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lorentztransformation
lorentz transformation
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LORENTZ TRANSFORMATION - In physics, the Lorentz transformations are a one-parameter family of linear transformations from a coordinate frame in space time to another frame t...
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Lorentz transformation might refer to |
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In physics, the Lorentz transformations are a one-parameter family of linear transformations from a coordinate frame in space time to another frame that moves at a constant velocity, the parameter, within the former. The transformations are named after the Dutch physicist Hendrik Lorentz. The respective inverse transformation is then parametrized by the negative of this velocity. * The most common form of the transformation, parametrized by the real constant * * * * v * , * * * {\displaystyle v,} * representing a velocity confined to the x-direction, is expressed as* * * * * * * * * t * ′ * * * * * = * γ * * ( * * t * − * * * * v * x * * * c * * 2 * * * * * * ) * * * * * * * x * ′ * * * * * = * γ * * ( * * x * − * v * t * * ) * * * * * * * y * ′ * * * * * = * y * * * * * * z * ′ * * * * * = * z * * * * * * * {\displaystyle {\begin{aligned}t'&=\gamma \left(t-{\frac {vx}{c^{2}}}\right)\\x'&=\gamma \left(x-vt\right)\\y'&=y\\z'&=z\end{aligned}}} * where (t, x, y, z) and (t′, x′, y′, z′) are the coordinates of an event in two frames, where the primed frame is seen from the unprimed frame as moving with speed v along the x-axis, c is the speed of light, and * * * * γ * = * * * * ( * * * 1 * − * * * * v * * 2 * * * * ... |