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The_Cambridge_Handbook_of_Physics_Formulas

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218 Index<br />

tions, 34<br />

Trigonometric and hyperbolic formulas, 32<br />

Trigonometric and hyperbolic integrals,<br />

45<br />

Trigonometric derivatives, 41<br />

Trigonometric relationships, 32<br />

triple-α process, 182<br />

true anomaly [3.104], 71<br />

tube, see pipe<br />

Tully-Fisher relation [9.49], 180<br />

tunnelling (quantum mechanical), 94<br />

tunnelling probability [4.61], 94<br />

turns ratio (<strong>of</strong> transformer) [7.163], 149<br />

two-level system (microstates <strong>of</strong>) [5.107],<br />

114<br />

U<br />

U (Stokes parameter) [8.92], 171<br />

UBV magnitude system [9.36], 179<br />

umklapp processes [6.59], 131<br />

uncertainty relation<br />

energy-time [4.8], 90<br />

general [4.6], 90<br />

momentum-position [4.7], 90<br />

number-phase [4.9], 90<br />

underdamping [3.198], 78<br />

unified atomic mass unit, 5, 6<br />

uniform distribution [2.550], 58<br />

uniform to normal distribution transformation,<br />

58<br />

unitary matrix [2.88], 25<br />

units (conversion <strong>of</strong> SI to Gaussian), 135<br />

Units, constants and conversions, 3–18<br />

universal time [9.4], 177<br />

Uranus data, 176<br />

UTC [9.4], 177<br />

V<br />

V (Stokes parameter) [8.94], 171<br />

van der Waals equation [5.67], 111<br />

Van der Waals gas, 111<br />

van der Waals interaction [6.50], 131<br />

Van-Cittert Zernicke theorem [8.108], 172<br />

variance estimator [2.542], 57<br />

variations, calculus <strong>of</strong> [2.334], 42<br />

Vector algebra, 20<br />

Vector integral transformations, 23<br />

vector product [2.2], 20<br />

vector triple product [2.12], 20<br />

Vectors and matrices, 20<br />

velocity (dimensions), 17<br />

velocity distribution (Maxwell-Boltzmann)<br />

[5.84], 112<br />

velocity potential [3.296], 84<br />

Velocity transformations, 64<br />

Venus data, 176<br />

virial coefficients [5.65], 110<br />

Virial expansion, 110<br />

virial theorem [3.102], 71<br />

vis-viva equation [3.112], 71<br />

viscosity<br />

dimensions, 17<br />

from kinetic theory [5.97], 113<br />

kinematic [3.302], 85<br />

shear [3.299], 85<br />

viscous flow<br />

between cylinders [3.306], 85<br />

between plates [3.303], 85<br />

through a circular pipe [3.305], 85<br />

through an annular pipe [3.307], 85<br />

Viscous flow (incompressible), 85<br />

volt (unit), 4<br />

voltage<br />

across an inductor [7.146], 147<br />

bias [6.92], 134<br />

Hall [6.68], 132<br />

law (Kirchh<strong>of</strong>f’s) [7.162], 149<br />

standing wave ratio [7.180], 150<br />

thermal noise [5.141], 117<br />

transformation [7.164], 149<br />

volume<br />

dimensions, 17<br />

<strong>of</strong> cone [2.272], 37<br />

<strong>of</strong> cube, 38<br />

<strong>of</strong> cylinder [2.270], 37<br />

<strong>of</strong> dodecahedron, 38<br />

<strong>of</strong> ellipsoid [2.268], 37<br />

<strong>of</strong> icosahedron, 38<br />

<strong>of</strong> octahedron, 38<br />

<strong>of</strong> parallelepiped [2.10], 20<br />

<strong>of</strong> pyramid [2.272], 37<br />

<strong>of</strong> revolution [2.281], 39<br />

<strong>of</strong> sphere [2.264], 37<br />

<strong>of</strong> spherical cap [2.276], 37<br />

<strong>of</strong> tetrahedron, 38<br />

<strong>of</strong> torus [2.274], 37<br />

volume expansivity [5.19], 107<br />

volume strain [3.236], 80<br />

vorticity and Kelvin circulation [3.287],

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