The python script "problem-9.py" performs the algebra involved in
applying a little group element to polarization vectors.


It involves the following steps:

- define J^3, B^1 and B^2 as 4x4 matrices
- calculate exp(i*theta*J^3)
- calculate exp(i*(beta_1*B^1+beta_2*B^2))
- define the two polarization vectors
- left multiply the polarization vectors by exp(i*theta*J^3)*exp(i*(beta_1*B^1+beta_2*B^2))

To run the script (inside a jupyter console), do:
    load "problem-9.py"


The output of the script is included in the file "output.txt"
