The Cambridge Handbook of Physics Formulas
Index from 'Fraunhofer integral' to 'Kinetic theory' 
Fraunhofer integral [8.34], 165
Fraunhofer limit [8.44], 165
free charge density [7.57], 140
free current density [7.63], 140
FREE ELECTRON TRANSPORT PROPERTIES, 132
free energy [5.32], 108
free molecular flow [5.99], 113
FREE OSCILLATIONS, 78
free space impedance [7.197], 152
free spectral range
     Fabry Perot etalon [8.23], 163
     laser cavity [8.124], 174
free-fall timescale [9.53], 181
Frenet's formulae [2.292], 39
frequency (dimensions), 16
Fresnel diffraction
     Cornu spiral [8.54], 167
     edge [8.56], 167
     long slit [8.58], 167
     rectangular aperture [8.62], 167
Fresnel diffraction, 166
Fresnel Equations, 154
Fresnel half-period zones [8.49], 166
Fresnel integrals
     and the Cornu spiral [8.52], 167
     definition [2.393], 45
     in diffraction [8.54], 167
FRESNEL ZONES, 166
Fresnel-Kirchhoff formula
     plane waves [8.45], 166
     spherical waves [8.47], 166
Friedmann equations [9.97], 185
fringe visibility [8.101], 172
fringes (Moiré), 35
Froude number [3.312], 86
g-factor
     electron, 8
     Landé [4.146], 100
     muon, 9
gain in decibels [5.144], 117
galactic
     coordinates [9.20], 178
     latitude [9.21], 178
     longitude [9.22], 178
GALACTIC COORDINATES, 178
Galilean transformation
     of angular momentum [3.5], 64
     of kinetic energy [3.6], 64
     of momentum [3.4], 64
     of time and position [3.2], 64
     of velocity [3.3], 64
GALILEAN TRANSFORMATIONS, 64
GAMMA FUNCTION, 46
gamma function
     and other integrals [2.396], 45
     definition [2.408], 46
gas
     adiabatic expansion [5.58], 110
     adiabatic lapse rate [3.294], 84
     constant, 6, 9, 86, 110
     Dieterici, 111
     Doppler broadened [8.116], 173
     flow [3.292], 84
     giant (astronomical data), 176
     ideal equation of state [5.57], 110
     ideal heat capacities, 113
     ideal, or perfect, 110
     internal energy (ideal) [5.62], 110
     isothermal expansion [5.63], 110
     linear absorption coefficient [5.175], 120
     molecular flow [5.99], 113
     monatomic, 112
     paramegnetism [7.112], 144
     pressure broadened [8.115], 173
     speed of sound [3.318], 86
     temperature scale [5.1], 106
     Van der Waals, 111
GAS EQUIPARTITION, 113
Gas laws, 110
gauge condition
     Coulomb [7.42], 139
     Lorentz [7.43], 139
Gaunt factor [7.299], 160
Gauss's
     law [7.51], 140
     lens formula [8.64], 168
     theorem [2.59], 23
Gaussian
     electromagnetism, 135
     Fourier transform of [2.508], 54
     integral [2.399], 46
     light [8.110], 172
     optics, 168
     probability distribution
         k-dimensional [2.557], 58
         1-dimensional [2.553], 58
Geiger's law [4.169], 103
Geiger-Nuttall rule [4.170], 103
GENERAL CONSTANTS, 7
GENERAL RELATIVITY, 67
generalised coordinates [3.213], 79
Generalised dynamics, 79
generalised momentum [3.218], 79
geodesic deviation [3.56], 67
geodesic equation [3.54], 67
geometric
     distribution [2.549], 57
     mean [2.110], 27
     progression [2.108], 27
Geometrical optics, 168
Gibbs
     constant (value), 9
     distribution [5.113], 114
     entropy [5.106], 114
     free energy [5.35], 108
Gibbs's phase rule [5.54], 109
Gibbs-Duhem relation [5.38], 108
GIBBS-HELMHOLTZ EQUATIONS, 109
giga, 5
golden mean (value), 9
golden rule (Fermi's) [4.162], 102
GRADIENT, 21
gradient
     cylindrical coordinates [2.26], 21
     general coordinates [2.28], 21
     rectangular coordinates [2.25], 21
     spherical coordinates [2.27], 21
grand canonical ensemble [5.113], 114
grand partition function [5.112], 114
grand potential
     definition [5.37], 108
     from grand partition function [5.115], 115
grating
     dispersion [8.31], 164
     formula [8.27], 164
     resolving power [8.30], 164
GRATINGS, 164
Gravitation, 66
gravitation
     field from a sphere [3.44], 66
     general relativity, 67
     Newton's law [3.40], 66
     Newtonian, 71
