On Accelerated Coordinate Systems in Classical and Relativistic Mechanics
- 1 June 1945
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 67 (11-12) , 358-363
- https://doi.org/10.1103/physrev.67.358
Abstract
A simplified discussion is given of the problem of introducing linearly accelerated axes by a method applicable alike to classical and relativistic mechanics. The mathematical method is based on the Lie theory of the 4-dimensional conformal group which is presented in such a way that the transformations leading to accelerated axes are exhibited explicitly. The classical theory is shown to be a degenerate case of the relativistic theory, so that the transformations to accelerated axes have a geometrical interpretation in terms of inversive transformations in both theories.Keywords
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