A 4-D transformation satisfied by all Four-Vectors ,
(1) |
(2) |
(3) |
(4) | |||
(5) |
(6) | |||
(7) | |||
(8) | |||
(9) |
(10) |
A Lorentz transformation along the -axis can also be written
(11) |
(12) |
(13) | |||
(14) | |||
(15) |
See also Hyperbolic Rotation, Lorentz Group, Lorentz Tensor
References
Fraundorf, P. ``Accel-1D: Frame-Dependent Relativity at UM-StL.''
http://www.umsl.edu/~fraundor/a1toc.html.
Griffiths, D. J. Introduction to Electrodynamics. Englewood Cliffs, NJ: Prentice-Hall, pp. 412-414, 1981.
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.
© 1996-9 Eric W. Weisstein