2020
DOI: 10.1002/num.22534
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Efficient approximation algorithm for the Schrödinger–Possion system

Abstract: In this article, we study an efficient approximation algorithm for the Schrödinger-Possion system arising in the resonant tunneling diode (RTD) structure. By following the classical Gummel iterative procedure, we first decouple this nonlinear system and prove the convergence of the iteration method. Then via introducing a novel spatial discrete method, we solve efficiently the decoupled Schrödinger and Possion equations with discontinuous coefficients on no-uniform meshes at each iterative step, respectively. … Show more

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Cited by 2 publications
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“…This is the prototypical singleparticle Hartree mean-field approximation. For many applications an approach based on Schrödinger-Poisson is sufficient, e.g., [3,[114][115][116][117][118].…”
Section: Wigner Functionmentioning
confidence: 99%
“…This is the prototypical singleparticle Hartree mean-field approximation. For many applications an approach based on Schrödinger-Poisson is sufficient, e.g., [3,[114][115][116][117][118].…”
Section: Wigner Functionmentioning
confidence: 99%