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单词 lorentz transformation
释义

Lorentz transformation


Lorentz transformation

n. Physics A linear map that expresses the time and space coordinates of one reference frame in terms of those of another one.
[After Hendrik Lorentz.]

Lorentz transformation

n (General Physics) a set of equations relating the coordinates of space and time used by two hypothetical observers in uniform relative motion. According to the special theory of relativity the laws of physics are invariant under this transformation [C20: named after H. A. Lorentz]

Lorentz transformation


Lorentz transformation

A set of equations used in the special theory of relativity to transform the coordinates of an event (x , y , z , t) measured in one inertial frame of reference to the coordinates of the same event (x′ , y′ , z′ , t ′) measured in another frame moving relative to the first at constant velocity v : x = (x′ + vt′ )/β y = y′ z = z′ ; t = (t′ + x′v/c 2)/β β is the factor √(1 – v 2/c 2) and c is the speed of light. When v is very much less than c , these equations reduce to those used in classical mechanics.

Lorentz transformation

[′lȯr‚ens ‚tranz·fər‚mā·shən] (mathematics) Any linear transformation of euclidean four space which preserves the quadratic form q(x,y,z,t) = t 2-x 2-y 2-z 2. (relativity) Any of the family of mathematical transformations used in the special theory of relativity to relate the space and time variables of different Lorentz frames.
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