Green's-function study of a model for diatomic polymers

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Abstract
The Green's functions in the coordinate and eigenfunction representations are found for the continuum model of a linearly conjugated diatomic polymer. The electronic density of states and spatial charge density are calculated using the Green's functions in the coordinate representation. After the determination of the appropriate boundary conditions for a diatomic polymer chain with a soliton, the optical absorption for a chain with a soliton and a soliton-antisoliton pair is calculated using Green's functions in the eigenfunction representation. The consequences of these results as they pertain to the optical sum rule are discussed.