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单词 Lorentz transformations
释义 Lorentz transformations
A set of equations proposed by H. A. Lorentz for transforming the position and motion parameters from a frame of reference with origin at O and coordinates (x,y,z) to a frame moving relative to it with origin at O' and coordinates (x',y',z'). They replace the Galilean transformations used in Newtonian mechanics and are used in relativistic mechanics. They are:
x' = ß(x - vt)y' = yz' = zt' = ß(t - vx/c2)
,where v is the relative velocity of separation of O and O', c is the speed of light, and
ß = 1/v(1 - v2/c2)
. The above equations apply for constant v in the xx' direction with O and O' coinciding at
t = t' = 0
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