An efficient numerical scheme for the discrete Wigner transport equation via the momentum domain narrowing
Author(s) -
Kyoung-Youm Kim,
Jungho Kim,
Saehwa Kim
Publication year - 2016
Publication title -
aip advances
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.421
H-Index - 58
ISSN - 2158-3226
DOI - 10.1063/1.4954237
Subject(s) - momentum (technical analysis) , computation , wigner distribution function , scheme (mathematics) , domain (mathematical analysis) , mathematics , function (biology) , computer science , numerical analysis , physics , mathematical analysis , statistical physics , classical mechanics , mathematical optimization , algorithm , quantum mechanics , finance , evolutionary biology , economics , quantum , biology
We propose a numerical scheme that narrows down the momentum domain of the Wigner function to enhance numerical efficiency. It enables us to decrease the number of mesh points while maintaining the same mesh spacing in the momentum coordinate. The proposed scheme thus not only requires less memory but can significantly reduce the computation time. To minimize resultant loss of numerical accuracy, we also propose the partial local potential averaging method
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