This article is cited in 13 papers

Modeling the interaction of a material plane with a spinor field in the framework of Symanzik's approach

D. Yu. Pis'mak, Yu. M. Pis'mak

St. Petersburg State University, St. Petersburg, Russia

Abstract: Based on Symanzik's approach, we propose a model of the interaction of a spinor with a material plane. We investigate the scattering of Dirac particles on the plane and the properties of states localized in its vicinity. The model can find application to a wide class of phenomena occurring during the interaction of quantum-electrodynamics fields with two-dimensional materials.

Keywords: Casimir effect, electrodynamics in a space with macroscopic inhomogeneities, Chern–Simons potential, nanophysics, interaction of Dirac fields with two-dimensional objects.

Received: 28.02.2015

DOI: 10.4213/tmf8922

 English version: Theoretical and Mathematical Physics, 2015, 184:3, 1329–1341

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