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Green's Function Formulation of Multiple Nonlinear Dirac $δ$-Function Potential in One Dimension (1911.08923v3)
Published 20 Nov 2019 in math-ph, math.MP, and quant-ph
Abstract: In this work, we study the scattering problem of the general nonlinear finitely many Dirac delta potentials with complex coupling constants (or opacities in the context of optics) using the Green's function method and then find the bound state energies and the wave functions for the particular form of the nonlinearity in the case of positive real coupling constants.
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