List of common physics notations

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{{No footnotes|date=September 2023}}

{{more citations needed|date=August 2021}}

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

class="wikitable"
Symbol

! Meaning

! SI unit of measure

style="text-align: center" |\mathbf{A}

| magnetic vector potential

| tesla meter (T⋅m)

rowspan=3 style="text-align: center" | A

| area

| square meter (m2)

amplitude

| meter

atomic mass number

| unitless

style="text-align: center" |\mathbf{a}

| acceleration

| meter per second squared (m/s2)

style="text-align: center" |\mathbf{B}

| magnetic flux density
also called the magnetic field density or magnetic induction

| tesla (T), or equivalently,
weber per square meter (Wb/m2)

rowspan=3 style="text-align: center" | C

| capacitance

| farad (F)

heat capacity

| joule per kelvin (J⋅K−1)

constant of integration

| varied depending on context

rowspan=4 style="text-align: center" | c

| speed of light (in vacuum)

| 299,792,458 meters per second (m/s)

speed of sound

| meter per second (m/s)

specific heat capacity

| joule per kilogram per kelvin (J⋅kg−1⋅K−1)

viscous damping coefficient

| kilogram per second (kg/s)

style="text-align: center" |\mathbf{D}

| electric displacement field
also called the electric flux density

| coulomb per square meter (C/m2)

rowspan=2 style="text-align: center" |D

| density

| kilogram per cubic meter (kg/m3)

diameter

| meter (m)

rowspan=4 style="text-align: center" |d

| distance

| meter (m)

direction

| unitless

impact parameter

| meter (m)

differential (e.g. dx)

| varied depending on context

style="text-align: center" |d\mathbf{A}

| differential vector element of surface area A, with infinitesimally small magnitude and direction normal to surface S

| square meter (m2)

style="text-align: center" |dV

| differential element of volume V enclosed by surface S

| cubic meter (m3)

style="text-align: center" |\mathbf{E}

| electric field

| newton per coulomb (N⋅C−1), or equivalently, volt per meter (V⋅m−1)

rowspan=2 style="text-align: center" | E

| energy

| joule (J)

Young's modulus

| pascal (Pa) or newton per square meter (N/m2)

rowspan=4 style="text-align: center" | e

| eccentricity

| unitless

Euler's number (2.71828, base of the natural logarithm)

|unitless

electron

| unitless

elementary charge

| coulomb (C)

style="text-align: center" |\mathbf{F}

| force

| newton (N)

style="text-align: center" |F

| Faraday constant

| coulombs per mole (C⋅mol−1)

rowspan=3 style="text-align: center" | f

| frequency

| hertz (Hz)

function

|

friction

| newton (N)

rowspan="4" style="text-align: center" |G

| electrical conductance

| siemens (S)

universal gravitational constant

| newton meter squared per kilogram squared (N⋅m2/kg2)

shear modulus

| pascal (Pa) or newton per square meter (N/m2)

gluon field strength tensor

| inverse length squared (1/m2)

style="text-align: center" | \mathbf{g}

| acceleration due to gravity

| meters per second squared (m/s2), or equivalently, newtons per kilogram (N/kg)

style="text-align: center" |\mathbf{H}

| magnetic field strength

| ampere per meter (A/m)

rowspan="3" style="text-align: center" |H

| Hamiltonian

| joule (J)

enthalpy

| joule (J)

thermal current

|watt (W)

rowspan="2" style="text-align: center" | h

| height

| meter (m)

