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Citation - WoS: 5
Citation - Scopus: 5
The Propagators for Δ and Δ′ Potentials With Time-Dependent Strengths
(Frontiers Media S.A., 2020) Erman, Fatih; Gadella, Manuel; Uncu, Haydar
We study the time-dependent Schrodinger equation with finite number of Dirac delta and delta ' potentials with time dependent strengths in one dimension. We obtain the formal solution for generic time dependent strengths and then we study the particular cases for single delta potential and limiting cases for finitely many delta potentials. Finally, we investigate the solution of time dependent Schrodinger equation for delta ' potential with particular forms of the strengths.
Citation - WoS: 4
Citation - Scopus: 4
Green's Function Formulation of Multiple Nonlinear Dirac Delta-Function Potential in One Dimension
(Elsevier, 2020) Erman, Fatih; Uncu, Haydar
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. (C) 2020 Elsevier B.V. All rights reserved.

Mathematics / Matematik