“Lorentz transformation”的概念、定义、翻译、参考文献-科学参考

Lorentz transformation

Mathematics

Transformations between two frames of reference in special relativity. If the frames share an origin and x is taken in the direction of the relative velocity of the two frames and v is the relative velocity of the frames, then their coordinates are related by

$(\begin{matrix} \begin{matrix} c t' \\ x' \end{matrix} \\ \begin{matrix} y' \\ z' \end{matrix} \end{matrix}) = (\begin{matrix} \begin{matrix} γ & - γ v / c \\ - γ v / c & γ \end{matrix} & \begin{matrix} 0 & 0 \\ 0 & 0 \end{matrix} \\ \begin{matrix} 0 & 0 \\ 0 & 0 \end{matrix} & \begin{matrix} 1 & 0 \\ 0 & 1 \end{matrix} \end{matrix}) (\begin{matrix} \begin{matrix} c t \\ x \end{matrix} \\ \begin{matrix} y \\ z \end{matrix} \end{matrix})$

where γ‎ = (1–v²/c²)^–1/2. The Lorentz transformations form a group under composition called the Lorentz group. Generally, two frames of reference are connected by a Lorentz transformation and a translation, such elements forming the Poincaré group. See also Galilean relativity, simultaneity, time dilation.

Astronomy

A set of equations relating the time and position of an event as seen by one observer to the time and position of that same event seen by a second observer who is moving at constant velocity relative to the first. The equations are named after the Dutch theoretical physicist Hendrik Antoon Lorentz (1853–1928), who initially derived them. They were later incorporated in special relativity.

单词	Lorentz transformation
释义	Lorentz transformation Mathematics Transformations between two frames of reference in special relativity. If the frames share an origin and x is taken in the direction of the relative velocity of the two frames and v is the relative velocity of the frames, then their coordinates are related by $(\begin{matrix} \begin{matrix} c t' \\ x' \end{matrix} \\ \begin{matrix} y' \\ z' \end{matrix} \end{matrix}) = (\begin{matrix} \begin{matrix} γ & - γ v / c \\ - γ v / c & γ \end{matrix} & \begin{matrix} 0 & 0 \\ 0 & 0 \end{matrix} \\ \begin{matrix} 0 & 0 \\ 0 & 0 \end{matrix} & \begin{matrix} 1 & 0 \\ 0 & 1 \end{matrix} \end{matrix}) (\begin{matrix} \begin{matrix} c t \\ x \end{matrix} \\ \begin{matrix} y \\ z \end{matrix} \end{matrix})$ where γ‎ = (1–v²/c²)^–1/2. The Lorentz transformations form a group under composition called the Lorentz group. Generally, two frames of reference are connected by a Lorentz transformation and a translation, such elements forming the Poincaré group. See also Galilean relativity, simultaneity, time dilation. Astronomy A set of equations relating the time and position of an event as seen by one observer to the time and position of that same event seen by a second observer who is moving at constant velocity relative to the first. The equations are named after the Dutch theoretical physicist Hendrik Antoon Lorentz (1853–1928), who initially derived them. They were later incorporated in special relativity.
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