end of day, but i will dig up a few papers that i have on it. came up recently in the context of some research on fano resonances, there is a good paper which presents a good toy model ... just can not remember what journal....
I found the following paper by Fleischhauer, Imamoglu and Marangos useful. It is fairly extensive, although I don't know if it has as much math as you want. RMP_EIT_Fleischhauer.pdf
So I just looked through my folder on these and realized that most of my papers are based on the discussion of Fano resonances. Since EIT is a type of Fano resonance. So you would be best served looking at the first paper by Fano: Phy Rev 1961 vol 124 #6, also found this paper interesting: Classical analogy of Fano Resonaces, Joe et al Phys scr 74 (2006) 259
thanks a lot yeah, but fano's paper is a bit hard for me years ago, i read it, but cannot follow the math there the problem is that there are some delta functions i will try again
agree the fano paper being difficult, but you said you wanted the hard math to the phenomena. ;-) that said as fano/eit are being referenced a bit more in some of the optics lit that I am reading for plasmons, I would suggest doing the whole check references and see where it leads you. that is what i have done. by the way there is one other paper that i got recently in prepress that has lots of good refs. I will dig it out when i get home. j