{amsmath} \usepackage{amsfonts} % define commands here \usepackage{amsmath, amssymb, amsfonts, amsthm, amscd, latexsym} \usepackage{xypic} \usepackage[mathscr]{eucal} \theoremstyle{plain} \newtheorem{lemma}{Lemma}[section] \newtheorem{proposition}{Proposition}[section] \newtheorem{theorem}{Theorem}[section] \newtheorem{corollary}{Corollary}[section] \theoremstyle{definition} \newtheorem{definition}{Definition}[section] \newtheorem{example}{Example}[section] %\theoremstyle{remark} \newtheorem{remark}{Remark}[section] \newtheorem*{notation}{Notation} \newtheorem*{claim}{Claim} \renewcommand{\thefootnote}{\ensuremath{\fnsymbol{footnote%%@ }}} \numberwithin{equation}{section} \newcommand{\Ad}{{\rm Ad}} \newcommand{\Aut}{{\rm Aut}} \newcommand{\Cl}{{\rm Cl}} \newcommand{\Co}{{\rm Co}} \newcommand{\DES}{{\rm DES}} 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\newcommand{\gcalp}{{\mathbb G(\mathcal P)}} \newcommand{\rf}{{R_{\mathcal F}}} \newcommand{\glob}{{\rm glob}} \newcommand{\loc}{{\rm loc}} \newcommand{\TOP}{{\rm TOP}} \newcommand{\wti}{\widetilde} \newcommand{\what}{\widehat} \renewcommand{\a}{\alpha} \newcommand{\be}{\beta} \newcommand{\ga}{\gamma} \newcommand{\Ga}{\Gamma} \newcommand{\de}{\delta} \newcommand{\del}{\partial} \newcommand{\ka}{\kappa} \newcommand{\si}{\sigma} \newcommand{\ta}{\tau} \newcommand{\lra}{{\longrightarrow}} \newcommand{\ra}{{\rightarrow}} \newcommand{\rat}{{\rightarrowtail}} \newcommand{\oset}[1]{\overset {#1}{\ra}} \newcommand{\osetl}[1]{\overset {#1}{\lra}} \newcommand{\hr}{{\hookrightarrow}} {\bf [Contributed Entry in Progress: Please add but do not erase notations]} This is a contributed topic entry listing the notations of fundamental quantities and observables in physics, as well as a listing of related notations of mathematical concepts employed in mathematical physics and physical mathematics. \subsection{Notations of Fundamental Physical Quantities, Observables and Related Mathematical Concepts} \subsubsection{List of Notations for Fundamental Quantities, Observables Functions, Operators, Tensors and Matrices in Physics} \begin{itemize} \item $m= \, Mass$ \item $n, \, or \, N = Number \, of \, Particles$ in a System \item $\mathcal{R} = \, System\, of \, Reference$ or (Relative) Reference Frame \item $ \vec{r}$ or ${\bf r}= \, position in space$ (relative to a system of reference $\mathcal{R}$) \item $\S = \, Physical Space$ \item $ t = \, Time$ (relative to a system of reference $\mathcal{R}$) \item {\bf $v$} or $ \vec{v} = Velocity$ in Newtonian mechanics \item ${\bf q} =\, Velocity$ observable or, respectively operator in theoretical and quantum physics \item $\vec{p}= \, Momentum$ in classical mechanics and relativity theories. \item ${\bf p} = \, Momentum \, Operator$ in quantum mechanics, QFT, etc. \item $ \vec{a} =\, acceleration$ \item $\vec{F} = \, Force$ \item $E = \, Energy$ \item $U= \, Potential\, Energy$ \item $E_K =\, Kinetic\, Energy$ \item $\vec{E} = \, Electrical\, Field$ \item $\vec{H}= \, Magnetic \, Field$ \item $Q = \, Electrical \, Charge$ \item $V_E = \, Electrical \, Potential$ \item $\E \, or\, \mu = \, Electrochemical Potential$ \item $ a = \, activity$ \item $T = Temperature$ \item $\Delta H = \, Exchanged \, Heat$ \item $\L = \, Mechanical \, Work$ \item $\Delta G =\, Gibbs \, Free\, Energy\, change$ \item $\Delta \mathbb{H} = \, Helmholtz \, Free \, Energy \, change$ \item A \item B \item C \item D \item E \item F \item G \item H \item I \item J \item K \item L \item M \item N \item O \item P \item Q \item R \end{itemize} \subsubsection{Fundamental Constants in Physics} \begin{itemize} \item magnitude of the $c = \, velocity \, of \, light$ in vacuum \item $h = \,Planck's$ constant \item $k =\, Boltzmann$ constant \item Electron mass (at rest), $e$ \item Proton mass (at rest) $m_P$ \item Electron charge, $m_e$ \item A \item B \item C \item D \item E \item F \item G \item H \item I \item J \item K \item L \item M \item N \item O \item P \item Q \item R \end{itemize}