Geodesic
Modeling the~interaction of a~material plane with a~spinor field in the~framework of Symanzik's approach
Teoretičeskaâ i matematičeskaâ fizika, Tome 184 (2015) no. 3, pp. 505-519

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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.
Mots-clés : Casimir effect
Keywords: electrodynamics in a space with macroscopic inhomogeneities, Chern–Simons potential, nanophysics, interaction of Dirac fields with two-dimensional objects. 
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     author = {D. Yu. Pis'mak and Yu. M. Pis'mak},
     title = {Modeling the~interaction of a~material plane with a~spinor field in the~framework of {Symanzik's} approach},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {505--519},
     publisher = {mathdoc},
     volume = {184},
     number = {3},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2015_184_3_a15/}
}
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D. Yu. Pis'mak; Yu. M. Pis'mak. Modeling the~interaction of a~material plane with a~spinor field in the~framework of Symanzik's approach. Teoretičeskaâ i matematičeskaâ fizika, Tome 184 (2015) no. 3, pp. 505-519. http://geodesic.mathdoc.fr/item/TMF_2015_184_3_a15/