Helicity -- from Clifford to Graphene

Details Helicity -- from Clifford to Graphene Helicity -- from Clifford to Graphene

2012-03-31

arxiv.org/abs/1204.0135v1

Physics

Mathematical Physics

13 pages

Scientific paper

We investigate two seemingly disjoint definitions of helicity, one commonly used in particle physics, the other one used when studying bilinear covariants of Clifford algebras. We can prove that the `mathematical' definition of helicity implies its `physical' counterpart. As an unexpected application of our result we show that the Hamiltonian describing the one-layer superconductor Graphene is proportional to the trace of an operator that is used in the `mathematical' definition of helicity.

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