Wave function of a photon in a spherical cavity

[tarquinius]

Hello there, could anyone help me with a certain basic problem in relativistic QM? What would be the wave function of a photon (or generally a particle with zero rest mass) in a spherical 3D cavity, having potential energy V=0 within the cavity and V=k outside the sphere (k>0)? I have been trying to google it but all I have found were just solutions assuming nonzero rest mass.

Thanks in advance.

 

[jfy4]

I think you can solve this bad-boy non-relativistically, there are many derivations in quantum optics texts where there is a cavity with volume V, and the wave function is derived. Id check out a quantum optics textbook.

 

[atyy]

I've never read this, but maybe it's relevant: http://arxiv.org/abs/quant-ph/0604169