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We present a simple and direct proof of the equivalence of various
functional inequalities such as Sobolev or Nash inequalities. This
proof applies in the context of Riemannian or sub-elliptic geome...
Klein tunneling in carbon nanostructures: a free particle dynamics in disguise
Klein tunneling carbon nanostructures particle dynamics disguise
2010/11/9
The absence of backscattering in metallic nanotubes as well as perfect Klein tunneling in the potential barriers in graphene are explained by showing that both phenomena have a free particle dynamics...