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math-ph2019★ 5 cited
Green's Function Formulation of Multiple Nonlinear Dirac -Function Potential in One Dimension
Fatih Erman, Haydar Uncu
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)…
math-ph2016★ 28 cited
One-Dimensional Semirelativistic Hamiltonian with Multiple Dirac Delta Potentials
Fatih Erman, Manuel Gadella, Haydar Uncu
In this paper, we consider the one-dimensional semirelativistic Schrödinger equation for a particle interacting with Dirac delta potentials. Using the heat kernel techniques, w…