What are the two polarization states in 2D light?

[itaibh1]

Hello i wasn't sure if to ask this in here or in homework! I stumbled upon an assignment to build the model of photon gas in 2D space. in the answer it was stated that the light have 2 polarization states in 2D model, how come? the field have only one way to propagate regarding the wave direction.
thanks!

 

[Simon Bridge]

Welcome to PF;
Really need to see the context ... but it is likely that they mean to restrict the motion to 2D, not the EM field of the light itself. The polarization directions are perpendicular to the direction of propagation.

You should also realize that the Fermi-gas approach is a particle model where ideas like "propagation" usually belong to the wave model. In the particle model, polarization is understood a bit differently:
http://farside.ph.utexas.edu/teaching/qm/lectures/node5.html