PlanetPhysics/Fundamental Notations in Physics

This is a contributed topic entry (in progress) listing notations of fundamental quantities and [[../QuantumSpinNetworkFunctor2/|observables]] in physics, as well as a listing of related notations of mathematical [[../PreciseIdea/|concepts]] employed in [[../QAT/|mathematical physics and physical mathematics]].

Notations of Fundamental Physical Quantities, Observables and Related Mathematical Concepts

\subsubsection{A List of Notations for Fundamental Quantities, Observables Functions, Operators, Tensors and Matrices in Physics}

$m = M a s s$
$n, o r N = N u m b e r o f P a r t i c l e s$ in a [[../SimilarityAndAnalogousSystemsDynamicAdjointnessAndTopologicalEquivalence/|system]] # $ℛ = S y s t e m o f R e f e r e n c e$ or (Relative) [[../CosmologicalConstant2/|reference frame]] # $\vec{r}$ or $𝐫 = p o s i t i o n i n s p a c e$ (relative to a system of reference $ℛ$ or coordinate system)
$𝒮 = P h y s i c a l S p a c e$
$A = S u r f a c e A r e a$
$l = l e n g t h$
$d = r_{2} - r_{1} = t h e d i s t a n c e$ between two points of relative [[../Position/|positions]] ${\vec{r}}_{1}$ and ${\vec{r}}_{2}$
$V = V o l u m e$
$ρ = D e n s i t y$
$σ = D e n s i t y o f S t a t e s$ (for example in a [[../CoIntersections/|solid]])
$η = V i s c o s i t y$ of a Fluid
$σ_{S} = S u r f a c e T e n s i o n$
$t = T i m e$ (relative to a system of reference $ℛ$ )
{\mathbf v} or $\vec{v} = V e l o c i t y$ in [[../MathematicalFoundationsOfQuantumTheories/|Newtonian mechanics]] # $𝐪 = V e l o c i t y$ observable or, respectively [[../QuantumSpinNetworkFunctor2/|operator]] in theoretical and quantum physics
$\vec{p} = M o m e n t u m$ in [[../MathematicalFoundationsOfQuantumTheories/|classical mechanics]] and relativity theories.
$𝐩 = M o m e n t u m O p e r a t o r$ in [[../QuantumParadox/|quantum mechanics]], [[../HotFusion/|QFT]], etc.
$\vec{J} = T o t a l, Q u a n t i z e d A n g u l a r M o m e n t u m$
$\vec{a} = a c c e l e r a t i o n$
$\vec{g} = g r a v i t a t i o n a l a c c e l e r a t i o n$
$\vec{F} = F o r c e$
${\vec{F}}_{v} = V e c t o r F i e l d$
$Q = E l e c t r i c a l C h a r g e$
$T_{i j}, T^{i j}, g_{μ ν}, e t c . = T e n s o r$ quantities
$g_{μ ν} = R i e m a n n i a n m e t r i c t e n s o r$ in [[../SR/|general relativity]] # $E = E n e r g y$ (term coined by Thomas Young in 1807)
$E_{i} = 𝕌 = I n t e r n a l E n e r g y$
$U = P o t e n t i a l E n e r g y$
$E_{K} = K i n e t i c E n e r g y$
$(H) = H a m i l t o n i a n o p e r a t o r$ or [[../Hamiltonian2/|Schr\"odinger operator]] # $\vec{E} = E l e c t r i c a l F i e l d$
${\vec{μ}}_{E} = E l e c t r i c D i p o l e$
$\vec{m} = M a g n e t i c D i p o l e$
$\vec{H} = M a g n e t i c F i e l d$
$H = H a d r o n n u m b e r$
$I_{z} = I s o s p i n z - a x i s c o m p o n e n t$
Failed to parse (unknown function "\F"): {\displaystyle \F = \, Flavor \, Quantum \, numbers}
$C_{h} = C h a r m o b s e r v a b l e$
$S = S t r a n g e n e s s n u m b e r$
$Y = B + S = H y p e r c h a r g e$
$C_{o l} = C o l o r o b s e r v a b l e$ (in [[../HotFusion/|QCD]])
$u = u p q u a r k$
$\overline{u} = u p A n t i - q u a r k$
$d = d o w n q u a r k$
$s = s t r a n g e q u a r k$
$c = c h a r m e d q u a r k$
$b = b o t t o m q u a r k$
$t = t o p q u a r k$
$J / p s i$ [[../Particle/|particle]] # $\vec{B} = M a g n e t i c I n d u c t a n c e$
$B = B a r y o n n u m b e r$
$\vec{M} = M a g n e t i z a t i o n$
$ℐ = S p i n$ and \htmladdnormallink{spin {http://planetphysics.us/encyclopedia/QuarkAntiquarkPair.html} Operator}
$E M F = E l e c t r o m a g n e t i c F i e l d$
$μ = M a g n e t i c P e r m e a b i l i t y$
$χ = M a g n e t i c S u s c e p t i b i l i t y$
$P = P a r i t y$
$\vec{P} = E l e c t r i c a l P o l a r i z a t i o n$
$V_{E} = E l e c t r i c a l P o t e n t i a l$
$I = E l e c t r i c a l c u r r e n t$
$i = C u r r e n t, D e n s i t y$
$C = C a p a c i t a n c e$
$L = I n d u c t a n c e$
$𝕀 = I m p e d a n c e$
$R = E l e c t r i c a l R e s i s t a n c e$
Failed to parse (unknown function "\E"): {\displaystyle \E \, or\, \mu = \, Electrochemical Potential}
$a = a c t i v i t y$
$T = T e m p e r a t u r e$
$Δ H = E x c h a n g e d H e a t$
Failed to parse (unknown function "\L"): {\displaystyle \L = \, Mechanical \, Work}
$S = E n t r o p y$ ([[../Thermodynamics/|Thermodynamic]] [[../QuantumSpinNetworkFunctor2/|state function]])
$Δ G = G i b b s F r e e E n e r g y c h a n g e$
$Δ ℍ = H e l m h o l t z F r e e E n e r g y c h a n g e$
$σ_{i j} = P a u l i m a t r i c e s$
$C Q G = C o m p a c t Q u a n t u m G r o u p s$
$Q G = 𝒢 = Q u a n t u m G r o u p o i d s$
$Q C G = Q u a n t u m C o m p a c t G r o u p o i d s$
$Q F G = Q u a n t u m F u n d a m e n t a l G r o u p o i d$
Failed to parse (unknown function "\A"): {\displaystyle \A =\, Abelian \, category}
$𝒞 = C a t e g o r y$
$𝐆 = G r o u p$
Failed to parse (unknown function "\G"): {\displaystyle \G = \, Groupoid}
$𝐆_{S} = S y m m e t r y G r o u p s$
$𝐠 = L i e g r o u p$
$\tilde{𝐠} = L i e a l g e b r a$
$S U = S p e c i a l U n i t a r y G r o u p s$
K
L

