Modeling the interaction of a material plane with a spinor field in the framework of Symanzik’s approach. (English. Russian original) Zbl 1336.81085
Theor. Math. Phys. 184, No. 3, 1329-1341 (2015); translation from Teor. Mat. Fiz. 184, No. 3, 505-519 (2015).
Summary: 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.
MSC:
| 81T55 | Casimir effect in quantum field theory |
| 81V10 | Electromagnetic interaction; quantum electrodynamics |
| 81T10 | Model quantum field theories |
| 82D80 | Statistical mechanics of nanostructures and nanoparticles |
| 81Q05 | Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics |
| 81U05 | \(2\)-body potential quantum scattering theory |
Keywords:
Casimir effect; electrodynamics in a space with macroscopic inhomogeneities; Chern-Simons potential; nanophysics; interaction of Dirac fields with two-dimensional objectsReferences:
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