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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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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/

[1] N. N. Bogolyubov, D. V. Shirkov, Kvantovye polya, Nauka, M., 1993 ; К. Ициксон, Ж.-Б. Зюбер, Квантовая теория поля, Мир, М., 1984 | MR | MR | MR

[2] H. B. G. Casimir, Proc. K. Ned. Akad. Wet., 51 (1948), 793–795 | Zbl

[3] U. Mohideen, A. Roy, Phys. Rev. Lett., 81:21 (1998), 4549–4552, arXiv: ; A. Roy, C.-Y. Lin, U. Mohideen, Phys. Rev. D, 60:11 (1999), 111101, 5 pp., arXiv: physics/9805038quant-ph/9906062 | DOI | DOI

[4] B. W. Harris, F. Chen, U. Mohideen, Phys. Rev. A, 62:5 (2000), 052109, 5 pp., arXiv: quant-ph/0005088 | DOI

[5] G. Bressi, G. Carugno, R. Onofrio, G. Ruoso, Phys. Rev. Lett., 88:4 (2002), 041804, 4 pp., arXiv: quant-ph/0203002 | DOI

[6] M. Bordag, G. L. Klimchitskaya, U. Mohideen, V. M. Mostepanenko, Advances in the Casimir Effect, The International Series of Monographs on Physics, 145, Oxford Univ. Press, Oxford, 2009 | Zbl

[7] K. A. Milton, J. Phys. A: Math. Gen., 37:38 (2004), R209-R277 | DOI | MR | Zbl

[8] K. Symanzik, Nucl. Phys. B, 190:1 (1981), 1–44 | DOI | MR

[9] V. N. Markov, Yu. M. Pis'mak, J. Phys. A: Math. Gen., 39:21 (2006), 6525–6532, arXiv: ; Casimir effect for thin films from imperfect material, arXiv: hep-th/0606058hep-th/0505218 | DOI | MR | Zbl

[10] V. N. Marachevsky, Yu. M. Pis'mak, Phys. Rev. D, 81:6 (2010), 065005, 6 pp., arXiv: 0907.1985 | DOI

[11] D. Yu. Pismak, Yu. M. Pismak, TMF, 175:3 (2013), 442–454 ; 169:1 (2011), 69–78 ; D. Yu. Pis'mak, Yu. M. Pis'mak, ЭЧАЯ, 44:3 (2013), 879–898 | DOI | DOI | MR | Zbl | DOI | DOI | MR | Zbl

[12] D. Yu. Pis'mak, Yu. M. Pis'mak, F. J. Wegner, Phys. Rev. E, 92:1 (2015), 013204, 7 pp., arXiv: 1406.1598 | DOI | MR

[13] K. I. Kondo, T. Ebihara, T. Iizuka, E. Tanaka, Nucl. Phys. B, 434:1 (1995), 85–108, arXiv: ; T. Appelquist, M. J. Bowick, D. Karabali, L. C. R. Wijewardhana, Phys. Rev. D, 33:12 (1986), 3774–3776 hep-ph/9404361 | DOI | DOI

[14] A. N. Grigorenko, M. Polini, K. S. Novoselov, Nature Photonics, 6:11 (2012), 749–758, arXiv: ; A. H. Castro Neto, F. Guinea, N. M. R. Peres, K. S. Novoselov, A. K. Geim, Rev. Modern Phys., 81:1 (2009), 109–162 ; I. V. Fialkovsky, D. V. Vassilevich, J. Phys. A: Math. Theor., 42:44 (2009), 442001, 6 pp. ; W.-K. Tse, A. H. MacDonald, Phys. Rev. B, 84:20 (2011), 205327, 13 pp., arXiv: ; L. Chen, S. Wan, Phys. Rev. B, 84 (2011), 075149, 6 pp. ; J. González, JHEP, 07 (2013), 175, arXiv: ; V. N. Kotov, B. Uchoa, V. M. Pereira, F. Guinea, A. H. Castro Neto, Rev. Modern Phys., 84:3 (2012), 1067–1125, arXiv: ; I. V. Fialkovsky, V. N. Marachevsky, D. V. Vassilevich, Phys. Rev. B, 84:3 (2011), 035446, 10 pp., arXiv: ; G. L. Klimchitskaya, V. M. Mostepanenko, B. E. Sernelius, Phys. Rev. B, 89:12 (2014), 125407, 9 pp., arXiv: ; G. L. Klimchitskaya, V. M. Mostepanenko, Phys. Rev. A, 89:5 (2014), 052512, 7 pp., arXiv: ; J. E. Moore, Nature, 464:728 (2010), 194–198 1301.42411108.38581211.39051012.34841102.17571401.68861404.7057 | DOI | DOI | DOI | Zbl | DOI | DOI | DOI | DOI | DOI | DOI | DOI | DOI

[15] I. V. Fialkovsky, V. N. Markov, Yu. M. Pis'mak, J. Phys. A: Math. Gen., 39:21 (2006), 6357–6363 | DOI | MR | Zbl

[16] G. Bracco, B. Holst (eds.), Surface Science Techniques, Springer Series in Surface Science, 51, Springer, Berlin, 2013 ; M. L. Brongersma, P. G. Kik (ed.), Surface Plasmon Nanophotonics, Springer Series in Optical Sciences, 131, Springer, Berlin, 2007 ; S. A. Maier, Plasmonics: Fundamental and Applications, Springer, Berlin, 2007 | DOI | MR | DOI