Lorentz transformations for light-cone coordinates

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Lorentz transformations for light-cone coordinates.

Consider coordinates xµ = (x 0 , x 1,x 2 , x 3) and the associated light-cone coordinates

(x+ , x -,x 2 , x 3 ). Write the following Lorentz transformations in terms of the light-cone coordinates:

(a) A boost with velocity parameter f3 in the x 1 direction.

(b) A rotation with angle (} in the x 1,x 2 plane.

Reference no: EM13967985

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