SIPS2022 Volume 16 Intl. Symp on Mathematics, Modelling and Geomechanics

Editors: | F. Kongoli, E. Aifantis, T. Vougiouklis, A. Bountis, P. Mandell, R. Santilli, A. Konstantinidis, G. Efremidis. |

Publisher: | Flogen Star OUTREACH |

Publication Year: | 2022 |

Pages: | 235 pages |

ISBN: | 978-1-989820-64-3(CD) |

ISSN: | 2291-1227 (Metals and Materials Processing in a Clean Environment Series) |

The charged moving particle in a medium when its speed is faster than the speed of light in this medium produces electromagnetic radiation which is called the Cerenkov radiation. We derive the photon power spectrum, including the radiative corrections, generated by charged particle moving within 2D graphene sheet with implanted ions. Graphene with implanted ions, or, also 2D-glasses,

are dielectric media, enabling the experimental realization of the Cerenkov radiation. It is not excluded that LEDs with the 2D dielectric sheets will be the crucial components of detectors in experimental particle physics. So, the article represents the starting point of the unification of graphene physics with the physics of elementary particles.

Bludov, Yu. V., Peres, N. M. R. and Vasilevskii, M. I. (2012). Graphene-based polaritonic crystal, arXiv:1204.3900v1,[cond-mat.mes-hall].

Bolotovskii, B. M. (2009). Vavilov-Cherenkov radiation: its discovery and application,Physics-Uspekhi 52(11), 1099-1110.

ˇCerenkov, P. A. (1934). The visible radiation of pure liquids caused by -rays, Comptes Rendus Hebdomaclaires des Scances de l' Academic des Sciences USSR 2, 451.

Ginzburg, V. N. and Tsytoviˇc, V. L. The transition radiation and the transition scattering, (NAUKA, Moscow, 1984). (in Russian).

Gradshteyn, J. S. and Ryzhik, I. M. Tables of integrals, sums, series and products, (GIFML, Moscow, 1962). (in Russian).

Heaviside, O. (1889). On the electromagnetic effects due to the motion of electrification through a dielectric, Philos. Mag., S. 5, 27, 324-339.

Kelvin, L. (1901). Nineteenth century clouds over the dynamical theory of heat and light, Philos. Mag., S. 6, 2, 1-40.

Kuznetsov, D. S. The special functions, (State Publishing House - High School; Moscow, (1962). (in Russian).

Mallet, L. (1926). Spectral research of luminescence of water and other media with gamma radiation, Comptes Rendus, 183, 274.; ibid. (1929a).Comptes Rendus, 187, 222.;ibid. (1929b). Comptes Rendus, 188, 445.

Manoukian E. B. (1991). Electromagnetic Radiation from a Nambu String at Finite Temperatures, Nuovo Cimento 104 A, N. 9, 1409.

Manoukian E. B. (1992). ee+ Production by a Nambu string, International Journal of Theoretical Physics, 31, No. 6 1003-1006.

Pardy, M. (1989). Finite-temperature ˇCerenkov radiation, Physics Letters A 134(6), 357.

Pardy M. (1994). The ˇCerenkov effect with radiative corrections, Physics Letters B 325, 517-520.

Pardy, M. (1997). ˇCerenkov effect and the Lorentz contraction, Phys. Rev. A 55, 1647.

Pardy, M. (2002). ˇCerenkov effect with massive photons, International Journal of Theoretical Physics, 41(5), 887.

1So, the adequate name of this effect is the Vavilov-ˇCerenkov effect. In the English literature, however, it is usually called the ˇCerenkov effect.

Pardy M. (2015). The two-dimensional Vavilov-ˇCerenkov radiation in LED, Results in Physics 5, 69-71.

Schwinger, J., Tsai, W. Y. and Erber, T. (1976). Classical and quantum theory of synergic synchrotron-ˇCerenkov radiation, Annals of Physics (NY) 96, 303.

Sommerfeld, A. (1904). Zur Elektronentheorie: II. Grundlagen f¨ur eine allgemeine Dynamik des Elektrons, Gottingen Nachr., 99, 363-439.

Tamm, I. E. and Frank, I. M. (1937). The coherent radiation of a fast electron in a medium, Dokl. Akad. Nauk SSSR 14, 109.

Zuev, V. S. (2009). Vavilov-ˇCerenkov phenomenon in metal nanofilms, arXiv:0907.1145, [Optics (physics.optics)].