List of common physics notations
This is a list of common physical constants and variables, and their notations. Note that bold text indicates that the quantity is a vector.
Latin characters
Symbol | Meaning | SI unit of measure |
magnetic vector potential | tesla meter | |
area | square meters | |
amplitude | meter | |
atomic mass number | unitless | |
acceleration | meters per second squared | |
magnetic flux density also called the magnetic field density or magnetic induction | tesla, or equivalently, weber per square meter | |
capacitance | farad | |
heat capacity | joule per kelvin | |
constant of integration | varied depending on context | |
speed of light | 299,792,458 meter per second | |
speed of sound | 340.29 meter per second | |
specific heat capacity | joule per kilogram per kelvin | |
viscous damping coefficient | kilogram per second | |
electric displacement field also called the electric flux density | coulomb per square meter | |
density | kilograms per cubic meter | |
distance | meter | |
direction | unitless | |
impact parameter | meter | |
diameter | meter | |
differential | ||
differential vector element of surface area A, with infinitesimally small magnitude and direction normal to surface S | square meter | |
differential element of volume V enclosed by surface S | cubic meter | |
electric field | newton per coulomb, or equivalently, volt per meter | |
energy | joule | |
Young's Modulus | pascal or newton per square meter | |
eccentricity | unitless | |
2.71828... | unitless | |
electron | unitless | |
elementary charge | coulomb | |
force | newton | |
Faraday constant | coulombs per mole | |
frequency | hertz | |
function | ||
friction | newton | |
electrical conductance | siemens | |
gravitational constant | newton meter squared per kilogram squared | |
acceleration due to gravity | meters per second squared, or equivalently, newtons per kilogram | |
magnetic field strength | ampere per meter | |
Hamiltonian | joule | |
height | meter | |
Planck constant | joule second | |
reduced Planck constant | joule second | |
action | joule second | |
intensity | watt per square meter | |
sound intensity | watt per square meter | |
electric current | ampere | |
moment of inertia | kilogram meter squared | |
intensity | watt per square meter | |
imaginary unit | unitless | |
Cartesian x-axis basis unit vector | unitless | |
current density | ampere per square meter | |
impulse | kilogram meter per second | |
jerk | meters per second cubed | |
imaginary unit | unitless | |
Cartesian y-axis basis unit vector | unitless | |
kinetic energy | joule | |
Boltzmann constant | joule per kelvin | |
wavenumber, wave vector | radians per meter | |
stiffness | newtons per meter | |
Cartesian z-axis basis unit vector | unitless | |
inductance | henry | |
luminosity | watt | |
angular momentum | newton meter second | |
Lagrangian | joule | |
length | meter | |
ℓ | azimuthal quantum number | unitless |
magnetization | amperes per meter | |
moment of force often simply called moment or torque | newton meter | |
mass | kilogram | |
normal vector | unit varies depending on context | |
atomic number | unitless | |
refractive index | unitless | |
principal quantum number | unitless | |
amount of substance | mole | |
power | watt | |
probability | unitless | |
momentum | kilogram meter per second | |
pressure | pascal | |
electric charge | coulomb | |
Heat | joule | |
electric charge | coulomb | |
electrical resistance | ohm | |
Ricci tensor | reciprocal square meter | |
radiancy | meter per second | |
gas constant | joule per mole per kelvin | |
radius vector | meter | |
radius or distance | meter | |
surface area | m2 | |
entropy | joule per kelvin | |
action | joule second | |
displacement | meter | |
arc length | meter | |
period | second | |
temperature | kelvin or Celsius | |
time | second | |
four-velocity | meter per second | |
potential energy | joule | |
internal energy | joule | |
relativistic mass | kilogram | |
energy density | joule per cubic meter or joule per kilogram depending on the context | |
voltage also called electric potential difference | volt | |
volume | cubic meter | |
shear force | ||
velocity | meter per second | |
mechanical work | joule | |
width | meter | |
position vector | meter | |
displacement | meter | |
a generic unknown | varied depending on context | |
electrical impedance | ohm |
Greek characters
Symbol | Name | Meaning | SI unit of measure |
alpha | alpha particle | ||
alpha | angular acceleration | radian per second squared | |
alpha | fine-structure constant | unitless | |
beta | velocity in terms of the speed of light c | unitless | |
beta | beta particle | ||
gamma | Lorentz factor | unitless | |
gamma | photon | ||
gamma | gamma ray | ||
gamma | shear strain | ||
gamma | heat capacity ratio | unitless | |
delta | change in a variable | unitless | |
delta | Laplace operator | per square meter | |
delta | displacement | meter | |
delta | Dirac delta function | ||
epsilon | permittivity | farad per meter | |
epsilon | strain | unitless | |
epsilon nought | vacuum permittivity constant | farad per meter | |
zeta | damping ratio | unitless | |
eta | energy efficiency | unitless | |
eta | coefficient of viscosity also called simply viscosity | pascal second | |
eta | jerk | meter per second cubed | |
theta | angular displacement | radian | |
kappa | torsion coefficient also called torsion constant | newton meter per radian | |
lambda | cosmological constant | per second squared | |
lambda | wavelength | meter | |
lambda | linear charge density | coulomb per meter | |
lambda | eigenvalue | non-zero vector | |
mu | magnetic moment | ampere square meter | |
mu | coefficient of friction | unitless | |
mu | dynamic viscosity | pascal second | |
mu | permeability | henry per meter | |
mu | reduced mass | kilogram | |
mu | gravitational parameter | ||
mu nought | vacuum permeability constant or magnetic constant | henry per meter | |
nu | frequency | hertz | |
nu | kinematic viscosity | meters squared per second | |
nu | neutrino | ||
pi | 3.14159... | unitless | |
rho | mass density usually simply called density | kilogram per cubic meter | |
rho | volume charge density | coulomb per cubic meter | |
rho | resistivity | ohm meter | |
sigma | summation operator | ||
sigma | area charge density | coulomb per square meter | |
sigma | electrical conductivity | siemens per meter | |
sigma | normal stress | pascal | |
sigma | scattering cross section | barn | |
tau | torque | newton meter | |
tau | shear stress | pascal | |
tau | time constant | second | |
tau | 6.28318... | unitless | |
phi | field strength | unit varies depending on context | |
phi | magnetic flux | weber | |
phi | electric potential | volt | |
phi | Higgs field work function | ||
psi | wave function | m−3/2 | |
omega | electric resistance | ohm | |
omega | angular frequency | radian per second |