کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10728193 1037903 2005 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the degrees of freedom of lattice electrodynamics
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک و نجوم (عمومی)
پیش نمایش صفحه اول مقاله
On the degrees of freedom of lattice electrodynamics
چکیده انگلیسی
Using Euler's formula for a network of polygons for 2D case (or polyhedra for 3D case), we show that the number of dynamic degrees of freedom of the electric field equals the number of dynamic degrees of freedom of the magnetic field for electrodynamics formulated on a lattice. Instrumental to this identity is the use (at least implicitly) of a dual lattice and of a (spatial) geometric discretization scheme based on discrete differential forms. As a by-product, this analysis also unveils a physical interpretation for Euler's formula and a geometric interpretation for the Hodge decomposition.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physics Letters A - Volume 336, Issue 1, 28 February 2005, Pages 1-7
نویسندگان
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