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math-ph2010★ 15 cited
Ewald Sums for One Dimension
Bruce N. Miller, Jean-Louis Rouet
We derive analytic solutions for the potential and field in a one-dimensional system of masses or charges with periodic boundary conditions, in other words Ewald sums for one dimen…
math-ph2007
Development of Fractal Geometry in a 1+1 Dimensional Universe
Bruce N. Miller, Jean-Louis Rouet, Emmanuel Le Guirriec
Observations of galaxies over large distances reveal the possibility of a fractal distribution of their positions. The source of fractal behavior is the lack of a length scale in t…