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Composite exciton‐phonon states in molecular crystals
Author(s) -
Singh Jai
Publication year - 1986
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560300103
Subject(s) - phonon , exciton , hamiltonian (control theory) , eigenvalues and eigenvectors , condensed matter physics , physics , composite number , quantum mechanics , materials science , mathematics , mathematical optimization , composite material
It is known that the diagonalization of the exciton‐phonon Hamiltonian gives rise to the composite exciton‐phonon energy states. Within the single phonon approximation, two different diagonalized Hamiltonians are obtained for 0–0 and 0–1 phonon transitions in pure molecular crystals. The resulting secular equations are solved, and analytical expressions for the energy eigenvalues corresponding to the two transitions are derived. The thermal broadening due to the composite exciton‐phonon states interaction is also calculated at low temperatures, and the results agree with experiments.