Numerical studies of Casimir interactions

Details Numerical studies of Casimir interactions Numerical studies of Casimir interactions

2008-01-28

arxiv.org/abs/0801.4385v1

Physics

Quantum Physics

4 pages, 5 figures

Scientific paper

We study numerically the Casimir interaction between dielectrics in both two and three dimensions. We demonstrate how sparse matrix factorizations enable one to study torsional interactions in three dimensions. In two dimensions we study the full cross-over between non-retarded and retarded interactions as a function of separation. We use constrained factorizations in order to measure the interaction of a particle with a rough dielectric surface and compare with a scaling argument.

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