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2) Lorentz transformations a) A photon with energy Eph in a reference frame S moves at...
a) A photon with energy Eph in a reference frame S moves at an angle 0...
a) A photon with energy Eph in a reference frame S moves at an angle 0 with respect to the y axis, in the x-y plane (i.e., its propagation vector is  = (sin 0, cos 0, 0)). Write out the photon's momentum four-vector pph in frame S. b) Write out the 4x4 matrix that describes a Lorentz boost into a frame (S') that moves with velocity v (corresponding to Lorentz factor v) in the y direction of frame S....
Lorentz transformations a) A photon with energy Eph in a reference frame S moves at an...
Lorentz transformations a) A photon with energy Eph in a reference frame S moves at an angle θ with respect to the y axis, in the x-y plane (i.e., its propagation vector is ˆk = (sin θ, cos θ, 0)). Write out the photon’s momentum four-vector p μ ph in frame S.
Question 5 [12 10 22 marks] (a) In a given inertial reference frame, S', consider a...
Question 5 [12 10 22 marks] (a) In a given inertial reference frame, S', consider a region of space where there is a uniform and constant electric field, E', and zero magnetic field, i.e. B' = 0. The frame S' moves with respect to an observer, in another frame S, with velocity v. Write an expression for the electric field, E, observed in S? Clearly explain any notation (i) and new quantities introduced Write an expression for the magnetic field,...
a) A photon with energy Eph in a reference frame S moves at an angle 0 with respect to the y axis, in the x-y plane (i.e., its propagation vector is  = (sin 0, cos 0, 0)). Write out the photon's momentum four-vector pph in frame S. b) Write out the 4x4 matrix that describes a Lorentz boost into a frame (S') that moves with velocity v (corresponding to Lorentz factor v) in the y direction of frame S....
Question 5 [12 10 22 marks] (a) In a given inertial reference frame, S', consider a region of space where there is a uniform and constant electric field, E', and zero magnetic field, i.e. B' = 0. The frame S' moves with respect to an observer, in another frame S, with velocity v. Write an expression for the electric field, E, observed in S? Clearly explain any notation (i) and new quantities introduced Write an expression for the magnetic field,...
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