“Four-Vector”的概念、定义、习题解题方法及翻译-数学辞典

单词

Four-Vector

释义

Four-Vector

A four-element vector

(1)

which transforms under a Lorentz Transformation like the Position Four-Vector. This means it obeys

(2)

(3)

(4)

where

is the Lorentz Tensor. Multiplication of two four-vectors with the Metric

gives products of the form

(5)

In the case of the Position Four-Vector,

(where

is the speed of light

)and this product is an invariant known as the spacetime interval.

See also Gradient Four-Vector, Lorentz Transformation, Position Four-Vector, Quaternion

References

Morse, P. M. and Feshbach, H. ``The Lorentz Transformation, Four-Vectors, Spinors.'' §1.7 in Methods of Theoretical Physics, Part I. New York: McGraw-Hill, pp. 93-107, 1953.

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