Generalized master equations from the nonlinear Schrödinger equation and propagation in an infinite chain.
作者： H.-L. Wu , V. M. Kenkre
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摘要: Generalized master equations with nonlinear memory functions describing quasiparticle transport on lattices are derived explicitly from the discrete Schr\"odinger equation through application of diagonalizing projection operators. Exact results presented for dimers, and an approximation scheme is developed extended systems such as infinite chain, which treats nonlinearity exactly intersite transfer perturbatively. An apparent connection to Toda lattice pointed out. The exact dimer include explicit evaluation initial (driving) term in generalized equation.
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