Frame transformations between inertial observers can be conveniently analyzed by introducing a suitable set of projection operators, which represent an useful formalism for calculations. The properties of these operators are investigated in details. Finally it is shown that the condition of rotational invariance of a matrix around a fixed direction is described by the aid of such operators.
High velocity frame transformations I: Projection operators
BAMPI, FRANCO;ZORDAN, CLARA
2008-01-01
Abstract
Frame transformations between inertial observers can be conveniently analyzed by introducing a suitable set of projection operators, which represent an useful formalism for calculations. The properties of these operators are investigated in details. Finally it is shown that the condition of rotational invariance of a matrix around a fixed direction is described by the aid of such operators.
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