     Newtonian field equations [3.42], 66
gravitational
     collapse [9.53], 181
     constant, 6, 7, 16
     lens [9.50], 180
     potential [3.42], 66
     redshift [9.74], 183
     wave radiation [9.75], 183
GRAVITATIONALLY BOUND ORBITAL MOTION, 71
gravity
     and motion on Earth [3.38], 66
     waves (on a fluid surface) [3.320], 86
gray (unit), 4
GREEK ALPHABET, 18
Green's first theorem [2.62], 23
Green's second theorem [2.63], 23
Greenwich sidereal time [9.6], 177
greybody [5.193], 121
group speed (wave) [3.327], 87
Grüneisen parameter [6.56], 131
gyro-frequency [7.265], 157
gyro-radius [7.268], 157
gyromagnetic ratio
     definition [4.138], 100
     electron [4.140], 100
     proton (value), 8
gyroscopes, 77
gyroscopic
     limit [3.193], 77
     nutation [3.194], 77
     precession [3.191], 77
     stability [3.192], 77
H (magnetic field strength) [7.100], 143
half-life (nuclear decay) [4.164], 103
half-period zones (Fresnel) [8.49], 166
Hall
     coefficient (dimensions), 16
     conductivity [7.280], 158
     effect and coefficient [6.67], 132
     voltage [6.68], 132
Hamilton's equations [3.220], 79
Hamilton's principal function [3.213], 79
Hamilton-Jacobi equation [3.227], 79
Hamiltonian
     charged particle (Newtonian) [7.138], 146
     charged particle [3.223], 79
     definition [3.219], 79
     of a particle [3.222], 79
     quantum mechanical [4.21], 91
Hamiltonian (dimensions), 16
HAMILTONIAN DYNAMICS, 79
Hamming window [2.585], 60
Hanbury Brown and Twiss interferometry, 172
Hanning window [2.584], 60
harmonic mean [2.111], 27
HARMONIC OSCILLATOR, 95
harmonic oscillator
     damped [3.196], 78
     energy levels [4.68], 95
     entropy [5.108], 114
     forced [3.204], 78
     mean energy [6.40], 130
Hartree energy [4.76], 95
HEAT CAPACITIES, 107
heat capacity (dimensions), 16
heat capacity in solids
     Debye [6.45], 130
     free electron [6.76], 133
heat capacity of a gas
     Cp-CV [5.17], 107
     constant pressure [5.15], 107
     constant volume [5.14], 107
     for f degrees of freedom, 113
     ratio (g) [5.18], 107
heat conduction/diffusion equation
     differential equation [2.341], 43
     Fick's second law [5.96], 113
heat engine efficiency [5.10], 107
heat pump efficiency [5.12], 107
heavy beam [3.260], 82
hectare, 12
hecto, 5
Heisenberg uncertainty relation [4.7], 90
Helmholtz equation [2.342], 43
Helmholtz free energy
     definition [5.32], 108
     from partition function [5.114], 115
hemisphere (centre of mass) [3.170], 76
hemispherical shell (centre of mass) [3.171], 76
henry (unit), 4
Hermite equation [2.347], 43
Hermite polynomials [4.70], 95
Hermitian
     conjugate operator [4.17], 91
     matrix [2.73], 24
     symmetry, 53
Heron's formula [2.254], 36
herpolhode, 63, 77
hertz (unit), 4
Hertzian dipole [7.207], 153
hexagonal system (crystallographic), 127
High energy and nuclear physics, 103
Hohmann cotangential transfer [3.98], 70
hole current density [6.89], 134
Hooke's law [3.230], 80
l'Hôpital's rule [2.132], 28
HORIZON COORDINATES, 177
hour (unit), 5
hour angle [9.8], 177
Hubble constant (dimensions), 16
Hubble constant [9.84], 184
Hubble law
     as a distance indicator [9.45], 180
     in cosmology [9.83], 184
hydrogen atom
     eigen -functions [4.80], 96
     energy [4.81], 96
     Schrödinger equation [4.79], 96
HYDROGEN-LIKE ATOMS - SCHRöDINGER SOLUTION, 96
Hydrogenic atoms, 95
hydrostatic
     compression [3.238], 80
     condition [3.293], 84
     equilibrium (of a star) [9.61], 181
hyperbola, 38
HYPERBOLIC DERIVATIVES, 41
hyperbolic motion, 72
HYPERBOLIC RELATIONSHIPS, 33
I (Stokes parameter) [8.89], 171
icosahedron, 38
IDEAL FLUIDS, 84
IDEAL GAS, 110
ideal gas
     adiabatic equations [5.58], 110
     internal energy [5.62], 110
     isothermal reversible expansion [5.63], 110
     law [5.57], 110
     speed of sound [3.318], 86
IDENTICAL PARTICLES, 115
illuminance (definition) [5.164], 119
illuminance (dimensions), 17
IMAGE CHARGES, 138
