The Physics Society of Iran Iranian Journal of Physics Research 1682-6957 16 2 2019 11 26 Relativistic Cherenkov radiation in a magneto-dielectric media Relativistic Cherenkov radiation in a magneto-dielectric media 195 198 1194 10.18869/acadpub.ijpr.16.2.195 FA Journal Article 2019 11 26 In this paper, relativistic Cherenkov radiation was studied in a 3-D magneto-dielectric medium. Electric permittivity and magnetic permeability of the medium as functions of frequency, are assumed to satisfy Kramers- Kronig equations. A new interaction Hamiltonian, which is different from Hamiltonian term in non-relativistic state, was introduced by the quantized vector potential field and particle field operator obtained from the second quantization method. The rate of electron energy dissipation was calculated using Fermi’s golden rule. In this paper, relativistic Cherenkov radiation was studied in a 3-D magneto-dielectric medium. Electric permittivity and magnetic permeability of the medium as functions of frequency, are assumed to satisfy Kramers- Kronig equations. A new interaction Hamiltonian, which is different from Hamiltonian term in non-relativistic state, was introduced by the quantized vector potential field and particle field operator obtained from the second quantization method. The rate of electron energy dissipation was calculated using Fermi’s golden rule. https://ijpr.iut.ac.ir/article_1194_a42a596fc71e17828440030074d15e74.pdf