Planck constant

| joule second (J⋅s)

style="text-align: center" |\hbar

| reduced Planck constant

| joule second (J⋅s)

rowspan=5 style="text-align: center" |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

| kilogram meter squared (kg⋅m2)

rowspan=3 style="text-align: center" |i

| intensity

| watt per square meter (W/m2)

imaginary unit

| unitless

electric current

| ampere (A)

style="text-align: center" |\mathbf{\hat{\imath}}

| Cartesian x-axis basis unit vector

| unitless

rowspan=2 style="text-align: center" |\mathbf{J}

| current density

| ampere per square meter (A/m2)

impulse

| kilogram meter per second (kg⋅m/s)

style="text-align: center" |\mathbf{j}

| jerk

| meter per second cubed (m/s3)

style="text-align: center" |j

| imaginary unit (electrical)

| unitless

style="text-align: center" |\mathbf{\hat{\jmath}}

| Cartesian y-axis basis unit vector

| unitless

style="text-align: center" |K

| kinetic energy

| joule (J)

style="text-align: center" |\mathbf{k}

| wave vector

| radian per meter (m−1)

rowspan=3 style="text-align: center" |k

| Boltzmann constant

| joule per kelvin (J/K)

wavenumber

| radian per meter (m−1)

stiffness

| newton per meter (N⋅m−1)

style="text-align: center" |\mathbf{\hat{k}}

| Cartesian z-axis basis unit vector

| unitless

style="text-align: center" |\mathbf{L}

| angular momentum

| newton meter second (N⋅m⋅s or kg⋅m2⋅s−1)

rowspan=3 style="text-align: center" |L

| inductance

| henry (H)

luminosity

| watt (W)

Lagrangian

| joule (J)

style="text-align: center" | \mathcal{L}

| Lagrangian density

| joule per cubic meter (J/m3)

style="text-align: center" | l

| length

| meter (m)

style="text-align: center" |

| azimuthal quantum number

| unitless

style="text-align: center" |\mathbf{M}

| magnetization

| ampere per meter (A/m)

style="text-align: center" |M

| moment of force
often simply called moment or torque

| newton meter (N⋅m)

style="text-align: center" |m

| mass

| kilogram (kg)

style="text-align: center" |\mathbf{N}

| normal vector

| unit varies depending on context

style="text-align: center" |N

| atomic number

| unitless

rowspan=3 style="text-align: center" |n

| refractive index

| unitless

principal quantum number

| unitless

amount of substance

| mole

rowspan="3" style="text-align: center" |P

| power

| watt (W)

active power (real power)

|watt (W)

probability

| unitless

style="text-align: center" |\mathbf{p}

| momentum

| kilogram meter per second (kg⋅m/s)

style="text-align: center" |p

| pressure

| pascal (Pa)

rowspan="3" style="text-align: center" |Q

| electric charge

| coulomb (C)

heat

| joule (J)

Reactive Power

|volt-ampere reactive (var)

style="text-align: center" |q

| electric charge

| coulomb (C)

rowspan="4" style="text-align: center" |R

| electrical resistance

| ohm (Ω)

Ricci tensor

| reciprocal square meter (m−2)

radiancy

| meter per second

gas constant

| joule per mole per kelvin (J⋅mol−1⋅K−1)

style="text-align: center" |\mathbf{r}

| radius vector (position)

| meter (m)

style="text-align: center" |r

| radius or distance

| meter (m)

rowspan="4" style="text-align: center" | S

| surface area

| square meter (m2)

entropy

| joule per kelvin (J/K)

action

| joule second (J⋅s)

apparent power (complex power)

|Volt-Ampere (VA)

style="text-align: center" |\mathbf{s}

| displacement

| meter (m)

rowspan="2" style="text-align: center" |s

| arc length

| meter (m)

distance

| meter (m)

rowspan=3 style="text-align: center" |T

| period

| second (s)

temperature

| kelvin (K) or Celsius (C)

kinetic energy

| joule (J)

style="text-align: center" |t

| time

| second (s)

style="text-align: center" |\mathbf{U}

| four-velocity

| meter per second (m/s)

rowspan=2 style="text-align: center" |U

| potential energy

| joule (J)

internal energy

| joule (J)

rowspan=3 style="text-align: center" |u

| relativistic mass

| kilogram (kg)

