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- W1976127345 abstract "Using Euler's formula for a network of polygons for 2D case (or polyhedra for 3D case), we show that the number of dynamictextit{}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." @default.
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- W1976127345 date "2005-02-01" @default.
- W1976127345 modified "2023-10-16" @default.
- W1976127345 title "On the degrees of freedom of lattice electrodynamics" @default.
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- W1976127345 doi "https://doi.org/10.1016/j.physleta.2005.01.001" @default.
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