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Research Description

We undertake the task of constructing formal physical models to account for the experimental evidence related to the luminescence of materials with technological applications.

For instance, we have constructed by means of statistical mechanics, mathematical models to explain the time resolved luminescence of several amorphous and crystaline materials doped with trivalent lanthanides. This type of materials (of ample technological use) exhibit the phenomenon of energy transfer between optical centers. This process consists of the transfer of the excitation energy from initially activated (excited) optical centers to other centers either at the ground or excited states. In this type of studies, the formalism must account for the microscopic interactions among optical centers as well as for the collective behavior of the optical center within the material. The former is treated by the methods of quantum mechanics, namely time-dependent perturbation theory, while the latter is treated by the methods of statistical mechanics.

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