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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2011, Issue 2(7), Pages 11–14
(Mi pfmt93)
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PHYSICS
On internal symmetries of the Dirac equation in graphene
P. P. Andrusevicha, V. A. Pletyukhovb, V. I. Strazheva
a Belarusian State University, Minsk
b Brest State University, Brest
Abstract:
The internal symmetries of massless and massive Dirac equations in space-time $2+1$ are investigated. It is shown that the massless Dirac equation has 12-parameter symmetry group which as a subgroup contains 10-parameter group Lee $\mathrm{SO}(3,2)$. The massive equation $(m \ne 0)$ has the symmetry group $\operatorname{SO}(2,2)$.
Keywords:
internal symmetry, Dirac field, generators, group, invariance.
Received: 01.06.2011
Citation:
P. P. Andrusevich, V. A. Pletyukhov, V. I. Strazhev, “On internal symmetries of the Dirac equation in graphene”, PFMT, 2011, no. 2(7), 11–14
Linking options:
https://www.mathnet.ru/eng/pfmt93 https://www.mathnet.ru/eng/pfmt/y2011/i2/p11
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