1. There is a vast literat0ure dealing with the theory of rigid lattice (but including intramolecular vibrations) molecular exciton states. Representative descriptions of the basic theory of exciton states can be found in: M. Kasha and M. Oppenheimer, Jr. , Davydov's Theory of Molecular Excitons, McGraw Hill, New York (1962); D.P. Craig and S.H. Walmsley, Excitons in Molecular Crystals, Benjamin, New York (1968); V.L. Broude, E.I. Rashba and E. F. Sheka, eds. Spectroscopy of Molecular Excitons, Springer-Verlag, Berlin (1985); S.A. Rice and J. Jortner in Physics and Chemistry of the Organic Solid State, eds. D. Fox, M.M. Labes and A. Weissberger, Vol. III (1967) 201; G.W. Robinson, Ann. Rev. Phys. Chem. 21 (1970) 429.
2. There is also a vast literature dealing with the theory of scattering of molecular excitons. Representative descriptions of the basic theory of exciton-lattice phonon scattering can be found in:.M. Grover and R. Silbey, J. Chem. Phys. 54 (1971) 4843; M. Grover and R. Silbey, J. Chem. Phys. 52 (1970) 2099; S. Fischer and S.A. Rice, J. Chem. Phys. 52 (1970) 2089; H. Haken and P. Reineker, Z. Phys. 249 (1972) 253; H. Haken and G. Strobl, Z. Phys. 262 (1973) 135; V.M. Kenkre asnd R.S. Knox, Phys. Rev. B 9 (1974) 5279; V.M. Kenkre and R.S. Knox, Phys. Rev. Lett. 33 (1974) 803; X. Chen and R. Silbey, J. Chem. Phys. 132 (2010) 204503; D. Abramavicius and S. Mukamel, J. Chem. Phys. 134 (2011) 174504.
3. Two-dimensional spectroscopy of electronic couplings in photosynthesis
4. Just as for the description of molecular excitons, there is a vast literature dealing with the theory of radiationless transitions in large molecules. An elementary description of the basic theory can be found in J.I. Steinfeld, Molecules and Radiation, Harper and Row, New York (1974), and sophisticated versions of the theory can be found in J. Jortner and S. Mukamel in The World of Quantum Chemistry. Eds. R. Daudel and P. Pullman, Reidel, Dordrecht, Holland (1974) and G. W. Robinson in Excited States, Vol. I, ed. E.C. Lim, Academic Press, New York (1974).
5. Observation of restricted IVR in large molecules: Quasi-periodic behavior, phase-shifted and non-phase-shifted quantum beats