About a one-dimensional stationary Schrödinger-Poisson system with Kohn-Sham potential

DOI10.1007/PL00001496zbMath0928.35030OpenAlexW2088388768MaRDI QIDQ1296948

Hans-Christoph Kaiser, Joachim Rehberg

Publication date: 12 January 2000

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00001496

zbMATH Keywords

nonlinear Poisson equationselectron gas with reduced dimensionnano-electronicsquantum mechanical particle density operatorSchrödinger operator with mixed boundary conditionssimulation of electronic devices

Mathematics Subject Classification ID

Related Items (10)

ON STABILITY OF SQUARE ROOT DOMAINS FOR NON‐SELF‐ADJOINT OPERATORS UNDER ADDITIVE PERTURBATIONS ⋮ A QUANTUM TRANSMITTING SCHRÖDINGER–POISSON SYSTEM ⋮ Density and current of a dissipative Schrödinger operator ⋮ Dissipative Schrödinger–Poisson systems ⋮ Convexity of trace functionals and Schrödinger operators ⋮ Monotonicity properties of the quantum mechanical particle density: An elementary proof ⋮ Classical solutions of drift-diffusion equations for semiconductor devices: The two-dimensional case ⋮ Multiscale Analysis and Computation for a Stationary Schrödinger--Poisson System in Heterogeneous Nanostructures ⋮ Uniqueness for Dissipative Schrödinger-Poisson Systems ⋮ Macroscopic current induced boundary conditions for Schrödinger-type operators.

This page was built for publication: About a one-dimensional stationary Schrödinger-Poisson system with Kohn-Sham potential