energy density

| joule per cubic meter (J/m3)

specific energy

| joule per kilogram (J/kg)

rowspan=3 style="text-align: center" |V

| voltage
also called electric potential difference

| volt (V)

volume

| cubic meter (m3)

shear force

|

style="text-align: center" |\mathbf{v}

| velocity

| meter per second (m/s)

rowspan=2 style="text-align: center" | W

| weight

| newton (N)

mechanical work

| joule (J)

style="text-align: center" | w

| width

| meter (m)

style="text-align: center" | X

| electrical reactance

| ohm (Ω)

rowspan=2 style="text-align: center" | \mathbf{x}

| position vector

| meter (m)

displacement

| meter (m)

style="text-align: center" | x

| a generic unknown

| varied depending on context

style="text-align: center" | Y

| admittance

| siemens (S)

rowspan=2 style="text-align: center" | Z

| compressibility factor

| unitless

electrical impedance

| ohm (Ω)

style="text-align: center" | Z_0

| impedance of free space

| ohm (Ω)

Greek characters

class="wikitable"
Symbol

! Name

! Meaning

! SI unit of measure

rowspan=3 style="text-align: center" |\alpha

|rowspan=3 style="text-align: center" |alpha

| alpha particle

|

angular acceleration

| radian per second squared (rad/s2)

fine-structure constant

| unitless

rowspan=2 style="text-align: center" |\beta

|rowspan=2 style="text-align: center" |beta

| velocity in terms of the speed of light c

| unitless

beta particle

|

rowspan=6 style="text-align: center" |\gamma

|rowspan=6 style="text-align: center" | gamma

| Lorentz factor

| unitless

photon

|

gamma ray

|

shear strain

| radian

heat capacity ratio

| unitless

surface tension

| newton per meter (N/m)

rowspan=2 style="text-align: center" |\Delta

|rowspan="5" style="text-align: center" | delta

| change in a variable (e.g. \Delta x)

| unitless

Laplace operator

| per square meter (m−2)

rowspan="3" style="text-align: center" | \delta

| displacement (usually small)

| meter (m)

Dirac delta function

|

Kronecker delta (e.g \delta_{ij})

|

rowspan="2" style="text-align: center" |\epsilon

|rowspan="2" style="text-align: center" | epsilon

| permittivity

| farad per meter (F/m)

strain

| unitless

style="text-align: center" |\varepsilon_0

|style="text-align: center" |epsilon nought

| Vacuum permittivity

| farad per meter (F/m)

style="text-align: center" | \zeta

| style="text-align: center" | zeta

| damping ratio

| unitless

rowspan=3 style="text-align: center" |\eta

|rowspan=3 style="text-align: center" | eta

| angular jerk

| radian per second cubed (rad⋅s−3)

energy efficiency

| unitless

(dynamic) viscosity (also \mu)

| pascal second (Pa⋅s)

style="text-align: center" |\theta

|style="text-align: center" | theta

| angular displacement

| radian (rad)

style="text-align: center" |\kappa

|style="text-align: center" | kappa

| torsion coefficient
also called torsion constant

| newton meter per radian (N⋅m/rad)

style="text-align: center" |\Lambda

|rowspan=4 style="text-align: center" | lambda

| cosmological constant

| per second squared (s−2)

rowspan="3" style="text-align: center" |\lambda

| wavelength

| meter (m)

linear charge density

| coulomb per meter (C/m)

eigenvalue

| non-zero vector

rowspan="6" style="text-align: center" |\mathbf{\mu}

|rowspan="6" style="text-align: center" |mu

| magnetic moment

| ampere square meter (A⋅m2)

coefficient of friction

| unitless

(dynamic) viscosity (also \eta)

| pascal second (Pa⋅s)

permeability (electromagnetism)

| henry per meter (H/m)

reduced mass

| kilogram (kg)

