Answer Happy

Question 3 The Relativistic Dopler Effect (5 points) Note: DO NOT Use the Sympy simplify() function for this question when printing the final output of a computation!! Consider a plane wave propagating in the x direction described by the wave 4 vector, k" =(, k, 0,0) = (k, k, 0, 0) (a) Calculate the new wave 4 vector after a Lorentz boost in the x direction. For the Lorentz boost along the x axis use the following matrix for this question and the 3 (b). (2 points) (boost). (A = Y -By 0 0 -By O 0 Y 00 0 1 0 001 with = and y = VER In [8]: # your solution to 3 (a) here !! (b) By using the definition of the Field strength tensor from question 2 to answer the following question. Let us assume that the components of the electric and magnetic field are Ē= (0, E, 0) and B = (0, 0, B) calculate what would be the components of the electric and magnetic field after a Lorentz boost in the x direction. Hint: You can do this by substituting the components of the electric and magnetic field that are given in the question into the field strength tensor and then transform the resulting tensor with a Lorentz transformation which is a boost in the x direction. (3 points) In [7]: # your solution to 3. (b) here !!