Green's Function Formulation of Multiple Nonlinear Dirac $\delta$-Function Potential in One Dimension
Mathematical Physics
2020-02-10 v3 math.MP
Quantum Physics
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.
Cite
@article{arxiv.1911.08923,
title = {Green's Function Formulation of Multiple Nonlinear Dirac $\delta$-Function Potential in One Dimension},
author = {Fatih Erman and Haydar Uncu},
journal= {arXiv preprint arXiv:1911.08923},
year = {2020}
}
Comments
13 pages, published version