Standard gravitational parameter

| cubic meter per second squared

style="text-align: center" |\mathbf{\mu}_0

|style="text-align: center" |mu nought

| Vacuum permeability or the magnetic constant

| henry per meter (H/m)

rowspan=3 style="text-align: center" |\nu

|rowspan=3 style="text-align: center" | nu

| frequency

| hertz (Hz)

kinematic viscosity

| meter squared per second (m2/s)

neutrino

|

style="text-align: center" | \xi

|style="text-align: center" | xi

| electromotive force

| volt (V)

style="text-align: center" | \pi

|style="text-align: center" | pi

| 3.14159... (irrational number)

| unitless

rowspan=3 style="text-align: center" | \rho

|rowspan=3 style="text-align: center" | rho

| mass density
usually simply called density

| kilogram per cubic meter (kg/m3)

volume charge density

| coulomb per cubic meter (C/m3)

resistivity

| ohm meter (Ω⋅m)

style="text-align: center" | \Sigma

|rowspan=6 style="text-align: center" | sigma

| summation operator

|

rowspan=5 style="text-align: center" | \sigma

| area charge density

| coulomb per square meter (C/m2)

electrical conductivity

| siemens per meter (S/m)

normal stress

| pascal (Pa)

scattering cross section

| barn (10^-28 m^2)

surface tension

| newton per meter (N/m)

rowspan=4 style="text-align: center" |\tau

|rowspan=4 style="text-align: center" | tau

| torque

| newton meter (N⋅m)

shear stress

| pascal (Pa)

time constant

| second (s)

6.28318... ()

| unitless

rowspan=2 style="text-align: center" |\Phi

|rowspan=4 style="text-align: center" | phi

| field strength

| unit varies depending on context

magnetic flux

| weber (Wb)

rowspan=2 style="text-align: center" | \phi

| electric potential

| volt (V)

Higgs field work function

|

style="text-align: center" |\Psi

|style="text-align: center" | psi

| wave function

| m−3/2

style="text-align: center" |\Omega

| rowspan="3" style="text-align: center" |omega

| electric resistance

| ohm

rowspan="2" style="text-align: center" | \omega

| angular frequency

| radian per second (rad/s)

angular velocity

|radian per second (rad/s)

Other characters

class = wikitable
Symbol

! Name

! Meaning

! SI unit of measure

style="text-align: center" |\nabla\cdot

| style="text-align: center" | nabla dot

| the divergence operator
often pronounced "del dot"

| per meter (m−1)

style="text-align: center" |\nabla\times

| style="text-align: center" | nabla cross

|the curl operator
often pronounced "del cross"

|per meter (m−1)

style="text-align: center" | \nabla

| style="text-align: center" | nabla

| delta (differential operator)

|

the area of a shape

| style="text-align: center" | \partial

| "der", "dow", "die", "partial" or simply "d"

|partial derivative (e.g. \partial y/\partial x)

|

style="text-align: center" | \Box

| style="text-align: center" | D'Alembert operator

| \nabla^2-\partial_t^2

|

style="text-align: center" | \langle \, \, \rangle

|rowspan=2 style="text-align: center" | angle brackets

| average
sometimes over Maxwell–Boltzmann distribution

|

style="text-align: center" | \langle \ | \ \rangle

| Dirac notation

|

style="text-align: center" | \int

|integral

|the inverse of the derivative.

|unitless

See also

References

{{Reflist}}

{{Refbegin}}

  • {{Cite web|last=Elert|first=Glenn|title=Special Symbols|url=https://physics.info/symbols/|website=The Physics Hypertextbook|access-date=4 August 2021}}
  • {{Cite web|author=NIST|title=SI Units|date=16 August 2023|url=https://www.nist.gov/pml/owm/metric-si/si-units|website=www.nist.gov|publisher=NIST}}

{{Refend}}

{{Mathematical symbols notation language}}

{{DEFAULTSORT:List Of Common Physics Notations}}

Common Physics Abbreviations