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.
(c) A boost with velocity parameter f3 in the x 3 direction.