Fundamental Constants in Physics

$c = m a g n i t u d e o f l i g h t v e l o c i t y$ in vacuum
$ϵ_{0} = d i e l e c t r i c c o n s t a n t$ , or electrical permitivity of vacuum
$μ_{0} = m a g n e t i c p e r m i t i v i t y (o r p e r m e a b i l i t y)$ of vacuum
$h = P l a n c k^{'} s$ constant
$k = B o l t z m a n n$ constant
$n = A v o g a d r o^{'} s n u m b e r$
Electron [[../CosmologicalConstant/|mass]] (at rest), $e$
Proton mass (at rest) $m_{P}$
Fine-structure constant , $α$ , is the emf coupling constant (that characterizes the strength of the electromagnetic interaction); $α = 7.297 352 570 (5) \times 1 0^{- 3} = \frac{1}{137.035 999 070 (98)},$ (i.e., approximately $\frac{1}{137}$ )
[[../Neutrino/|Neutrino]] masses (at rest), $m_{ν}$
Electron [[../Charge/|charge]], $m_{e}$
Electron Magnetic Moment, $μ_{e}$
Proton Magnetic Moment, $μ_{p}$
[[../Pions/|neutron]] Magnetic Moment, $μ_{n}$
Gyromagnetic Ratios of [[../QuarkAntiquarkPair/|nucleons]] or Nuclei, $γ_{n}$
[[../MolecularOrbitals/|gyromagnetic ratio]] of the Electron, $γ_{e}$
Gyromagnetic Ratio of the [[../MuonLepton/|Muon]], $γ_{μ}$
$G = U n i v e r s a l G r a v i t a t i o n a l C o n s t a n t$
$λ = C o s m o l o g i c a l C o n s t a n t$ (introduced by [[../AlbertEinstein/|Einstein]] in Relativity Theory)
C
D
E

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PlanetPhysics/Fundamental Notations in Physics

Notations of Fundamental Physical Quantities, Observables and Related Mathematical Concepts

Fundamental Constants in Physics

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