Volume 86, Number 2, April 2009
|Number of page(s)||3|
|Published online||28 April 2009|
On the universality of the Carter and McLenaghan formula
West University of Timişoara - V. Parvan Ave. 4, RO-300223 Timişoara, Romania, EU
Accepted: 20 March 2009
It is shown that the formula of the isometry generators of the spinor representation given by Carter and McLenaghan is universal in the sense that this holds for any representation, in either local frames or even natural ones. Starting with the observation that point-dependent spin matrices in natural frames can be defined for any tensor representation, the covariant form of the isometry generators is written down, showing that this is just the Carter and McLenaghan formula in natural frames.
PACS: 04.20.Cv – Fundamental problems and general formalism / 04.62.+v – Quantum fields in curved spacetime / 11.30.-j – Symmetry and conservation laws
© EPLA, 2009
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.