کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
520280 867709 2014 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Single-cone real-space finite difference scheme for the time-dependent Dirac equation
ترجمه فارسی عنوان
یک تفاضل محدود تک فضایی فضای واقعی برای معادله دیراک وابسته به زمان
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
چکیده انگلیسی

A finite difference scheme for the numerical treatment of the (3+13+1)D Dirac equation is presented. Its staggered-grid intertwined discretization treats space and time coordinates on equal footing, thereby avoiding the notorious fermion doubling problem. This explicit scheme operates entirely in real space and leads to optimal linear scaling behavior for the computational effort per space–time grid-point. It allows for an easy and efficient parallelization. A functional for a norm on the grid is identified. It can be interpreted as probability density and is proved to be conserved by the scheme. The single-cone dispersion relation is shown and exact stability conditions are derived. Finally, a single-cone scheme for the two-component (2+12+1)D Dirac equation, its properties, and a simulation of scattering at a Klein step are presented.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 265, 15 May 2014, Pages 50–70
نویسندگان
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