Abstract
We treat the motion of a Frenkel exciton using a Hamiltonian which comprises a completely coherent part and a fluctuating part which describes both fluctuations of the energy of a localized exciton and fluctuations of the transition matrix elements between different lattice sites. Under the assumption that the fluctuating forces are Markoffian and Gaussian we derive exactly a density matrix equation which can be solved by a Green's function method.
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Haken, H., Strobl, G. An exactly solvable model for coherent and incoherent exciton motion. Z. Physik 262, 135–148 (1973). https://doi.org/10.1007/BF01399723
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DOI: https://doi.org/10.1007/BF01399723