impedance
     acoustic [3.276], 83
     dimensions, 17
     electrical, 148
     transformation [7.166], 149
impedance of
     capacitor [7.159], 148
     coaxial transmission line [7.181], 150
     electromagnetic wave [7.198], 152
     forced harmonic oscillator [3.212], 78
     free space
         definition [7.197], 152
         value, 7
     inductor [7.160], 148
     lossless transmission line [7.174], 150
     lossy transmission line [7.175], 150
     microstrip line [7.184], 150
     open-wire transmission line [7.182], 150
     paired strip transmission line [7.183], 150
     terminated transmission line [7.178], 150
     waveguide
         TE modes [7.189], 151
         TM modes [7.188], 151
impedances
     in parallel [7.158], 148
     in series [7.157], 148
impulse (dimensions), 17
impulse (specific) [3.92], 70
incompressible flow, 84, 85
indefinite integrals, 44
induced charge density [7.84], 142
INDUCTANCE, 137
inductance
     dimensions, 17
     energy [7.154], 148
     energy of an assembly [7.135], 146
     impedance [7.160], 148
     mutual
         definition [7.147], 147
         energy [7.135], 146
     self [7.145], 147
     voltage across [7.146], 147
inductance of
     cylinders (coaxial) [7.24], 137
     solenoid [7.23], 137
     wire loop [7.26], 137
     wires (parallel) [7.25], 137
induction equation (MHD) [7.282], 158
inductor, see inductance
INELASTIC COLLISIONS, 73
INEQUALITIES, 30
inertia tensor [3.136], 74
inner product [2.1], 20
Integration, 44
integration (numerical), 61
integration by parts [2.355], 44
intensity
     correlation [8.109], 172
     luminous [5.166], 119
     of interfering beams [8.100], 172
     radiant [5.154], 118
     specific [5.171], 120
Interference, 162
interference and coherence [8.100], 172
intermodal dispersion (optical fibre) [8.79], 169
internal energy
     definition [5.28], 108
     from partition function [5.116], 115
     ideal gas [5.62], 110
     Joule's law [5.55], 110
     monatomic gas [5.79], 112
interval (in general relativity) [3.45], 67
invariable plane, 63, 77
inverse Compton scattering [7.239], 155
INVERSE HYPERBOLIC FUNCTIONS, 35
inverse Laplace transform [2.519], 55
inverse matrix [2.83], 25
inverse square law [3.99], 71
INVERSE TRIGONOMETRIC FUNCTIONS, 34
ionic bonding [6.55], 131
irradiance (definition) [5.152], 118
irradiance (dimensions), 17
isobaric expansivity [5.19], 107
isophotal wavelength [9.39], 179
isothermal bulk modulus [5.22], 107
isothermal compressibility [5.20], 107
ISOTROPIC ELASTIC SOLIDS, 81
Jacobi identity [2.93], 26
Jacobian
     definition [2.333], 42
     in change of variable [2.334], 42
Jeans length [9.56], 181
Jeans mass [9.57], 181
Johnson noise [5.141], 117
joint probability [2.569], 59
Jones matrix [8.85], 170
Jones vectors
     definition [8.84], 170
     examples [8.84], 170
JONES VECTORS AND MATRICES, 170
Josephson frequency-voltage ratio, 7
joule (unit), 4
Joule expansion (and Joule coefficient) [5.25], 108
Joule expansion (entropy change) [5.64], 110
Joule's law (of internal energy) [5.55], 110
Joule's law (of power dissipation) [7.155], 148
Joule-Kelvin coefficient [5.27], 108
Julian centuries [9.5], 177
Jupiter data, 176
Kelvin
     circulation theorem [3.287], 84
     relation [6.83], 133
     temperature conversion, 15
     temperature scale [5.2], 106
     wedge [3.330], 87
kelvin (unit), 4
Kelvin-Helmholtz timescale [9.55], 181
Kepler's laws, 71
Kepler's problem, 71
Kerr solution (in general relativity) [3.62], 67
ket vector [4.34], 92
kilo, 5
kilogram (unit), 4
kinematic viscosity [3.302], 85
kinematics, 63
kinetic energy
     definition [3.65], 68
     for a rotating body [3.142], 74
     Galilean transformation [3.6], 64
     in the virial theorem [3.102], 71
     loss after collision [3.128], 73
     of a particle [3.216], 79
     of monatomic gas [5.79], 112
     operator (quantum) [4.20], 91
     relativistic [3.73], 68
     w.r.t. principal axes [3.145], 74
Kinetic theory, 112