About a stationary Schrödinger-Poisson system with Kohn-Sham potential in a bounded two- or three-dimensional domain (Q1570960)
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scientific article; zbMATH DE number 1472245
| Language | Label | Description | Also known as |
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| English | About a stationary Schrödinger-Poisson system with Kohn-Sham potential in a bounded two- or three-dimensional domain |
scientific article; zbMATH DE number 1472245 |
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About a stationary Schrödinger-Poisson system with Kohn-Sham potential in a bounded two- or three-dimensional domain (English)
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1 May 2001
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The authors consider the Schrödinger-Poisson system in two and and three space dimensions with or without an exchange-correlation potential. The one-dimensional system was addressed in \textit{H.-C. Kaiser} and \textit{J. Rehberg} [Z. Angew. Math. Phys. 50, 423-458 (1999; Zbl 0928.35030)]. They show that in the case without an exchange-correlation potential the Schrödinger-Poisson system admits the unique solution while with the exchange-correlation potential (i.e. the Kohn-Sham system) it admits always a solution which is unique under certain smallness assumptions on the data of the problem.
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stationary Schrödinger-Poisson system
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Kohn-Sham system
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Schrödinger operator with mixed boundary conditions
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quantum mechanical particle density operator
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nonlinear Poisson equations
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simulation of electronic devices
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electron gas with reduced dimension
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nanoelectronics
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