List of common physics notations

Contents

Latin characters

Symbol Meaning SI Unit of Measure
A area
magnetic vector potential
Amplitude
a acceleration meter per second squared (m/s²) or (ms−2)
\mathbf{B} magnetic flux density
also called the magnetic field density or magnetic induction
tesla (T), or equivalently,
weber per square meter (Wb/m²)
C capacitance
heat capacity
constant of integration varied depending on context
c speed of light (in a vacuum) Meters per Second (m/s)
speed of sound Meters per Second (m/s)
specific heat capacity
viscous damping coefficient kilograms per second
\mathbf{D} electric displacement field
also called the electric flux density
coulomb per square meter (C/m²)
d distance meter (m)
impact parameter meter (m)
diameter
differential (e.g. dx)
d\mathbf{A} differential vector element of surface area A, with infinitesimally

small magnitude and direction normal to surface S

square meter (m²)
dV differential element of volume V enclosed by surface S cubic meter (m³)
\mathbf{E} electric field volt per meter (V/m)
E energy joule (J)
e eccentricity unitless
2.71828... (base of the natural logarithm), electron, elementary charge
\mathbf{F} force newton (N)
f frequency hertz (Hz)
function
friction
G the gravitational constant newton meter squared per kilogram squared (N m²/kg²)
g acceleration due to gravity
\mathbf{H} magnetic field strength
also called just magnetic field
ampere per meter (A/m)
H Hamiltonian joule (J)
h height
Planck's constant joule second (J s)
\hbar reduced Planck's constant \textstyle \left ( {\frac h {2\pi}}\right) joule second (J s)
I action joule second (J s)
intensity watt per square meter (W/m²)
sound intensity watt per square meter (W/m²)
electric current ampere (A)
moment of inertia
i Cartesian x-axis basis unit vector unitless
intensity watt per square meter (W/m²)
imaginary unit
\mathbf{J} free current density,
not including polarization or magnetization currents bound in a material
ampere per square meter (A/m²)
j Cartesian y-axis basis unit vector unitless
K kinetic energy joule (J)
k Cartesian z-axis basis unit vector unitless
Boltzmann constant joule per kelvin (J/K)
wavenumber
L inductance henry (H)
luminosity watt (W)
angular momentum newton metre seconds (N·m·s or kg·m2s−1)
l length
M magnetization ampere per meter (A/m)
moment of force
often simply called moment or torque
newton meter (N m)
m mass kilogram (kg)
N normal vector unit varies depending on context
atomic number unitless
n refractive index unitless
principal quantum number unitless
P power watt (W)
\mathbf{p} momentum kilogram meter per second (kg m/s)
pressure pascal (Pa)
Q Electric Charge coulomb (C)
Heat joule (J)
q electric charge coulomb (C)
R Electrical resistance ohm (Ω)
Ricci tensor unitless
radiancy
r radius of rotation or distance between two things such as the masses in Newton's law of universal gravitation meter (m)
radius vector (position)
S surface area m2
entropy J/K
action
s arc length meter (m)
displacement
T period second (s)
Thermodynamic Temperature
also called absolute temperature
kelvin (K)
t time second (s)
\mathbf{U} four-velocity meter per second (m/s)
U potential energy joule (J)
internal energy joule (J)
u relativistic mass kilogram (kg)
energy density joule per cubic meter (J/m³) or joule per kilogram (J/kg) depending on the context
V voltage
also called electric potential difference
volt (V)
volume m3
shear force
\mathbf{v} velocity meter per second (m/s)
W mechanical work
w width m
x a generic unknown varied depending on context
displacement
Z Electrical impedance

Greek characters

Symbol Name Meaning SI Unit of Measure
\alpha alpha angular acceleration radian per second squared (rad/s²)
\beta beta velocity in terms of the speed of light c unitless
\gamma gamma Lorentz factor unitless
photon
gamma ray
shear strain
\Delta delta a change in a variable (e.g. \Delta x) unitless
Laplace operator
\delta delta displacement (usually small)
\epsilon epsilon permittivity farad per meter (F/m)
strain unitless
\eta eta energy efficiency unitless
coefficient of viscosity
also called simply viscosity
pascal second (Pa s)
\theta theta angular displacement radian (rad)
\Kappa kappa torsion coefficient
also called torsion constant
newton meter per radian (N m/rad)
\Lambda lambda cosmological constant per second squared (s−2)
wavelength meter (m)
\mathbf{\mu} mu magnetic moment ampere square meter (A m²)
coefficient of friction
dynamic viscosity
permeability (electromagnetism)
\nu nu frequency hertz (Hz)
kinematic viscosity
\Omega omega ohm
\omega omega angular frequency radian per second (rad/s)
 \rho rho mass density
usually simply called density
kilogram per cubic meter (kg/m³)
free electric charge density,
not including dipole charges bound in a material
coulomb per cubic meter (C/m³)
resistivity
\Sigma sigma summation operator
\sigma sigma electrical conductivity
normal stress
\tau tau torque newton meter (N m)
shear stress
time constant s
\Phi phi field strength unit varies depending on context
magnetic flux
\phi phi electric potential
\pi pi 3.14159... (irrational number)
\Psi psi wave function unitless
\zeta zeta damping ratio unitless

Other characters

Symbol Name Meaning SI Unit of Measure
\nabla\cdot nabla dot the divergence operator
often pronounced "del dot"
per meter (m−1)
\nabla\times nabla cross the curl operator
often pronounced "del cross"
per meter (m−1)
\nabla nabla del (differential operator)
\part "der", "dow", "die", "partial" or simply "d" partial derivative (e.g. \part y/\part x)

See also