Difference between revisions of "Lorentz transformation"
(username removed) m (Changed see Also section) |
(username removed) m (Added reference) |
||
| Line 23: | Line 23: | ||
<math> t' = \gamma (t - \frac{ux}{c^2} ) </math> | <math> t' = \gamma (t - \frac{ux}{c^2} ) </math> | ||
| − | where <math> \gamma </math> is the [[Lorentz factor]]. | + | where <math> \gamma </math> is the [[Lorentz factor]]<ref>{{cite book |
| + | |author=Bradley W. Carroll, Dale A Ostlie | ||
| + | |title=An Introduction to Modern Astrophysics | ||
| + | |publisher=Pearson | ||
| + | |location=London | ||
| + | |isbn= | ||
| + | |pages= | ||
| + | |quote= | ||
| + | |language=English}}</ref>. | ||
=== Velocity Transforms === | === Velocity Transforms === | ||
Revision as of 16:22, September 9, 2016
Lorentz transformations form the group of linear isometries of Minkowski space.
In physics, a Lorentz transformation is the conversion of space and time between two different inertial frames of reference.
According to Einstein the principles of Special Relativity are mathematically expressed by Lorentz transformations owing to which it is possible to transform equations for mechanical and electromechanical phenomena between inertial systems.[1]
Mathematics of the Transforms
Displacement and Time
The transformation from one coordinate system to another system, , moving past this one at speed u, and with and axes colinear is:
where is the Lorentz factor[2].
Velocity Transforms
The velocity transforms can be found by differentiating the displacement transforms with respect to time. For the above coordinate systems, we find:
