References for Transition State Theory and Quantum Transtion State Theory
There are many sources that you can check out, in particular the reviews of Truhlar:


Current Status of Transition-State Theory by Truhlar et al.


This article was used in my undergraduate course of chemical kinetics, so I think that it could be a good source. Also we used:


Variational transition-state theory by Truhlar and Garrett


Maybe they are a bit outdated, but they are good as start points. The abstract of this newer article make it seems to be useful for you 


Transition state theory: Variational formulation, dynamical corrections, and error estimates by Vanden-Eijnden and Tal


To deeply understand the theory statistical physics is a must. A good source (that also deals with TST) is the Ralph H. Fowler's book.