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Title
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Self-Energy Approach for solving the Wigner-Transport Equation
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Sub-Title |
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Subject |
2nd International Wigner Workshop, Book of Abstract
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Sub-Subject |
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Author |
Dirk Schulz, Khurram S. Khalid and Lukas Schulz
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Publish Year |
2017 |
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Supervisor |
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Diss#. |
Windermere, UK |
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Chapters |
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Pages |
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Text Language |
English |
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Accession |
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Library Section |
Conference Proceedings |
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Abstract |
An efficient numerical solution of the Wigner-transport equation based on the Wigner-Weyl
transformation is desirable. Unfortunately, conventional approaches suffer from different
drawbacks. On the one hand the drift operator represents a function, which oscillates strongly
due to the spatial frequency leading to high approximation errors as the Fourier integrals within
the Wigner-transport equation are not converging with respect to the Hartree-Fock potential
[1]. On the other hand so-called upwind difference methods are used for the numerical
approximation, which overestimate diffusion effects [2]. Therefore, coherent effects cannot be
described adequately and inherent errors are a consequence. Furthermore, local boundary
conditions are assumed, which neglect the non-local behavior of quantum mechanics [3].
Open boundary conditions are needed. The numerical results deviate from the results
obtained by coherent models when scattering is neglected
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